Bulletin of the American Mathematical Society

1.: S. Agmon, Spectral properties of Schrödinger operators and scattering theory, Ann. Scuola Norm Sup. Pisa II 2 (1979), 151-218. MR 397194
2.: S. Agmon, On exponential decay of solutions of second order elliptic equations in unbounded domains, Proc. Conf. A. Pleijel.
3.: S. Agmon, private communication (in preparation).
4.: S. Agmon, Lectures on exponential decay of solutions of second order elliptic equations. Bounds on eigenfunctions of N-body Schrödinger operators. Mathematical Notes, Princeton Univ. Press, Princeton, N.J., 1982. MR 745286
5.: J. Aguilar and J. Combes, A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys. 22 (1971), 269-279. MR 345551
6.: R. Ahlrichs, Asymptotic behavior of atomic bound state wave functions, J. Math. Phys. 14 (1973), 1860-1863. MR 351312
7.: R. Ahlrichs, M. Hoffman-Ostenhof and T. Hoffman-Ostenhof, Bounds on the long-range behavior of atomic wave functions, J. Chem. Phys. 68 (1978), 1402-1410.
8.: R. Ahlrichs, M. Hoffman-Ostenhof, T. Hoffman-Ostenhof and J. Morgan, Bounds on the decay of electron densities with screening, Phys. Rev. A 23 (1981), 2106-21 MR 611815
9.: M. Aizenman and B. Simon, Brownian motion and Harnack's inequality for Schrödinger operators, Comm. Pure Appl. Math. 35 (1982), 209-271. MR 644024
10.: S. Albeverio, R. Hoegh-Krohn and L. Streit, Energy forms, Hamiltonians and distorted Brownian paths, J. Math. Phys. 18 (1977), 907-917. MR 446236
11.: S. Albeverio, Regularization of Hamiltonians and processes, J. Math. Phys. 21 (1980), 1636-1642. MR 575597
12.: V. de Alfaro and T. Regge, Potential scattering, North-Holland, Amsterdam, 1965.
13.: W. Allegretto, On the equivalence of two types of oscillation for elliptic operators, Pacific J. Math. 55 (1974), 319-328. MR 374628
14.: W. Allegretto, Spectral estimates and oscillation of singular differential operators, Proc. Amer. Math. Soc. 73 (1979), 51. MR 512057
15.: W. Allegretto, Positive solutions and spectral properties of second order elliptic operators, Pacific J. Math. 92 (1981), 15-25. MR 618041
16.: W. Amrein, A. Berthier and V. Georgescu, L, Ann. Inst. Fourier (Grenoble) 31 (1981), 153-168. MR 638622
17.: J. Avron and I. Herbst, Spectral and scattering theory of Schrödinger operators related to the Stark effect, Comm. Math. Phys. 52 (1977), 239-254. MR 468862
18.: J. Avron and B. Simon, Singular continuous spectrum for a class of almost periodic Jacobi matrices, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 81-86. MR 634437
19.: J. Avron and B. Simon, Almost periodic Schrödinger operators. II, The density of states (preprint)
20.: N. Bazley and D. Fox, Bounds for eigenfunctions of one-electron molecular systems, Internat. J. Quant. Chem. 3 (1969), 581-586.
21.: M. Benderskii and L. Pastur, On the spectrum of the one dimensional Schrödinger equation with a random potential, Mat. Sb. 82 (1970), 245-256. MR 262623
22.: J. Berezanskii, On expansion according to eigenfunctions of general self-adjoint differential operators, Dokl. Akad. Nauk SSSR 108 (1956), 379-382. MR 80895
23.: J. Berezanskii, Expansions in eigenfunctions of self adjoint operators, Transl. Math. Mono., vol. 17, Amer. Math. Soc., Providence, R.I., 1968. MR 222718
24.: F. Berezin, Wick and anti-Wick symbols, Math. USSR Sb. 15 (1971), 577-606.
25.: A. M. Berthier, Sur le spectre poncture de l'operateur de Schrödinger, C. R. Acad. Sci. Paris Sér. A 290 (1980), 393-395. MR 567538
26.: A. M. Berthier, On the point spectrum of Schrödinger operators, Ann. Sci. École Norm. Sup. (to appear).
27.: A. Berthier and B. Gaveau, Critère de convergence des fonctionelles de Kac et applications en mechanique et en géométrie, J. Funct. Anal. 29 (1978), 416-424. MR 512253
28.: M. Birman and M. Krein, On the theory of wave operators and scattering operators, Dokl. Akad. Nauk SSSR 144 (1962), 475-478. MR 139007
29.: H. Brascamp and E. H. Lieb, Best constants in Young's inequality, its converse and its generalization to more than three functions, Adv. in Math. 20 (1976), 151-173. MR 412366
30.: H. Brascamp, E. Lieb and J. Luttinger, A general rearrangement inequality for multiple integrals, J. Funct. Anal. 17 (1974), 227-237. MR 346109
31.: H. Brezis and T. Kato, Remarks on the Schrödinger operator with singular complex potentials, J. Math. Pures Appl. 58 (1979), 137-151. MR 539217
32.: F. Browder, Eigenfunction expansions for formally self-adjoint partial differential operators. I, II, Proc. Nat. Acad. Sci. USA 42 (1956), 769-771; 870-872. MR 92091
33.: T. Carleman, Sur un problème d'unicité pour les systèmes d'équations aux dérivés partielles à deux variables indépendantes, Ark. Mat. 26B (1939), 1-9.
34.: R. Carmona, Regularity properties of Schrödinger and Dirichlet semigroups, J. Funct. Anal. 17 (1974), 227-237. MR 549115
35.: R. Carmona, Pointwise bounds for Schrödinger eigenstates, Comm. Math. Phys. 62 (1978), 97-106. MR 505706
36.: R. Carmona, Exponential localization in one dimensional disordered systems, Duke Math. J. (to appear). MR 650377
37.: R. Carmona and B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V. Lower bounds and path integrals, Comm. Math. Phys. 80 (1981), 59-98. MR 623152
38.: K. Chung and S. Varadhan, Kac functional and Schrödinger equation, Studia Math. 68 (1980), 249-260. MR 599148
39.: K. Chung and K. Rao, Sur la théorie du potentiel avec la fonctionelle de Feynman-Kac, C. R. Acad. Sci. Paris Sér. A 290 (1980), 629-631. MR 572652
40.: J. Combes, Time dependent approach to multichannel scattering, Nuovo Cimento A 64 (1969), 111-144.
41.: J. M. Combes, M. Hoffman-Ostenhof and T. Hoffman-Ostenhof, Asymptotics of atomic ground states: the relation between the ground states of helium and the ground state of He, J. Math. Phys. 22 (1981), 1299-1305. MR 621279
42.: J. Combes, R. Schrader and R. Seiler, Classical bounds and limits for energy distributions of Hamiltonian operators in electromagnetic fields, Ann. Physics 111 (1978), 1-18. MR 489509
43.: J. Combes and L. Thomas, Asymptotic behavior of eigenfunctions for multi-particle Schrödinger operators, Comm. Math. Phys. 34 (1973), 251-270. MR 391792
44.: M. Cwickel, Weak type estimates and the number of bound states of Schrödinger operators, Ann. of Math. (2) 106 (1977), 93-102. MR 473576
45.: E. B. Davies, Properties of Green's functions of some Schrödinger operators, J. London Math. Soc. 7 (1973), 473-491.
46.: E. B. Davies, Eigenfunction expansions for singular Schrödinger operators, Arch. Rational Mech. Anal. 63 (1977), 261. MR 426690
47.: E. B. Davies, Some norm bounds and quadratic form inequalities for Schrödinger operators, J. Operator Theory (to appear). MR 695944
48.: E. B. Davies, JWKB and related bounds on Schrödinger eigenfunctions, Univ. London (preprint). MR 663479
49.: E. Davies and B. Simon, Scattering theory for systems with differing asymptotics on the left and right, Comm. Math. Phys. 63 (1978), 277-301. MR 513906
50.: P. Deift, W. Hunziker, B. Simon and E. Vock, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV, Comm. Math. Phys. 64 (1978), 1-34. MR 516993
51.: M. Eastham, The spectral theory of periodic differential equations, Scottish Academic Press, 1973.
52.: J. P. Eckmann, Hypercontractivity for anharmonic oscillators, J. Funct. Anal. 16 (1974), 388-404. MR 372683
53.: V. Enss, A note on Hunziker's theorem, Comm. Math. Phys. 52 (1977), 233-238. MR 446195
54.: W. Faris, Perturbations and non-normalizable eigenvectors, Helv. Phys. Acta 44 (1971), 936. MR 356751
55.: W. Faris, Quadratic forms and essential self-adjointness, Helv. Phys. Acta 45 (1972), 1074-1088. MR 383964
56.: W. Faris, Essential self-adjointness of operators in ordered Hilbert space, Comm. Math. Phys. 30 (1973), 23-34. MR 323265
57.: W. Faris, private communication.
58.: W. Faris and R. Lavine, Commutators and self-adjointness of Hamiltonian operators, Comm. Math. Phys. 35 (1974), 39-48. MR 391794
59.: H. Federer, Geometric measure theory,Springer-Verlag, Berlin and New York, 1969. MR 257325
60.: R. Froese, I. Herbst, M. Hoffman-Ostenhof and T. Hoffman-Ostenhof, L, Comm. Math. Phys. (to appear).
61.: D. Fujiwara, A construction of the fundamental solution for the Schrödinger equation, J. Analyse Math. 35 (1979), 41-96. MR 555300
62.: D. Fujiwara, On a nature of convergence of some Feynman path integrals. I, Proc. Japan Acad. Ser. A Math. Sci. 55 (1979), 195-200. MR 542391
63.: D. Fujiwara, Remarks on convergence of Feynman path integrals, Duke Math. J. 47 (1980), 559-600. MR 587166
64.: M. Fukushima, On the spectral distribution of a disordered system and the range of a random walk, Osaka J. Math. 11 (1974), 73-85. MR 353462
65.: M. Fukushima, On the asymptotics of Schrödinger operators with random potentials, Bielefeld, 1980 (preprint). MR 954630
66.: M. Fukushima and S. Nakao, On spectra of the Schrödinger operator with a white noise potential, Z. Wahrsch. Verw. Gebiete 37 (1977), 267-274. MR 438481
67.: L. Garding, Eigenfunction expansions connected with elliptic differential operators, Tolfte Skend. Mat. Lund, 1953, pp. 44-45. MR 71625
68.: B. Gaveau and E. Mazet, Divergence des fonctionelles de Kac et diffusion quantique, C. R. Acad. Sci. Paris Sér. A 291 (1980), 559-562. MR 600171
69.: I. Gel'fand, Expansion in series of eigenfunctions of an equation with periodic coefficients, Dokl. Akad. Nauk SSSR 73 (1950), 1117-1120. MR 39154
70.: I. Gel'fand and A. Kostjucenko, Expansion in eigenfunctions of differential and other operators, Dokl. Akad. Nauk SSSR 103 (1955), 349-352. MR 73136
71.: V. Georgescu, On the unique continuation property for Schrödinger Hamiltonians, Helv. Phys. Acta 52 (1979), 655-670. MR 576454
72.: D. Gilvarg and N. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, Berlin and New York, 1977. MR 473443
73.: J. Glimm, Boson fields with nonlinear self-interaction in two dimensions, Comm. Math. Phys. 8 (1968), 12-25. MR 231601
74.: J. Glimm and A. Jaffe, A λф⁴ quantum field theory without cutoffs. I, Phys. Rev. 176 (1968), 1945-1951. MR 247845
75.: J. Glimm and A. Jaffe, The λ(ф⁴)₂ quantum field theory without cutoffs. II. The field operators and the approximate vacuum, Ann. of Math. (2) 91 (1970), 362-401. MR 256677
76.: J. Glimm and A. Jaffe, Quantum physics, Springer-Verlag, Berlin and New York, 1981. MR 628000
77.: Ya. Goldshtein, S. Molchanov and L. Pastur, A pure point spectrum of the stochastic one-dimensional Schrödinger operator, Funkcional Anal. i Priložen. 11 (1977), 1. MR 470515
78.: L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1976), 1061-1083. MR 420249
79.: E. Heinz, Über die Eindautigkeit beim Cauchyschen Anfabgswertproblem einer elliptischen differentialgleichung zweiter Ordnung, Nach. Akad. Wiss. Göttingen Math.-Phys. Kl. Il (1955), 1-12. MR 74666
80.: I. Herbst, Dilation analyticity in constant electric field. The two-body problem, Comm. Math. Phys. 64 (1979), 279. MR 520094
81.: I. Herbst and J. Howland, The Stark ladder and other one-dimensional external field problems, Comm. Math. Phys. 80 (1981), 23. MR 623150
82.: I. Herbst and B. Simon, Dilation analyticity in constant electric field. II. The N-body problem, Borel summability, Comm. Math. Phys. 80 (1981), 181-216. MR 623157
83.: I. Herbst and A. Sloan, Perturbations of translation invariant positivity preserving semigroups in L²(R), Trans. Amer. Math. Soc. 236 (1978), 325-360. MR 470750
84.: H. Hess, R. Schrader and D. Uhlenbrock, Domination of semigroups and generalization of Kato's inequality, Duke Math. J. 44 (1977), 893-904. MR 458243
85.: R. Hoegh-Krohn, A general class of quantum field theories without cutoffs in two space-time dimensions, Comm. Math. Phys. 21 (1971), 244-255. MR 292433
86.: M. Hoffman-Ostenhof and T. Hoffman-Ostenhof, Schrödinger inequalities and asymptotic behavior of the electron density of atoms and molecules, Phys. Rev. A 16 (1977), 1782-1785. MR 471726
87.: M. Hoffman-Ostenhof, T. Hoffman-Ostenhof and B. Simon, On the nodal structure of atomic eigenfunctions, J. Phys. A 13 (1980), 1131-1133. MR 565760
88.: M. Hoffman-Ostenhof, T. Hoffman-Ostenhof and B. Simon, Brownian motion and a consequence of Harnack's inequality: nodes of quantum wave functions, Proc. Amer. Math. Soc. 80 (1980), 301-305. MR 577764
89.: M. Hoffman-Ostenhof and R. Seiler, Cusp conditions for eigenfunctions of N-electron systems, Phys. Rev. A 23 (1981), 21-23. MR 597107
90.: T. Hoffman-Ostenhof, A comparison theorem for differential inequalities with applications in quantum mechanics, J. Phys. A 13 (1980), 417-424. MR 558638
91.: T. Hoffman-Ostenhof, Lower and upper bounds to the decay of the ground state one-electron density of helium-like systems, J. Phys. A 12 (1979), 1181-1187. MR 536921
92.: T. Hoffman-Ostenhof, A lower bound to the decay of ground states of two electron atoms, Phys. Lett. A 77 (1980), 140-142.
93.: T. Hoffman-Ostenhof and M. Hoffman-Ostenhof, Bounds to expectation values and exponentially decreasing upper bounds to the one electron density of atoms, J. Phys. B 11 (1978), 17-24.
94.: T. Hoffman-Ostenhof and M. Hoffman-Ostenhof, Exponentially decreasing upper bounds to the electron density of atoms, Phys. Lett. A 59 (1976), 373-374.
95.: T. Hoffman-Ostenhof, M. Hoffman-Ostenhof and R. Ahlrichs, Schrödinger inequalities and asymptotic behavior of many electron densities, Phys. Rev. A 18 (1978), 328-334.
96.: J. Hooton, Dirichlet forms associated with hypercontractive semigroups, Trans. Amer. Math. Soc. 253 (1979), 237-256. MR 536945
97.: J. Hooton, Dirichlet semigroups on bounded domains, Louisiana State Univ. (preprint). MR 661738
98.: L. Hörmander, Seminar Schwarz, 1981.
99.: L. Hörmander, Linear partial differential operators, Springer-Verlag, Berlin and New York, 1964. MR 248435
100.: W. Hunziker, Space-time behavior of Schrödinger wave functions, J. Math. Phys. 7 (1966), 300-304. MR 193939
101.: T. Ikebe, Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory, Arch. Rational Mech. Anal. 5 (1960), 1-34; Erratum: J. Fac. Sci. Tokyo Univ. 17 (1970), 355-361. MR 128355
102.: T. Ikebe, Spectral representation for Schrödinger operators with long-range potentials. I, II, J. Funct. Anal. 20 (1975), 158-177; Publ. Res. Inst Math. Sci. 11 (1976), 551-558. MR 440213
103.: T. Ikebe and H. Isozaki, Completeness of modified wave operators for long range potentials, Publ. Res. Inst. Math. Sci. 15 (1979), 679-718. MR 566076
104.: H. Isozaki, On the long-range stationary wave operator, Publ. Res. Inst. Math. Sci. 13 (1977), 589-626. MR 479087
105.: A. Jensen and T. Kato, Asymptotic behavior of the scattering phase for exterior domains, Comm. Partial Differential Equations 3 (1978), 1165-1195. MR 512084
106.: R. Johnson and J. Moser, The rotation number for almost periodic potentials, ETH (preprint). MR 667409
107.: G. Kac, Expansion in characteristic functions of self-adjoint operators, Dokl. Akad. Nauk SSSR 119 (1958), 19-22. MR 104896
108.: H. Kalf, U. Schminzke, J. Walter and R. Wüst, On the spectral theory of Schrödinger and Dirac operators with strongly singular potentials, Lecture Notes in Math., vol. 448, Springer-Verlag, Berlin and New York, 1975. MR 397192
109.: B. Karlerson, Self-adjointness of Schrödinger operators, Institut Mittag-Leffler Rep. no. 6, 1976.
110.: T. Kato, On the eigenfunctions of many particle systems in quantum mechanics, Comm. Pure Appl. Math. 10 (1957), 151-171. MR 88318
111.: T. Kato, Wave operators and similarity for some non-selfadjoint operators, Math. Ann. 162 (1966), 258-279. MR 190801
112.: T. Kato, Schrödinger operators with singular potentials, Israel J. Math. 13 (1973), 135-148. MR 333833
113.: T. Kato, Remarks on Schrödinger operators with vector potentials, Integral Equations Operator Theory 1 (1978), 103-113. MR 470516
114.: T. Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin and New York, 1966. MR 203473
115.: R. Khas'minskii, On positive solutions of the equation Uu + Vu = 0, Theory Probab. Appl. 4 (1959), 309-318. MR 123373
116.: W. Kirsch and F. Martinelli, On the density of states of Schrödinger operators with random potential, J. Phys. A. (to appear). MR 665829
117.: H. Kitada, Scattering theory for Schrödinger operators with long range potential. I, II, J. Math. Soc. Japan 29 (1977), 655-691; 30 (1978), 603-632. MR 634803
118.: H. Kitada, On a construction of the fundamental solution for Schrödinger equations, J. Fac. Sci. Univ. Tokyo IA 27 (1980), 193-226. MR 573337
119.: H. Kitada and H. Kumanoago, A family of Fourier integral operators and the fundamental solution for a Schrödinger equation, Osaka J. Math. 18 (1981), 291-360. MR 628838
120.: V. Korotkov, Integral operators with Carleman kernels, Dokl. Akad. Nauk SSSR 165 (1965), 748-757. MR 209921
121.: S. Kotani, On asymptotic behavior of the spectra of a one dimensional Hamiltonian with a certain random coefficient, Publ. Res. Inst. Math. Sci. 12 (1976), 447-476. MR 433610
122.: V. F. Kovalenko, M. A. Perelmuter and Y. Semenov, Schrödinger operators with L(R)-potentials, J. Math. Phys. 22 (1981), 1033-1044. MR 622855
123.: V. Kovalenko and Yu. Semenov, Some problems on expansions in generalized eigenfunctions of the Schrödinger operator with strongly singular potentials, Russian Math. Surveys 33 (1978), 119-157. MR 510671
124.: M. G. Krein, On the trace formula in the theory of perturbation, Mat. Sb. 33 (1953), 597-626. MR 60742
125.: M. G. Krein, On perturbation determinants and a trace formula for unitary and selfadjoint operators, Dokl. Akad. Nauk SSSR 144 (1962), 268-271. MR 139006
126.: S. Kuroda, Scattering theory for differential operators. I, II, J. Math. Soc. Japan 25 (1973), 75-104; 222-234.
127.: R. Lavine, The local spectral density and its classical limit (preprint).
128.: H. Leinfelder, Gauge invariance of Schrödinger operators and related spectral properties, J. Operator Theory (to appear). MR 695945
129.: H. Leinfelder and C. G. Simader, Schrödinger operators with singular magnetic vector potentials, Math. Z. 176 (1981), 1-19. MR 606167
130.: E. Lieb and B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI. Asymptotics in the two cluster region, Adv. Appl. Math. 1 (1980), 324-343. MR 603134
131.: L. Lithner, A theorem of Phragmón Lindelof type for second order elliptic operators, Ark. Mat. 5 (1965), 281-285. MR 168901
132.: V. Maslov, On the asymptotics of generalized functions of the Schrödinger equation, Uspehi Mat. Nauk. 16 (1961), 253-254.
133.: H. McKean, -Δ plus a bad potential, J. Math. Phys. 18 (1977), 1277-1279. MR 436826
134.: S. Mercuriev, On the asymptotic form of three body wave functions for the discrete spectrum, Soviet J. Nuclear Phys. 19 (1974), 222-229.
135.: S. Molcanov, The structure of eigenfunctions of one dimensional unordered structures, Math. USSR-Isv. 12 (1978), 69-101. MR 486981
136.: J. Morgan, The exponential decay of subcontinuum wave functions of two electron atoms, J. Phys. A 10 (1977), 291.
137.: J. Moser, On Harnack 's theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961), 577-591. MR 159138
138.: W. Moss and J. Piepenbrink, Positive solutions of elliptic equations, Pacific J. Math. 75 (1978), 219-226. MR 500041
139.: C. Muller, On the behavior of the solution of the differential equation Δu = f(x, u) in the neighborhood of a point, Comm. Pure Appl. Math. 1 (1954), 505-515. MR 62920
140.: S. Nakao, On the spectral distribution of the Schrödinger operator with a random potential, Japan J.Math. 3 (1977), 111-139. MR 651925
141.: E. Nelson, A quartic interaction in two dimension, Mathematical Theory of Elementary Particles, MIT Press, Cambridge, Mass., 1966, pp. 69-73. MR 210416
142.: E. Nelson, The free Markov field, J. Funct. Anal. 12 (1973), 211-227. MR 343816
143.: A. O'Connor, Exponential decay of bound state wave functions, Comm. Math. Phys. 32 (1973), 319-340. MR 336119
144.: L. Pastur, On the Schrödinger equation with a random potential, Teoret. Mat. Fiz. 6 (1971), 415-424. (Russian) MR 473499
145.: L. Pastur, On the distribution of the eigenvalues of the Schrödinger equation with a random potential, Funkcional. Anal. i Priložen. 6 (1972), 93-94. (Russian) MR 296759
146.: L. Pastur, Spectrum of random selfadjoint operators, Uspehi. Mat. Nauk. 28 (1973), 1-64. MR 406251
147.: L. Pastur, Behavior of some Wiener integrals as t → + ∞ and the density of states of Schrödinger equation with a random potential, Teoret. Mat. Fiz. 32 (1977), 88-95. (Russian) MR 449356
148.: L. Pastur, Spectral properties of disordered systems in one-body approximation, Comm. Math. Phys. 75 (1980), 179. MR 582507
149.: D. Pearson, Singular measures in scattering theory, Comm. Math. Phys. 60 (1978), 13. MR 484145
150.: M. Perelmuter, Perturbation of operators with integral resolvent, Funkcional. Anal. i Priložen 14 (1980), 75. (Russian) MR 575221
151.: P. Perry, I. Sigal and B. Simon, Spectral analysis of multiparticle Schrödinger operators, Ann. of Math. (2) 114 (1981), 519-567. MR 634428
152.: A. Persson, Bounds for the discrete part of the spectrum of a semibounded Schrödinger operator, Math. Scand. 8 (1960), 143-153. MR 133586
153.: J. Piepenbrink, Nonoscillatory elliptic equations, J. Differential Equations 15 (1974), 541-550. MR 342829
154.: J. Piepenbrink, A conjecture of Glazman, J.Differential Equations 24 (1977), 173-177. MR 454400
155.: S. Port and C. Stone, Brownian motion and classical potential theory, Academic Press, New York, 1978. MR 492329
156.: N. Portenko, Diffusion processes with unbounded drift coefficient, Theory Probab. Appl. 20 (1976), 27-37. MR 375483
157.: A. Povzner, On the expansion of arbitrary functions in terms of the eigenfunctions of the operator-Δu + cu, Mat. Sb. (N.S.) 32 (1953), 109-156. (Russian) MR 53330
158.: A. Povzner, On eigenfunction expansions in terms of scattering solutions, Dokl. Akad. Nauk SSSR 104 (1955). MR 78506
159.: J. Rauch, private communication.
160.: M. Reed and B. Simon, Methods of modern mathematical physics. I. Functional analysis, Academic Press, New York, 1972. MR 751959
161.: M. Reed and B. Simon, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness, Academic Press, New York, 1975. MR 751959
162.: M. Reed and B. Simon, Methods of modern mathematical physics. IV. Analysis of operators, Academic Press, New York, 1978. MR 751959
163.: J. Rosen, Sobolev inequalities for weighted spaces and supercontractive estimates, Trans. Amer. Math. Soc. 222 (1976), 367-376. MR 425601
164.: O. Rothhaus, Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality, Duke Math. J. 45 (1978), 351-362. MR 481241
165.: O. Rothhaus, Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators, J. Funct. Anal. 39 (1980), 42-56. MR 593787
166.: O. Rothhaus, Diffusion on compact Riemann manifolds and logarithmic Sobolev inequalities, J. Funct. Anal. 42 (1981), 102-109. MR 620581
167.: O. Rothhaus, Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators, J. Funct. Anal. 42 (1981), 110-120. MR 620582
168.: Y. Saito, Eigenfunctions for the Schrödinger operators with long range potentials Q(y) = O(|y|^-ε (ε > 0), Osaka J. Math. 14 (1977), 11-35.
169.: J. Saut and B. Scheurer, Un théorème de prolongement unique pour des opérateurs elliptiques dont les coefficients ne sont pas localement bornés, C. R. Acad. Sci. Paris Sér. A 290 (1980), 598-599. MR 572644
170.: M. Schechter, Hamiltonians for singular potentials, Indian Math. J. 22 (1972), 483-503. MR 305150
171.: M. Schechter, Essential self-adjointness of the Schrödinger operator with magnetic vector potential, J. Funct. Anal. 20 (1975), 93-104. MR 510055
172.: M. Schechter, Spectra of partial differential operators, North-Holland, Amsterdam, 1971. MR 869254
173.: M. Schechter and B. Simon, Unique continuation for Schrödinger operators with unbounded potential, J. Math. Anal. Appl. 77 (1980), 482-492. MR 593229
174.: I. Sch'nol, On the behavior of the Schrödinger equation, Mat. Sb. 42 (1957), 273-286. (Russian)
175.: I. Segal, Construction of nonlinear local quantum processes. I, Ann. of Math. (2) 92 (1970), 462-481. MR 272306
176.: I. Segal, Construction of nonlinear local quantum processes. II, Invent. Math. 14 (1971), 211-241. MR 295695
177.: I. Sigal, Geometricparametrices in the QM N-body problem, Duke Math. J. (to appear).
178.: B. Simon, Essential self-adjointness of Schrödinger operators with positive potentials, Math. Ann. 201 (1973), 211-220. MR 337215
179.: B. Simon, Schrödinger operators with singular magnetic vector potentials, Math. Z. 131 (1973), 361-370. MR 322336
180.: B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. I, Proc. Amer. Math. Soc. 42 (1974), 395-401. MR 417596
181.: B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. II, Proc. Amer. Math. Soc. 45 (1974), 454-456. MR 417596
182.: B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. III, Trans. Amer. Math. Soc. 208 (1975), 317-329. MR 417597
183.: B. Simon, A remark on Nelson's best hypercontractive estimates, Proc. Amer. Math. Soc. 55 (1976), 376-378. MR 400995
184.: B. Simon, An abstract Kato's inequality for generators of positivity preserving semigroups, Indian Math. J. 26 (1977), 1067-1073. MR 461209
185.: B. Simon, Kato's inequality and the comparison of semigroups, J. Funct. Anal. 32 (1979), 97-101. MR 533221
186.: B. Simon, Phase space analysis of simple scattering systems. Extensions of some work of Enss, Duke Math. J. 46 (1979), 119-168. MR 523604
187.: B. Simon, Maximal and minimal Schrödinger forms, J. Operator Theory 1 (1979), 37-47. MR 526289
188.: B. Simon, The classical limit of quantum partition functions, Comm. Math. Phys. 71 (1980), 247-276. MR 565281
189.: B. Simon, Brownian motion, L, J. Funct. Anal. 35 (1980), 215-229. MR 561987
190.: B. Simon, Spectrum and continuum eigenfunctions of Schrödinger operators, J. Funct. Anal. 42 (1981), 66-83. MR 626449
191.: B. Simon, Large time behavior of the L, J. Funct. Anal. 40 (1981), 66-83. MR 607592
192.: B. Simon, Almost periodic Schrödinger operators: A review, Adv. Appl. Math, (to appear). MR 682631
193.: B. Simon, The P(ф)₂ Euclidean (quantum) field theory, Princeton Univ. Press, Princeton, N.J., 1974. MR 489552
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