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Wiener integral representations for certain semigroups which have infinitesimal generators with matrix coefficients
Author(s):
Donald G.
Babbitt
Journal:
Bull. Amer. Math. Soc.
73
(1967),
394-397.
MathSciNet review:
0209901
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- D. Babbitt, The Wiener integral and the Schrödinger operator, Trans. Amer. Math. Soc. 116 (1965), 66-78. See also Correction to the Wiener integral and the Schrödinger operator, ibid., 121 (1966), 549-552. MR 186926
- 2.
- J. A. Beekman, Gaussian processes and generalized Schrödinger equations, J. Math. Mech. 14 (1965), 789-806. MR 179841
- 3.
- R. H. Cameron, The generalized heat equation and a corresponding Poisson formula, Ann. of Math. 50 (1954), 434-462. MR 61261
- 4.
- Yu. L. Daleckii, Continual integrals associated with certain differential equations and systems, Soviet Math. Dokl. 2 (1961), 259-263.
- 5.
- N. Dunford and J. Schwartz, Linear operators, Part I, Wiley and Interscience, New York, 1958. MR 1009162
- 6.
- E. B. Dynkin, Markov processes, Vol. 1, Academic Press, New York, 1965.
- 7.
- J. Feldman, On the Schrödinger and heat equations with non-negative potentials, Trans. Amer. Math. Soc. 108 (1963), 251-264. MR 160264
- 8.
- R. K. Getoor, Additive functionals of a Markov process, Pacific J. Math. 7 (1957), 1577-1591. MR 94850
- 9.
- J. Ginibre, Reduced density matrices of quantum gases. I, II, and III, J. Math. Phys. 6. (1965), 238-251, 252-262, 1432-1446.
- 10.
- M. Kac, On some connections between probability theory and differential and integral equations, Proc. Second Sympos. on Mathematical Statistics and Probability, pp. 184-215, Univ. of Calif. Press, Berkeley, Calif., 1951. MR 45333
- 11.
- D. Ray, On the spectra of second order differential operators, Trans. Amer. Math. Soc. 77 (1954), 299-321. MR 66539
Additional Information:
DOI:
10.1090/S0002-9904-1967-11767-1
PII:
S 0002-9904(1967)11767-1
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