Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia