Wiener integral representations for certain semigroups which have infinitesimal generators with matrix coefficients
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- by Donald G. Babbitt PDF
- Bull. Amer. Math. Soc. 73 (1967), 394-397
References
- Donald Babbitt, The Wiener integral and the Schrödinger operator, Trans. Amer. Math. Soc. 116 (1965), 66-78; correction, ibid. 121 (1966), 549–552. MR 0186926, DOI 10.1090/S0002-9947-1965-0186926-9
- John A. Beekman, Gaussian processes and generalized Schroedinger equations, J. Math. Mech. 14 (1965), 789–806. MR 0179841
- R. H. Cameron, The generalized heat flow equation and a corresponding Poisson formula, Ann. of Math. (2) 59 (1954), 434–462. MR 61261, DOI 10.2307/1969711 4. Yu. L. Daleckii, Continual integrals associated with certain differential equations and systems, Soviet Math. Dokl. 2 (1961), 259-263.
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162 6. E. B. Dynkin, Markov processes, Vol. 1, Academic Press, New York, 1965.
- Jacob Feldman, On the Schrödinger and heat equations for nonnegative potentials, Trans. Amer. Math. Soc. 108 (1963), 251–264. MR 160264, DOI 10.1090/S0002-9947-1963-0160264-0
- R. K. Getoor, Additive functionals of a Markov process, Pacific J. Math. 7 (1957), 1577–1591. MR 94850, DOI 10.2140/pjm.1957.7.1577 9. J. Ginibre, Reduced density matrices of quantum gases. I, II, and III, J. Math. Phys. 6. (1965), 238-251, 252-262, 1432-1446.
- M. Kac, On some connections between probability theory and differential and integral equations, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley-Los Angeles, Calif., 1951, pp. 189–215. MR 0045333
- Daniel Ray, On spectra of second-order differential operators, Trans. Amer. Math. Soc. 77 (1954), 299–321. MR 66539, DOI 10.1090/S0002-9947-1954-0066539-2
Additional Information
- Journal: Bull. Amer. Math. Soc. 73 (1967), 394-397
- DOI: https://doi.org/10.1090/S0002-9904-1967-11767-1
- MathSciNet review: 0209901