Stochastic integrals and parabolic equations in abstract Wiener space
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- by Hui-Hsiung Kuo and M. Ann Piech PDF
- Bull. Amer. Math. Soc. 79 (1973), 478-482
References
- Leonard Gross, Abstract Wiener spaces, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Univ. California Press, Berkeley, Calif., 1967, pp. 31–42. MR 0212152
- Hui Hsiung Kuo, Stochastic integrals in abstract Wiener space, Pacific J. Math. 41 (1972), 469–483. MR 306435, DOI 10.2140/pjm.1972.41.469
- M. Ann Piech, A fundamental solution of the parabolic equation on Hilbert space, J. Functional Analysis 3 (1969), 85–114. MR 0251588, DOI 10.1016/0022-1236(69)90053-6
- M. Ann Piech, A fundamental solution of the parabolic equation on Hilbert space. II. The semigroup property, Trans. Amer. Math. Soc. 150 (1970), 257–286. MR 278116, DOI 10.1090/S0002-9947-1970-0278116-8
- M. Ann Piech, Diffusion semigroups on abstract Wiener space, Trans. Amer. Math. Soc. 166 (1972), 411–430. MR 295141, DOI 10.1090/S0002-9947-1972-0295141-3
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 478-482
- MSC (1970): Primary 28A40, 60H05, 35K15
- DOI: https://doi.org/10.1090/S0002-9904-1973-13227-6
- MathSciNet review: 0341606