Gaussian processes and Hammerstein integral equations
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- by Martin Pincus
- Trans. Amer. Math. Soc. 134 (1968), 193-214
- DOI: https://doi.org/10.1090/S0002-9947-1968-0231439-1
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References
- M. Schilder, A Laplace asymptotic formula for Wiener integrals, Thesis, New York University, 1965.
- F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665
- S. G. Mikhlin, The problem of the minimum of a quadratic functional, Holden-Day Series in Mathematical Physics, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1965. Translated by A. Feinstein. MR 0171196 N. Dunford and J. T. Schwartz, Linear operators, Part 1, Interscience, New York, 1958. D. E. Varberg, Some Radon-Nikodym derivatives associated with stochastic processes, Thesis, University of Minnesota, 1959. E. E. Slutsky, Qualche proposizione relativa alla teoria delle funzioni aleatorie, Giorn. 1st. Ital. Attuari 8 (1937), 183-199.
- Z. Ciesielski, Hölder conditions for realizations of Gaussian processes, Trans. Amer. Math. Soc. 99 (1961), 403–413. MR 132591, DOI 10.1090/S0002-9947-1961-0132591-2
- Yu. V. Prokhorov, Convergence of random processes and limit theorems in probability theory, Teor. Veroyatnost. i Primenen. 1 (1956), 177–238 (Russian, with English summary). MR 0084896
- 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
- Arnold J. Tingley, On a generalization of the Poisson formula for the solution of the heat flow equation, Proc. Amer. Math. Soc. 7 (1956), 846–851. MR 86248, DOI 10.1090/S0002-9939-1956-0086248-0 M. Kac, Probability and related topics in the natural sciences, Interscience, New York, 1957. M. Pincus, Gaussian processes and Hammerstein integral equations, Thesis, New York University, 1965.
- Robert H. Cameron, The first variation of an indefinite Wiener integral, Proc. Amer. Math. Soc. 2 (1951), 914–924. MR 45937, DOI 10.1090/S0002-9939-1951-0045937-X M.Pincus, The translation and related theorems for Gaussian processes, Proc. Amer. Math. Soc. (to appear).
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 134 (1968), 193-214
- MSC: Primary 60.40; Secondary 45.00
- DOI: https://doi.org/10.1090/S0002-9947-1968-0231439-1
- MathSciNet review: 0231439