Wiener integrals of multiple variations
HTML articles powered by AMS MathViewer
- by Margaret Owchar
- Proc. Amer. Math. Soc. 3 (1952), 459-470
- DOI: https://doi.org/10.1090/S0002-9939-1952-0047257-7
- PDF | Request permission
References
- Norbert Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), no. 1, 117–258. MR 1555316, DOI 10.1007/BF02546511
- 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
- R. H. Cameron and W. T. Martin, Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations, Bull. Amer. Math. Soc. 51 (1945), 73–90. MR 11401, DOI 10.1090/S0002-9904-1945-08275-5 —, The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals, Ann. of Math. vol. 48 (1948).
- R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under translations, Ann. of Math. (2) 45 (1944), 386–396. MR 10346, DOI 10.2307/1969276
- R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under a general class of linear transformations, Trans. Amer. Math. Soc. 58 (1945), 184–219. MR 13240, DOI 10.1090/S0002-9947-1945-0013240-1
- R. E. A. C. Paley, N. Wiener, and A. Zygmund, Notes on random functions, Math. Z. 37 (1933), no. 1, 647–668. MR 1545426, DOI 10.1007/BF01474606
Bibliographic Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 459-470
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0047257-7
- MathSciNet review: 0047257