Results 11 to 20 of about 96,747 (290)
ITÔ–WIENER CHAOS AND THE HODGE DECOMPOSITION ON AN ABSTRACT WIENER SPACE [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013 Using the structure of the Boson-Fermion Fock space and an argument taken from [P. Bieliavsky, M. Cahen, S. Gutt, J. Rawnsley and L. Schwachhofer, Symplectic connections, Int. J. Geom. Meth. Mod. Phys.3 (2006) 375–420], we give a new proof of the triviality of the L2 cohomology groups on an abstract Wiener space, alternative to that given by Shigekawa
Yuxin Yang
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Complex Abstract Wiener Spaces [PDF]
19 ...
Tess J. van Leeuwen, Wioletta M. Ruszel
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Prohorov-Type Local Limit Theorems on Abstract Wiener Spaces [PDF]
Mediterranean Journal of Mathematics, 2018 19 ...
Alberto Lanconelli
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Scale-invariant measurability in abstract Wiener spaces [PDF]
Pacific Journal of Mathematics, 1987 We first prove a limit theorem for a sequence of quadratic functionals on an abstract Wiener space which generalizes a Cameron-Martin limit theorem in the Wiener space, and next we prove a version of a converse measurability theorem for the Wiener space in the setting of abstract Wiener spaces.
Dong Myung Chung
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Conditional Analytic Feynman Integrals on Abstract Wiener Spaces [PDF]
Proceedings of the American Mathematical Society, 1991 In this paper we define the concept of a conditional analytic Feynman integral of a function F F on an abstract Wiener space B B given a function X X and then establish the existence of the conditional Feynman integral for all functions in the Fresnel class on B B .
Dong Myung Chung
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BV functions in abstract Wiener spaces
Journal of Functional Analysis, 2010 In this paper, BV functions in infinite-dimensional Banach space endowed with a Gaussian measure and related differential structure are analyzed.
AMBROSIO, Luigi +3 more
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An Analytic Version of Wiener-Itô Decomposition on Abstract Wiener Spaces
Taiwanese Journal of Mathematics, 2018 In this paper, we first establish an analogue of Wiener-Itô theorem on finite-dimensional Gaussian spaces through the inverse $S$-transform, that is, the Gauss transform on Segal-Bargmann spaces. Based on this point of view, on infinite-dimensional abstract Wiener space $(H,B)$, we apply the analyticity of the $S$-transform, which is an isometry from ...
Yuh-Jia Lee, Hsin-Hung Shih
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CHANGE OF SCALE FORMULAS FOR WIENER INTEGRAL OVER PATHS IN ABSTRACT WIENER SPACE [PDF]
Communications of the Korean Mathematical Society, 2006 Summary: Wiener measure and Wiener measurability behave bad-ly under the change of scale transformation. We express the analytic Feynman integral over \(C_0(B)\) as a limit of Wiener integrals over \(C_0(B)\) and establish change of scale formulas for Wiener integrals over \(C_0(B)\) for some functionals.
Byoungsoo Kim, Tae-Soo KIM
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Exterior product bundle over complex abstract Wiener space [PDF]
, 1992 Nishimura, Takashi +1 more
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Abstract Wiener space, revisited
Communications on Stochastic Analysis, 2008 Daniel W. Stroock
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