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A change of scale formula for Wiener integrals on abstract Wiener spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we obtain a change of scale formula for Wiener integrals on abstract Wiener spaces. This formula is shown to hold for many classes of functions of interest in Feynman integration theory and quantum mechanics.
Il Yoo, David Skoug
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Positive generalized Wiener functions and potential theory over abstract Wiener spaces [PDF]
, 1988 In the spirit of the Malliavin's calculus, the author extends many results in the finite-dimensional potential theory, by replacing the Lebesgue measure by a Gaussian measure in a real separable Banach space. Main topics are specified below. Section 1: An introduction to the Malliavin's calculus and abstract Wiener spaces; the Wiener homogeneous chaos ...
Sugita, Hiroshi
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The Hilbert Space of Double Fourier Coefficients for an Abstract Wiener Space
Mathematics, 2021 Fourier series is a well-established subject and widely applied in various fields. However, there is much less work on double Fourier coefficients in relation to spaces of general double sequences.
Jeong-Gyoo Kim
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A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator
Axioms, 2022 In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration
Hyun Soo Chung
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The Wiener Closure Theorems for Abstract Wiener Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 We introduce Y' and Y2 translates for functions in Y'1(a) and Y2(1i) where y is a Gaussian measure on a Banach space. With these translates and the Fourier-Wiener transforms defined by Cameron and Martin we obtain Wiener's closure theorem in Y2(u) and in Y1(p).
Kuelbs, J., Mandrekar, V.
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Towards Abstract Wiener Model Spaces
, 2023 Implemented reviewer feedback, slightly changed formatting, corrected typos ...
Chiusole, Gideon, Friz, Peter K.
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Perimeter of sublevel sets in infinite dimensional spaces [PDF]
, 2011 We compare the perimeter measure with the Airault-Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter.
Airault H. +12 more
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Wiener functionals on spaces of lie álgebra valued 1-currents, and unitary representations of current groups [PDF]
, 1989 Well-known results about Brownian and Wiener functionals on abstract Wiener spaces are extended to Wiener functionals on the space of g- valued 1-currents on a manifold X, where g is the Lie algebra of a compact semisimple Lie group G.
Marion, Jean
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Österreichische Zeitschrift für Geschichtswissenschaften, 2017 : Processes of social distinction and disciplining efforts on the urban margins can be explored historically in different areas such as housing and social politics, both communal and private.
Heidi Niederkofler, Elke Rajal
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Differential equations on abstract Wiener space [PDF]
Pacific Journal of Mathematics, 1972 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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