Results 11 to 20 of about 501,007 (273)
Fourier-Feynman transforms of unbounded functionals on abstract Wiener space
Open Mathematics, 2010 Kim Byoung, Yoo Il, Cho Dong
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An integral transform via the bounded linear operators on abstract wiener space
Filomat, 2023 In this paper, we obtain some results of a more rigorous mathematical structure that can guarantee the orthogonality of an orthogonal set even when results and formula on abstract Wiener integrals or some transforms using bounded linear operators.
H. 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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A Note on Function Spaces with Fractional Fourier Transforms in Wiener-type Spaces
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2023 The purpose of this paper is to introduce and study a function space A_(α,w)^(B,Y) (R^d ) to be a linear space of functions h∈L_w^1 (R^d ) whose fractional Fourier transforms F_α h belong to the Wiener-type space W(B,Y)(R^d ), where w is a Beurling ...
Erdem Toksoy
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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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Symmetry, 2020 We shall prove the existence of the Wiener integral and the analytic Wiener and Feynman integral and we obtain those relationships and later, we prove the change of scale formula for the Wiener integral about the first variation of a function defined on ...
Kim Young Sik
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Journal of Inequalities and Applications, 2021 Sampling and reconstruction of signals in a shift-invariant space are generally studied under the requirement that the generator is in a stronger Wiener amalgam space, and the error estimates are usually given in the sense of L p , 1 / ω $L_{p,{1 ...
Haizhen Li, Xiao Fan, Yan Tang
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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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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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Diffusion Semigroups on Abstract Wiener Space [PDF]
Transactions of the American Mathematical Society, 1972 The existence of a semigroup of solution operators associated with a second order infinite dimensional parabolic equation of the form ∂ u / ∂ t = L x u \partial u/\partial t = {L_x}u was previously established by the ...
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