Results 21 to 30 of about 96,747 (290)
Towards a theory of functions in abstract Wiener spaces
Physica D: Nonlinear Phenomena, 2009 The basic results on the theory of functions of bounded variation in an abstract Wiener space are discussed. First of all, the tools of the corresponding finite dimensional theory are carefully examined in order to find those results which are still helpful in infinite dimensional setting.
Luigi Ambrosio +3 more
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Abstract Wiener spaces and applications to analysis [PDF]
Pacific Journal of Mathematics, 1969 James Kuelbs
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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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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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Some remarks about the positivity of random variables on a Gaussian probability space [PDF]
, 2004 Let $(W,H,\mu)$ be an abstract Wiener space and $L$ be a probability density of class LlogL. Using the measure transportation of Monge-Kantorovitch, we prove that the kernel of the projection of L on the second Wiener chaos defines an (Hilbert-Schmidt ...
Feyel, D., Ustunel, A. S.
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The Monge problem in Wiener Space [PDF]
, 2011 We address the Monge problem in the abstract Wiener space and we give an existence result provided both marginal measures are absolutely continuous with respect to the infinite dimensional Gaussian measure {\gamma}
D. Feyel +11 more
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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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A fractional Brownian field indexed by $L^2$ and a varying Hurst parameter [PDF]
, 2014 Using structures of Abstract Wiener Spaces, we define a fractional Brownian field indexed by a product space $(0,1/2] \times L^2(T,m)$, $(T,m)$ a separable measure space, where the first coordinate corresponds to the Hurst parameter of fractional ...
Richard, Alexandre
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