Results 161 to 170 of about 164,359 (189)

Universal Wiener Space

1993
In the 1950’s Irving Segal developed for the needs of Quantum Field Theory, an abstract theory of integration on an abstract Hilbert space. In the 1960’s Leonard Gross has built the theory of gaussian borelian measures on an arbitrary Banach space. Looking for the greatest generality combined with the easiest approach, we shall follow an approach close
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A Nonlinear Deformation of Wiener Space

Journal of Theoretical Probability, 1998
The author considers a nonlinear deformation of Wiener spaces which is obtained by using Poincaré's disc and Bergman's measure instead of \(C\) and the standard measure \(k\exp(-|z|^2)\). The question is: what for? It would be nice if the author outlined a practical example where his theory would be of some use.
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Fourier analysis on wiener measure space

Journal of the Franklin Institute, 1968
Abstract The problem of representation of nonlinear systems on abstract spaces by a complete set of orthogonal functions defined on the same space was partly solved by Wiener, et al. (1–4) for nonlinear time invariant systems on the Wiener measure space (ΣI, BI, μ).
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Approximative limits on the Wiener space

2002
Let \((W,H,\mathbb{P})\) be the Wiener space over \(\mathbb{R}^d\). L. Gross defined a semi-norm \(N\) on \(H\) as measurable when there exists a finite random variable \(\widetilde N\) such that \(N(Q_n(w))\) goes to \(\widetilde N(w)\) in probability, for any sequence \(Q_n\) of finite rank projection operators in \(H\) which strongly increases to ...
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Fractional order Sobolev spaces on Wiener space

Probability Theory and Related Fields, 1993
Fractional order Sobolev spaces are introduced on an abstract Wiener space and Donsker's delta functions are defined as generalized Wiener functionals belonging to Sobolev spaces with negative differentiability indices. By using these notions, the regularity in the sense of Hölder continuity of a class of conditional expectations is obtained.
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Wiener Space

2022
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INFWIDE: Image and Feature Space Wiener Deconvolution Network for Non-Blind Image Deblurring in Low-Light Conditions

IEEE Transactions on Image Processing, 2023
Zhihong Zhang, Jinli, Liheng Bian
exaly  

DWDN: Deep Wiener Deconvolution Network for Non-Blind Image Deblurring

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2022
Jiangxin Dong, Stefan Roth, Bernt Schiele   +2 more
exaly  

Offset-free state-space nonlinear predictive control for Wiener systems

Information Sciences, 2020
Maciej Ławryńczuk, Piotr Tatjewski
exaly  

Products of Wiener Functionals on an Abstract Wiener Space

1988
Mikusinski in [1] has proved that the product of the distributions δ (x) and pf. \(\frac{1} {{\text{x}}}\) on the one-dimensional Euclidean space ℝ exists in the sense of generalized operations and equals \(- \frac{1} {{\text{2}}}\delta \prime \left( {\text{x}} \right)\).
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