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The Monge problem in Wiener Space [PDF]
Calculus of Variations and Partial Differential Equations, 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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Wiener–Luxemburg amalgam spaces [PDF]
Journal of Functional Analysis, 2022 In this paper we introduce the concept of Wiener-Luxemburg amalgam spaces which are a modification of the more classical Wiener amalgam spaces intended to address some of the shortcomings the latter face in the context of rearrangement-invariant Banach function spaces.
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Stochastic Wiener filter in the white noise space [PDF]
Opuscula Mathematica, 2020 In this paper we introduce a new approach to the study of filtering theory by allowing the system's parameters to have a random character. We use Hida's white noise space theory to give an alternative characterization and a proper generalization to the ...
Daniel Alpay, Ariel Pinhas
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Integrability on the Abstract Wiener Space of Double Sequences and Fernique Theorem
Journal of Function Spaces, 2021 The integrability of a function defined on the abstract Wiener space of double Fourier coefficients is explored. The abstract Wiener space is also a Hilbert space.
Jeong-Gyoo Kim
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Cold Welding in Hold Down Points of Space Mechanisms Due to Fretting When Omitting Grease
Lubricants, 2021 Cold welding refers to an effect related to space (vacuum). The heavy vibrations during a launch subject interfaces (hold down points) to oscillating motions which may lead to formation of a kind of “friction weld”. If so, these mechanisms may get stuck,
Andreas Merstallinger +2 more
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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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Phase-space quantum Wiener–Khintchine theorem
Optics Letters, 2022 We derive a quantum version of the classical-optics Wiener–Khintchine theorem within the framework of detection of phase-space displacements with a suitably designed quantum ruler. A phase-space-based quantum mutual coherence function is introduced that includes the contribution of the detector.
Ainara Álvarez-Marcos, Alfredo Luis
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Mathematics, 2021 Segal introduce the Fourier–Wiener transform for the class of polynomial cylinder functions on Hilbert space, and Hida then develop this concept. Negrin define the extended Wiener transform with Hayker et al. In recent papers, Hayker et al. establish the
Hyun Soo Chung
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Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulak, Öznur, Gürkanlı, Ahmet Turan
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Complexity, 2020 We investigate the behavior of the unbounded cylinder function Fx=∫0Tα1tdxt2k⋅∫0Tα2tdxt2k⋅⋯⋅∫0Tαntdxt2k, k=1,2,… whose analytic Wiener integral and analytic Feynman integral exist, we prove some relationships among the analytic Wiener integral, the ...
Kim Young Sik
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