Results 11 to 20 of about 20,498 (195)
Copulas in Hilbert spaces [PDF]
Stochastics, 2016 In this article, the concept of copulas is generalised to infinite dimensional Hilbert spaces. We show one direction of Sklar's theorem and explain that the other direction fails in infinite dimensional Hilbert spaces. We derive a necessary and sufficient condition which allows to state this direction of Sklar's theorem in Hilbert spaces.
Hausenblas, Erika, Riedle, Markus
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Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications
Axioms, 2023 The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry +2 more
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Hilbert space of wormholes [PDF]
Physical Review D, 1993 Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner product being naturally induced by the ...
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Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is ...
Jawad Kadhim Khalaf Al-Delfi
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Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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About the Legendre type operators [PDF]
E3S Web of Conferences, 2021 The article considers Legendre type operators acting in the corresponding weight separable Hilbert spaces. The choice of these spaces is due to the fact that these operators preserve all properties of the Legendre operator acting on L2 (-1,1).
Maleko Evgeny
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New Properties of Dual Continuous K-g-Frames in Hilbert Spaces
International Journal of Mathematics and Mathematical Sciences, 2021 The concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of applications. In this paper, we study the notion of dual continuous K-g-frames in Hilbert spaces. Also, we establish some new properties.
Abdeslam Touri +2 more
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Hilbert spaces induced by Hilbert space valued functions [PDF]
Proceedings of the American Mathematical Society, 1983 Let E E be an arbitrary set and F ( E ) \mathcal {F}(E) a linear space composed of all complex valued functions on E E . Let H \mathcal {H} be a (possibly finite-dimensional) Hilbert space with inner product (
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Journal of Functional Analysis, 2003 A Banach space \(X\) is called \(\mathcal P\)-generated (where \(\mathcal P\) is a property of Banach spaces) if there is a Banach space \(Y\) with property \(\mathcal P\) and a continuous linear operator from \(Y\) into \(X\) with dense range. \textit{M. Fabian}, \textit{G. Godefroy} and \textit{V. Zizler} [Isr. J. Math.
Gilles Godefroy +3 more
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Linear algebra and differential geometry on abstract Hilbert space
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
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