Results 21 to 30 of about 1,296 (214)
ON COMPLETE RIESZ–FISCHER SEQUENCES IN A HILBERT SPACE
Проблемы анализаWe prove that if {𝑓_𝑛}^\infty_{n=1} is a complete Riesz–Fischer sequence in a separable Hilbert space 𝐻, then 𝑇 :={𝑓 \in 𝐻 : \Sum ...
Elias Zikkos
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A set with no Riesz basis of exponentials
Revista Matemática Iberoamericana, 2023 We show that there exists a bounded subset of \mathbb{R} such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An additional result gives a lower bound for the Riesz constant of any putative Riesz basis of the
Gady Kozma +2 more
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A quadratic finite element wavelet Riesz basis [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2018 In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in [Formula: see text]. The wavelets are stable in [Formula: see text] for [Formula: see text] and have two vanishing moments. Each wavelet is a linear combination of 11 or 13 nodal basis functions.
Nikolaos Rekatsinas, Rob Stevenson 0001
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A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian [PDF]
SIAM Journal on Numerical Analysis, 2018 28 pages, 2 ...
Zhijiang Zhang +2 more
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Delone sets and Riesz basis [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1998 A standard technique of obtaining a Riesz basis for a Hilbert space is by considering exponential maps over a periodic set. The author obtains analogues of the well-known Kadec's 1/4-theorem by replacing the periodic set with a sufficiently close Delone set and constructs Riesz bases for the Hilbert spaces \(L^2 (W_A(0))\) and \(H^1 [-\pi,\pi]\) (where
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Decomposition of A Fuzzy Function By One-Dimensional Fuzzy Multiresolution Analysis
Journal of Computing Research and Innovation, 2023 Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme.
Jean-louis Akakatshi Ossako +3 more
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An overview of the null-field method. II: Convergence and numerical stability
Physics Open, 2020 In this paper we provide an analysis of the convergence and numerical stability of the null-field method with discrete sources. We show that (i) if the null-field scheme is numerically stable then we can decide whether or not convergence can be achieved;
Adrian Doicu, Michael I. Mishchenko
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Analyticity and Riesz basis property of semigroups associated to damped vibrations [PDF]
, 2007 Second order equations of the form z(t)+A0z(t)+D z(t)=0 are considered. Such equations are often used as a model for transverse motions of thin beams in the presence of damping.
Trunk, Carsten +2 more
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K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module
, 2023 This paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C∗-modules H.
Rossafi, Mohamed +2 more
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Some New Notions of Bases for the Range of Operators in Hilbert Spaces [PDF]
Sahand Communications in Mathematical AnalysisThis paper is devoted to introduce a new concept of bases for the range of the operator $K$. Actually, we consider controlled $K$-orthonormal and controlled $K$-Riesz bases which are a generalization of ordinary bases in Hilbert spaces. In the sequel, we
Hessam Hosseinnezhad
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