Results 31 to 40 of about 1,296 (214)
Comment on “Continuous g-Frame in Hilbert -Modules”
Abstract and Applied Analysis, 2013 The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that
Zhong-Qi Xiang
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Adaptive Riesz Basis Decomposition For Image Search
, 2009 Publication in the conference proceedings of EUSIPCO, Glasgow, Scotland ...
Capodiferro L +4 more
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Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations
SIAM Journal on Mathematical Analysis, 1998 Aldroubi has shown how one can construct any frame $\gtu$ starting with one frame $\ftu $,using a bounded operator $U$ on $l^2(N)$. We study the overcompleteness of the frames in terms of properties of $U$. We also discuss perturbation of frames in the sense that two frames are ``close'' if a certain operator is compact.
Casazza, Peter G., Christensen, Ole
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Journal of Applied Mathematics, 2013 We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert -modules, and then we study the equivalency relations between continuous g-frames in Hilbert -modules, and, in particular, we obtain ...
Zhong-Qi Xiang
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Karpatsʹkì Matematičnì Publìkacìï, 2018 In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij +3 more
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Hierarchical Riesz bases for Hs(Omega), 1 < s < 5/2
, 2005 On arbitrary polygonal domains $Omega subset RR^2$, we construct $C^1$ hierarchical Riesz bases for Sobolev spaces $H^s(Omega)$. In contrast to an earlier construction by Dahmen, Oswald, and Shi (1994), our bases will be of Lagrange instead of Hermite ...
Davydov, Oleg, Stevenson, Rob
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, 2021 In this paper, we study Riesz basis property and stability for a nonuniform thermoelastic system with Dirichlet-Dirichlet boundary condition, where the heat subsystem is considered as a control to the whole coupled system. By means of the matrix operator
Han-Jing Ren, Bao-Zhu Guo
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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A multivariate Riesz basis of ReLU neural networks
Applied and Computational Harmonic AnalysisWe consider the trigonometric-like system of piecewise linear functions introduced recently by Daubechies, DeVore, Foucart, Hanin, and Petrova. We provide an alternative proof that this system forms a Riesz basis of $L_2([0,1])$ based on the Gershgorin theorem. We also generalize this system to higher dimensions $d>1$ by a construction, which avoids
Cornelia Schneider, Jan Vybíral
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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