Results 21 to 30 of about 714 (196)
On the Riesz fusion bases in Hilbert spaces [PDF]
Journal of the Egyptian Mathematical Society, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asgari, Mohammad Sadegh
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Approximately Hadamard Matrices and Riesz Bases in Random Frames [PDF]
International Mathematics Research Notices, 2023 Abstract An $n \times n$ matrix with $\pm 1$ entries that acts on ${\mathbb {R}}^{n}$ as a scaled isometry is called Hadamard. Such matrices exist in some, but not all dimensions. Combining number-theoretic and probabilistic tools, we construct matrices with $\pm 1$ entries that act as approximate scaled isometries in ${\mathbb {R}}^{n}$
Xiaoyu Dong, Mark Rudelson
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$G$-Frames Generated by Iterated Operators [PDF]
Sahand Communications in Mathematical Analysis, 2023 Assuming that $\Lambda$ is a bounded operator on a Hilbert space $H$, this study investigate the structure of the $g$-frames generated by iterations of $\Lambda$.
Morteza Rahmani
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Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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Perturbation of frames and Riesz bases in Hilbert C∗-modules [PDF]
, 2009 We extend the Casazza–Christensen general perturbation theorem for Hilbert space frames to modular frames in Hilbert C∗-modules. In the Hilbert space setting, under the same perturbation condition, the perturbation of any Riesz basis remains to be a ...
Jing, Wu +2 more
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Hierarchical Riesz bases for Hs(Omega), 1 < s < 5/2 [PDF]
, 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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Wavelet Numerical Solutions for a Class of Elliptic Equations with Homogeneous Boundary Conditions
Mathematics, 2021 This paper focuses on a method to construct wavelet Riesz bases with homogeneous boundary condition and use them to a kind of second-order elliptic equation.
Jinru Wang, Wenhui Shi, Lin Hu
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Inventiones mathematicae, 2014 We show that any finite union of intervals supports a Riesz basis of ...
Kozma, Gady, Nitzan, Shahaf
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Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in
Mohammad Mahmoudieh +2 more
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On Weaving Generalized Frames and Generalized Riesz Bases [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 Weaving frames have potential applications in wireless sensor networks that require distributed processing of signal under different frames. In this paper, we study some new properties of weaving generalized frames (or $g$-frames) and weaving generalized orthonormal bases (or $g$-orthonormal bases).
Deepshikha, Samanta, Aniruddha
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