Results 11 to 20 of about 8,384 (123)
Inventiones mathematicae, 2014 We show that any finite union of intervals supports a Riesz basis of ...
Kozma, Gady, Nitzan, Shahaf
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K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module
Proyecciones (Antofagasta), 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. Also We give some properties and characterization of K-g-Riesz bases by a bounded surjective operator and g-orthonormal ...
El Amrani, Abdelkhalek +2 more
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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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Hamiltonians defined by biorthogonal sets [PDF]
, 2017 In some recent papers, the studies on biorthogonal Riesz bases has found a renewed motivation because of their connection with pseudo-hermitian Quantum Mechanics, which deals with physical systems described by Hamiltonians which are not self-adjoint but ...
Bagarello, Fabio, Bellomonte, Giorgia
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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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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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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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Modular Riesz bases versus Riesz bases in Hilbert C∗-modules [PDF]
Asian-European Journal of Mathematics, 2019 In this paper, we give new characterizations of modular Riesz bases in Hilbert [Formula: see text]-modules. We prove that modular Riesz bases share many properties with Riesz bases in Hilbert spaces. Moreover, we show that there are also important differences; for example, there exist exact frames that are not modular Riesz bases.
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The Balian-Low theorem and noncommutative tori [PDF]
, 2018 We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor-Riesz bases and a constant curvature connection on projective modules over noncommutative tori.Comment: 7 pages, to appear in Expositiones ...
Luef, Franz
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