Results 1 to 10 of about 8,503 (184)
$K$-orthonormal and $K$-Riesz Bases [PDF]
Sahand Communications in Mathematical Analysis, 2021 Let $K$ be a bounded operator. $K$-frames are ordinary frames for the range $K$. These frames are a generalization of ordinary frames and are certainly different from these frames. This research introduces a new concept of bases for the range $K$.
Ahmad Ahmdi, Asghar Rahimi
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Biframes and some of their properties
Journal of Inequalities and Applications, 2022 Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of frames. In this paper, the concept of biframe is
Maryam Firouzi Parizi +2 more
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On Uncountable Frames and Riesz Bases in Nonseparable Banach Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 Some generalizations of Besselian, Hilbertian systems and frames in nonseparable Banach spaces with respect to some nonseparable Banach space $K$ of systems of scalars are considered in this work.
Migdad Ismailov
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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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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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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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Riesz bases of exponentials on multiband spectra [PDF]
, 2011 Let $S$ be the union of finitely many disjoint intervals on the real line. Suppose that there are two real numbers $\alpha, \beta$ such that the length of each interval belongs to $Z \alpha + Z \beta$.
Lev, Nir
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WEIGHTED RIESZ BASES IN G-FUSION FRAMES AND THEIR PERTURBATION
Проблемы анализа, 2020 In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames
Gh. Rahimlou, V. Sadri, R. Ahmadi
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