Results 1 to 10 of about 560 (182)
Riesz basis property of Timoshenko beams with boundary feedback control [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of
De-Xing Feng +2 more
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On various Riesz-dual sequences for Schauder frames [PDF]
Heliyon, 2020 In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
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Riesz basis for strongly continuous groups
Journal of Differential Equations, 2010 17 ...
Hans Zwart
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The expansion of a semigroup and a Riesz basis criterion
Journal of Differential Equations, 2005 Let \(\mathcal{A}\) be the generator for a strongly continuous semigroup \(T(t)\) on a Hilbert space \(X\). Suppose that the singular set for \(\mathcal{A}\) can be split into two parts \(\sigma(\mathcal{A})=\sigma_1(\mathcal{A})\cup\sigma_2(\mathcal{A})\), where \(\sigma_2(\mathcal{A})\) consists all isolated eigenvalues. Under the assumption that the
Gen Qi Xu
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$K$-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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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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Probabilistic logics based on Riesz spaces [PDF]
Logical Methods in Computer Science, 2020 We introduce a novel real-valued endogenous logic for expressing properties of probabilistic transition systems called Riesz modal logic. The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature ...
Robert Furber, Radu Mardare, Matteo Mio
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Finite element implementation of general triangular mesh for Riesz derivative
Partial Differential Equations in Applied Mathematics, 2021 In this work, we will study a calculation method of variation formula with Riesz fractional derivative. As far as we know, Riesz derivative is a non-local operator including 2ndirections in n−dimension space, which the difficulties for computation of ...
Daopeng Yin, Liquan Mei
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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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