Results 1 to 10 of about 21,084 (200)
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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Generalized Riesz basis property in the analysis of neutral type systems [PDF]
Comptes Rendus. Mathématique, 2003 International audienceThe functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M2 = Cn × L2(−1, 0;Cn) and prove that there exists a sequence of invariant finite-dimensional subspaces ...
Rabah, Rabah +2 more
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Riesz basis of Coifman and Meyer's local sine and cosine type [PDF]
Journal of Mathematical Analysis and Applications, 2000 A Riesz basis is the image of an orthonormal basis under an invertible continuous linear mapping. In many interesting applications, perturbing an orthonormal basis in a controlled manner yields a Riesz basis.
Chung, Min
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Riesz basis property of Hill operators with potentials in weighted spaces [PDF]
Transactions of the Moscow Mathematical Society, 2014 Consider the Hill operator $L(v) = - d^2/dx^2 + v(x) $ on $[0,\pi]$ with Dirichlet, periodic or antiperiodic boundary conditions; then for large enough $n$ close to $n^2 $ there are one Dirichlet eigenvalue $\mu_n$ and two periodic (if $n$ is even) or ...
Djakov, Plamen, Mityagin, Boris
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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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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.
Rekatsinas, N., Stevenson, R.
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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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