Results 11 to 20 of about 21,050 (203)
Generalized Riesz basis property in the analysis of neutral type systems [PDF]
Comptes Rendus. Mathématique, 2003 The functional differential equation of neutral type is studied. We consider the corresponding operator model in Hilbert space M 2 =C n ×L 2 (-1,0;C n ) and prove that there exists a sequence of invariant finite-dimensional subspaces which constitute a Riesz basis in M2. We also give an example emphasizing that the generalized eigenspaces do not form a
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, 2003 The author finds a Riesz basis for \(L^2(\mathbb{R})\) of the form \(\{b_{I_k}(x) \sin \lambda_k x\}\), with \(b_{I_k}(x)\) Bell functions, by perturbing the local sine and cosine orthonormal bases of Coifman and Meyer.
Chung, Min
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The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions [PDF]
, 2013 We consider a regular indefinite Sturm-Liouville eigenvalue problem \{$-f" + q f = \lambda r f$} on $[a,b]$ subject to general self-adjoint boundary conditions and with a weight function $r$ which changes its sign at finitely many, so-called turning ...
Fleige, Andreas +2 more
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Binary Operations in Metric Spaces Satisfying Side Inequalities
Mathematics, 2021 The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués +2 more
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Delone sets and Riesz basis [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1998 A standard technique of obtaining a Riesz basis for a Hilbert space is by considering exponential maps over a periodic set. The author obtains analogues of the well-known Kadec's 1/4-theorem by replacing the periodic set with a sufficiently close Delone set and constructs Riesz bases for the Hilbert spaces \(L^2 (W_A(0))\) and \(H^1 [-\pi,\pi]\) (where
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Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70â80) and (Math. Model. Anal., 2010, 15, 103â112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
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Binary basic splines in MRA [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 $B$-splines were introduced by Carry and Schoenberg. Constructed on a uniform mesh and defined in terms of convolutions, such splines generate a Riesz MRA.
Chumachenko, Sergei A.
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An overview of the null-field method. II: Convergence and numerical stability
Physics Open, 2020 In this paper we provide an analysis of the convergence and numerical stability of the null-field method with discrete sources. We show that (i) if the null-field scheme is numerically stable then we can decide whether or not convergence can be achieved;
Adrian Doicu, Michael I. Mishchenko
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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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Decomposition of A Fuzzy Function By One-Dimensional Fuzzy Multiresolution Analysis
Journal of Computing Research and Innovation, 2023 Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme.
Jean-louis Akakatshi Ossako +3 more
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