Results 31 to 40 of about 8,503 (184)
Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals
IEEE Open Journal of Signal Processing, 2021 We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite number of linear measurements.
Thomas Debarre +2 more
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A New Approach to Continuous Riesz Bases [PDF]
Journal of Sciences, Islamic Republic of Iran, 2013 This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis.
A.A. Arefijamaal +3 more
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$G$-dual Frames in Hilbert $C^{*}$-module Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames are given.
Fatemeh Ghobadzadeh, Abbas Najati
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Riesz-Like Bases in Rigged Hilbert Spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2016 The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space \mathcal D[t] \subset \mathcal H \subset \mathcal D^\times[t^\times] .
Bellomonte, G., Trapani, C.
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New Characterizations of Riesz Bases
Applied and Computational Harmonic Analysis, 1997 Using the projection method for frames [\textit{O. Christensen}, Appl. Comput. Harmon. Anal. 1, No. 1, 50-53 (1993; Zbl 0849.42025)] this paper gives two equivalent conditions for a frame to be a Riesz basis in a separable Hilbert space. These conditions emerge from taking the limit in a sequence of nested finite dimensional subspaces.
Kim, Hong Oh, Lim, Jae Kun
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Inverse Problem for a Fourth-Order Hyperbolic Equation with a Complex-Valued Coefficient
Mathematics, 2023 This paper studies the existence and uniqueness of the classical solution of inverse problems for a fourth-order hyperbolic equation with a complex-valued coefficient with Dirichlet and Neumann boundary conditions.
Asselkhan Imanbetova +2 more
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Riesz bases and positive operators on Hilbert space
International Journal of Mathematics and Mathematical Sciences, 2003 It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product on H in which it is an orthonormal basis, thereby extending the sense ...
James R. Holub
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On R-duals and the duality principle in Gabor analysis [PDF]
, 2014 The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysis.
AJEM Janssen +13 more
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Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
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Riesz basis of Coifman and Meyer's local sine and cosine type [PDF]
, 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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