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On dual molecules and convolution-dominated operators (Q2662507)

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Language	Label	Description	Also known as
English	On dual molecules and convolution-dominated operators	scientific article

Statements

scholarly article

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On dual molecules and convolution-dominated operators (English)

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José Luis Romero

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Jordy Timo van Velthoven

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Felix Voigtlaender

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Journal of Functional Analysis

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publication date

14 April 2021

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full work available at URL

https://arxiv.org/abs/2001.09609

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zbMATH Keywords

reproducing kernel Hilbert space

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molecule

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frame

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convolution-dominated operators

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MaRDI profile type

MaRDI publication profile

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Slanted matrices, Banach frames, and sampling

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Continuous frames in Hilbert space

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Density, overcompleteness, and localization of frames. I: Theory

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On a Hilbert space of analytic functions and an associated integral transform part I

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Estimates for the entries of inverse matrices and the spectral analysis of linear operators

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Localized frames and compactness

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Wavelets from Square-Integrable Representations

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Anisotropic Hardy spaces and wavelets

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Atomic and molecular decompositions of anisotropic Besov spaces

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Continuous Frames and the Kadison-Singer Problem

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Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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Frequency-scale frames and the solution of the Mexican hat problem

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Wavelets in Littlewood-Paley space, and Mexican hat completeness

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Wavelet frame bijectivity on Lebesgue and Hardy spaces

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Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces

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Square-integrable representations of non-unimodular groups

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Sampling in reproducing kernel Banach spaces on Lie groups

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Coorbits for projective representations with an application to Bergman spaces

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Examples of coorbit spaces for dual pairs

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Coorbit spaces for dual pairs

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Atomic decomposition via projective group representations

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An introduction to frames and Riesz bases

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Principles of harmonic analysis

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Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation

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On the regular representation of a nonunimodular locally compact group

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Banach spaces related to integrable group representations and their atomic decompositions. I

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Banach spaces related to integrable group representations and their atomic decompositions. II

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Convolution-dominated operators on discrete groups

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Convolution-dominated integral operators

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Weighted group algebras on groups of polynomial growth

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On convolution dominated operators

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Continuous frames, function spaces, and the discretization problem

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Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}

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A discrete transform and decompositions of distribution spaces

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The discretization problem for continuous frames

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Abstract harmonic analysis of continuous wavelet transforms

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Vanishing moment conditions for wavelet atoms in higher dimensions

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Sampling theorems on locally compact groups from oscillation estimates

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Coorbit spaces associated to integrably admissible dilation groups

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Wavelet coorbit spaces viewed as decomposition spaces

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Smooth molecular decompositions of functions and singular integral operators

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Describing functions: Atomic decompositions versus frames

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Localization of frames, Banach frames, and the invertibility of the frame operator

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Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions

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Molecules in coorbit spaces and boundedness of operators

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Intrinsic localization of anisotropic frames

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Transforms associated to square integrable group representations. I. General results

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Continuous and Discrete Wavelet Transforms

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Harmonic Analysis on Amalgams of <i>L<sup>P</sup> </i> and <i>l<sup>q</sup> </i>

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On the spectrum of convolution operators on groups with polynomial growth

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Propriétés des matrices ``bien localisées'' près de leur diagonale et quelques applications. (Properties of matrices ``well localized'' near the diagonal and some applications)

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Base d'ondelettes sur les groupes de Lie stratifiés

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Convergence of wavelet frame operators as the sampling density tends to infinity

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Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

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Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)

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Convolution sampling and reconstruction of signals in a reproducing kernel subspace

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Exponential frames on unbounded sets

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Frames arising from irreducible solvable actions. I.

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Compactly supported bounded frames on Lie groups

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Characterization of coorbit spaces with phase-space covers

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Toeplitz operators and Carleson measures on generalized Bargmann-Fock spaces

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Stability of localized operators

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Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation

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Wiener’s lemma for infinite matrices

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Frames in spaces with finite rate of innovation

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Wiener's lemma for localized integral operators

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Biorthogonalité et théorie des opérateurs. (Biorthogonality and operator theory)

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Left inverses of matrices with polynomial decay

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The inclusion of the Schur algebra in \(B(\ell^2)\) is not inverse-closed

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Identifiers

zbMATH Open document ID

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10.1016/j.jfa.2021.108963

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2662507

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