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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 23
  3. Journal of Fourier Analysis and Applications : Volume 23, Issue 1, February 2017
  4. Coorbit Spaces with Voice in a Fréchet Space
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 23, Issue 3, June 2017
Journal of Fourier Analysis and Applications : Volume 23, Issue 2, April 2017
Journal of Fourier Analysis and Applications : Volume 23, Issue 1, February 2017
Superframes and Polyanalytic Wavelets
Marcinkiewicz-Type Spectral Multipliers on Hardy and Lebesgue Spaces on Product Spaces of Homogeneous Type
Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations
On the 1D Cubic Nonlinear Schrödinger Equation in an Almost Critical Space
On the Numerical Evaluation of Bandpass Prolates II
Coorbit Spaces with Voice in a Fréchet Space
The Billard Theorem for Multiple Random Fourier Series
Convergence Properties of Spline-Like Cardinal Interpolation Operators Acting on $$\ell ^p$$ Data
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Coorbit Spaces with Voice in a Fréchet Space

Content Provider Springer Nature Link
Author Labate, D. De Mari, F. Teschke, G. De Vito, E. Steidl, G. Vigogna, S. Dahlke, S.
Copyright Year 2016
Abstract We set up a new general coorbit space theory for reproducing representations of a locally compact second countable group G that are not necessarily irreducible nor integrable. Our basic assumption is that the kernel associated with the voice transform belongs to a Fréchet space $$\mathcal T$$ of functions on G, which generalizes the classical choice $$\mathcal T=L_w^1(G)$$ . Our basic example is $$ \mathcal T=\bigcap _{p\in (1,+\infty )} L^p(G)$$ , or a weighted versions of it. By means of this choice it is possible to treat, for instance, Paley-Wiener spaces and coorbit spaces related to Shannon wavelets and Schrödingerlets.
Ending Page 206
Page Count 66
Starting Page 141
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 1
Volume Number 23
Language English
Publisher Springer US
Publisher Date 2016-03-28
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Coorbit spaces Fréchet spaces $L^p$ -spaces and other function spaces on groups, semigroups, etc. Unitary representations of locally compact groups Abstract Harmonic Analysis Locally convex Fréchet spaces and (DF)-spaces Mathematical Methods in Physics Fourier Analysis Signal,Image and Speech Processing Function spaces arising in harmonic analysis Topological linear spaces of test functions, distributions and ultradistributions Approximations and Expansions Representations of locally compact groups Reproducing formulae Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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