Functional Analysis, Harmonic Analysis, and Image Processing

Front Cover
Michael Cwikel, Mario Milman
American Mathematical Soc., Jul 26, 2017 - Computers - 411 pages

This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways.

Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool.

This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.

 

Selected pages

Contents

Björn David Jawerth 19522013
1
Some recent developments with applications
7
Uncertainty principles and weighted norm inequalities
55
The discrete Calderón reproducing formula of Frazier and Jawerth
79
A characterisation of the BesovLipschitz and TriebelLizorkin spaces using Poisson like kernels
109
An approximation problem in multiplicatively invariant spaces
143
Discrete decomposition of homogeneous mixednorm Besov spaces
167
From FrazierJawerth characterizations of Besov spaces to wavelets and decomposition spaces
185
Extrapolation a technique to estimate
271
On a dual property of the maximal operator on weighted variable Lp spaces
283
Is the Dirichlet space a quotient of DA_n?
301
Characterizations of the Hardy space H1R and BMOR
309
Four proofs of cocompactness for Sobolev embeddings
321
Tempered homogeneous function spaces II
331
A comparison
363
An iteratively reweighted least squares algorithm for sparse regularization
391

Traces and extensions of weighted Sobolev and potential spaces
217
An example
235
Tracking the structural deformation of a sheared biopolymer network
255
Back Cover
413
Copyright

Common terms and phrases

a.e. we Q algorithm applications assume atoms Banach spaces Besov spaces Björn Jawerth BMO(R bounded Calderón characterization cocompactness compact condition constant continuous embedding convergence coorbit spaces Corollary decomposition spaces defined definition denote distribution dyadic cubes embedding equations equivalent extrapolation finite follows Fourier transform Frazier and Jawerth function spaces Hardy spaces harmonic analysis Hence Hilbert space Hölder's inequality homogeneous spaces implies inhomogeneous integral interpolation invariant spaces kernel Lebesgue Lebesgue spaces Lemma linear Math Mathematics measurable functions norm obtain operator Orlicz pointwise polynomials problem proof of Theorem properties Proposition prove q soo quasi-Banach quasi-norms range function result satisfies Section sequence shearlet smoothness Sobolev Sobolev spaces subspace Theorem 1.1 theory Triebel Triebel-Lizorkin spaces uncertainty principle uncertainty principle inequality wavelet weighted

About the author (2017)

Edited by Michael Cwikel: Technion-Israel Institute of Technology, Haifa, Israel,
Mario Milman: Instituto Argentino de Matematica, Buenos Aires, Argentina

Bibliographic information

TitleFunctional Analysis, Harmonic Analysis, and Image Processing
Volume 693 of Contemporary Mathematics
Editors Michael Cwikel, Mario Milman
Editionillustrated
PublisherAmerican Mathematical Soc., 2017
ISBN1470428369, 9781470428365
Length411 pages
Subjects › 

Computers / Image Processing
Mathematics / Applied
Mathematics / Calculus
Mathematics / Infinity
Mathematics / Mathematical Analysis
  
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