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9783319355962: Harmonic and Applied Analysis: From Groups to Signals

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ISBN 10 : 3319355961 ISBN 13 : 9783319355962

Editeur : Birkh�user, 2016

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This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data.

After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as

An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schr�dinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group
An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces
Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data
Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities.

A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.

Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook

for graduate courses in applied harmonic analysis.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Stephan Dahlke is Professor in the Department of Mathematics and Computer Sciences at Philipps-University of Marburg, Germany.

Filippo De Mari is Associate Professor in the Department of Mathematics at the University of Genova, Italy.

Philipp Grohs is Assistant Professor in the Seminar for Applied Mathematics at the Swiss Federal Institute of Technology, Zurich, Switzerland.

Demetrio Labate is Associate Professor in the Department of Mathematics at the University of Houston, TX, USA

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurBirkh�user
Date d'�dition2016
ISBN 10 3319355961
ISBN 13 9783319355962
ReliureBroch�
Langueanglais
Nombre de pages272
�diteurDahlke Stephan, De Mari Filippo, Grohs Philipp, Labate Demetrio
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Harmonic and Applied Analysis

Dahlke, Stephan|De Mari, Filippo|Grohs, Philipp|Labate, Demetrio

Edit� par Springer International Publishing, 2016

ISBN 10 : 3319355961 ISBN 13 : 9783319355962

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Highlights promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematicsA unified notation is used across all of the chapters to ensure consiste. N� de r�f. du vendeur 458603069

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Harmonic and Applied Analysis : From Groups to Signals

Stephan Dahlke

Edit� par Springer International Publishing, 2016

ISBN 10 : 3319355961 ISBN 13 : 9783319355962

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data.After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics asAn overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schr�dinger representation of the Heisenberg group, and the metaplectic representation of the symplectic groupAn introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spacesMicrolocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional dataMathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities.A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbookfor graduate courses in applied harmonic analysis. N� de r�f. du vendeur 9783319355962

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Harmonic and Applied Analysis

Stephan Dahlke

Edit� par Springer International Publishing Okt 2016, 2016

ISBN 10 : 3319355961 ISBN 13 : 9783319355962

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data.After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics asAn overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schr�dinger representation of the Heisenberg group, and the metaplectic representation of the symplectic groupAn introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spacesMicrolocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional dataMathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities.A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis. 272 pp. Englisch. N� de r�f. du vendeur 9783319355962

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Harmonic and Applied Analysis

Stephan Dahlke

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ISBN 10 : 3319355961 ISBN 13 : 9783319355962

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Taschenbuch. Etat : Neu. Neuware -This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data.After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics asAn overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schr�dinger representation of the Heisenberg group, and the metaplectic representation of the symplectic groupAn introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spacesMicrolocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional dataMathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities.A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.Harmonic and Applied Analysis:From Groups to Signalsis aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbookfor graduate courses in applied harmonic analysis.�Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 272 pp. Englisch. N� de r�f. du vendeur 9783319355962

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