eBooks und Zeitschriften im Bereich Technik um 50% reduziert, jetzt zugreifen!

Applied and Numerical Harmonic Analysis

Harmonic and Applied Analysis

From Groups to Signals

Herausgeber: Dahlke, S., De Mari, F., Grohs, P., Labate, D. (Eds.)

  • Highlights promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics
  • A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented
  • Can be used as ​a textbook for graduate courses in applied harmonic analysis
Weitere Vorteile

Dieses Buch kaufen

eBook 71,39 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-18863-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-18862-1
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-35596-2
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

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 Schrödinger 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.​

Über den Autor

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

Inhaltsverzeichnis (5 Kapitel)

  • From Group Representations to Signal Analysis

    Dahlke, Stephan (et al.)

    Seiten 1-5

  • The Use of Representations in Applied Harmonic Analysis

    Mari, Filippo (et al.)

    Seiten 7-81

  • Shearlet Coorbit Theory

    Dahlke, Stephan (et al.)

    Seiten 83-147

  • Efficient Analysis and Detection of Edges Through Directional Multiscale Representations

    Guo, Kanghui (et al.)

    Seiten 149-197

  • Optimally Sparse Data Representations

    Grohs, Philipp

    Seiten 199-248

Dieses Buch kaufen

eBook 71,39 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-18863-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-18862-1
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-35596-2
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Loading...

Wir empfehlen

Loading...

Bibliografische Information

Bibliographic Information
Buchtitel
Harmonic and Applied Analysis
Buchuntertitel
From Groups to Signals
Herausgeber
  • Stephan Dahlke
  • Filippo De Mari
  • Philipp Grohs
  • Demetrio Labate
Titel der Buchreihe
Applied and Numerical Harmonic Analysis
Copyright
2015
Verlag
Birkhäuser Basel
Copyright Inhaber
Springer International Publishing Switzerland
eBook ISBN
978-3-319-18863-8
DOI
10.1007/978-3-319-18863-8
Hardcover ISBN
978-3-319-18862-1
Softcover ISBN
978-3-319-35596-2
Buchreihen ISSN
2296-5009
Auflage
1
Seitenzahl
XV, 256
Anzahl der Bilder und Tabellen
2 schwarz-weiß Abbildungen, 11 Abbildungen in Farbe
Themen