Logo - springer
Slogan - springer

Mathematics - Analysis | Principles of Harmonic Analysis

Principles of Harmonic Analysis

Series: Universitext

Deitmar, Anton, Echterhoff, Siegfried

2nd ed. 2014, XIII, 332 p. 11 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.99

(net) price for USA

ISBN 978-3-319-05792-7

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$79.99

(net) price for USA

ISBN 978-3-319-05791-0

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Second edition is completely revised and updated, including many new exercises and theorems
  • New chapter on p-adic and abelic groups
  • Updated appendices on theoretic topology, Lebesgue integration, and functional analysis
This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

Content Level » Graduate

Keywords » Abelian Groups - Direct and Indirect Integrals - Fourier Analysis - Harmonic Analysis - Pontryagin Duality - Selberg Trace Formula

Related subjects » Analysis - Applications - Computational Science & Engineering

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Abstract Harmonic Analysis.