Encyclopaedia of Mathematical Sciences

Commutative Harmonic Analysis II

Group Methods in Commutative Harmonic Analysis

Editors: Havin, V.P., Nikolski, N.K. (Eds.)

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About this book

Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop (and still does), conquering new unexpected areas and producing impressive applications to a multitude of problems, old and new, ranging from arithmetic to optics, from geometry to quantum mechanics, not to mention analysis and differential equations. The power of group theoretic ideology is successfully illustrated by this wide range of topics. It is widely understood now that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This volume is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in the present volume can hardly be found in any monograph. This book will be very useful to a wide circle of readers, including mathematicians, theoretical physicists and engineers.

Table of contents (2 chapters)

  • Convolution and Translation in Classical Analysis

    Havin, V. P. (et al.)

    Pages 10-158

  • Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups

    Havin, V. P. (et al.)

    Pages 159-298

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-58946-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.00
price for USA
  • ISBN 978-3-642-63800-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Commutative Harmonic Analysis II
Book Subtitle
Group Methods in Commutative Harmonic Analysis
Editors
  • V.P. Havin
  • N.K. Nikolski
Translated by
Dynin, D., Dynin, S.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
25
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-58946-1
DOI
10.1007/978-3-642-58946-1
Softcover ISBN
978-3-642-63800-8
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VIII, 328
Additional Information
Original Russian edition published by VINITI, 1988
Topics