Encyclopaedia of Mathematical Sciences

Commutative Harmonic Analysis IV

Harmonic Analysis in IRn

Editors: Khavin, V.P., Nikol'skii, N.K. (Eds.)

13Chapter downloads/week on SpringerLink

Buy this book

eBook $139.00 net
( price for USA )
  • ISBN 978-3-662-06301-9
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Hardcover $179.00 net
( price for USA )
  • ISBN 978-3-540-53379-5
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days
Softcover $179.00 net
( price for USA )
  • ISBN 978-3-642-08103-3
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days
About this book

In this volume of the series "Commutative Harmonie Analysis", three points mentioned in the preface to the first volume are realized: 1) Multiple Fourier series and Fourier integrals; 2) The machinery of singular integrals; 3) Exeeptional sets in harmonie analysis. The first theme is the subjeet matter of the eontribution by Sh. A. Ali­ mov, R. R. Ashurov, A. K. Pulatov, whieh in an obvious way eonstitutes the "multidimensional parallel" to S. V. Kislyakov's article in Volume I, devoted to the "inner" questions of Fourier analysis of funetions of one variable. The passage to the analysis of functions defined on ]Rn, n > 1, teIls us something essential about the nature of the problem under study. The eontribution by E. M. Dyn'kin, the beginning of which was already published in Volume I of this subseries, is devoted to singular integrals. Be­ sides classical material (Calder6n-Zygmund and Littlewood-Paley theory), this article eontains an exposition of reeent results, whieh in an essential way have widened the seope of the whole area and have made it possible to solve many old problems, thereby sometimes transeending the very frames of harmonie analysis in its eanonieal interpretation.

Table of contents (2 chapter)

  • Multiple Fourier Series and Fourier Integrals

    Sh. A. Alimov, R. R. Ashurov, A. K. Pulatov

    Pages 1-95

    Buy Chapter $29.95
  • Methods of the Theory of Singular Integrals: Littlewood-Paley Theory and Its Applications

    E. M. Dyn’kin

    Pages 97-194

    Buy Chapter $29.95
Free Preview

Buy this book

eBook $139.00 net
( price for USA )
  • ISBN 978-3-662-06301-9
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Hardcover $179.00 net
( price for USA )
  • ISBN 978-3-540-53379-5
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days
Softcover $179.00 net
( price for USA )
  • ISBN 978-3-642-08103-3
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Commutative Harmonic Analysis IV
Book Subtitle
Harmonic Analysis in IRn
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
42
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-06301-9
DOI
10.1007/978-3-662-06301-9
Hardcover ISBN
978-3-540-53379-5
Softcover ISBN
978-3-642-08103-3
Series ISSN
0938-0396
Edition Number
1
Topics