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Lecture Notes in Mathematics

Harmonic Analysis on Spaces of Homogeneous Type

Authors: Deng, Donggao, Han, Yongsheng

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  • With a preface by Yves Meyer

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About this book

The dramatic changes that came about in analysis during the twentieth century are truly amazing.
In the thirties, complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. No group structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conducting the analysis.
The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose.

Reviews

From the reviews:

"The book reflects recent trends in modern harmonic analysis on spaces of homogeneous type. … is worth being read by every analyst." (Boris Rubin, Zentralblatt MATH, Vol. 1158, 2009)

“The book under review deals with real variable theory on spaces of homogeneous type. … The book does a good job of describing this theory in detail along with the recent results in this exciting area of harmonic analysis.”­­­ (E. K. Narayanan, Mathematical Reviews, Issue 2010 i)


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-540-88745-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-540-88744-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Harmonic Analysis on Spaces of Homogeneous Type
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1966
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-88745-4
DOI
10.1007/978-3-540-88745-4
Softcover ISBN
978-3-540-88744-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 160
Topics

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