CMS Books in Mathematics

Interpolation and Sidon Sets for Compact Groups

Authors: Graham, Colin, Hare, Kathryn E.

  • Only book on interpolation sets  
  • Only book in English with Pisier-Bourgain results  
  • Brings together results from topology, probability, combinatorics, algebra and analysis   ​
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5392-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-5391-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included.    The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis. ​

Reviews

From the book reviews:

“This is … a book that puts together a great deal of deep, and at many points appealing, information that could only be found before in scattered sources. This new perspective makes the picture much more clear and will surely be welcome by experts and students. In this sense, such a contribution was necessary and the final result can only be regarded as notable.” (Jorge Galindo, Mathematical Reviews, April, 2014)

“The book under review … fills a gap in the literature and gives a complete overview of the actual state of the art. Moreover, it concerns not only Sidon sets, but more generally interpolation sets … and it is the first book on this subject. … This book is very well written, with a pedagogic concern, and very pleasant to read. The chapters end with some exercises … and very interesting historical comments and indications on connected subjects.” (Daniel Li, zbMATH, Vol. 1267, 2013)

Table of contents (13 chapters)

  • Hadamard Sets

    Graham, Colin C. (et al.)

    Pages 1-18

  • ε-Kronecker Sets

    Graham, Colin C. (et al.)

    Pages 19-47

  • I 0 Sets and Their Characterizations

    Graham, Colin C. (et al.)

    Pages 49-66

  • More Restrictive Classes of I 0 Sets

    Graham, Colin C. (et al.)

    Pages 67-76

  • Unions and Decompositions of I 0(U) Sets

    Graham, Colin C. (et al.)

    Pages 77-91

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5392-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-5391-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Interpolation and Sidon Sets for Compact Groups
Authors
Series Title
CMS Books in Mathematics
Copyright
2013
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5392-5
DOI
10.1007/978-1-4614-5392-5
Hardcover ISBN
978-1-4614-5391-8
Series ISSN
1613-5237
Edition Number
1
Number of Pages
XVII, 249
Topics