Skip to main content
SpringerLink
Log in
Book cover

Interpolation and Sidon Sets for Compact Groups

  • Book
  • © 2013

Overview

Authors:
  1. Colin C. Graham

    1. , Department of Mathematics, University of British Columbia, Vancouver, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Kathryn E. Hare

    1. , Department of Pure Mathematics, University of Waterloo, Waterloo, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Only book on interpolation sets
  • Only book in English with Pisier-Bourgain results
  • Brings together results from topology, probability, combinatorics, algebra and analysis ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: CMS Books in Mathematics (CMSBM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Hadamard Sets

    • Colin C. Graham, Kathryn E. Hare
    Pages 1-18

  3. ε-Kronecker Sets

    • Colin C. Graham, Kathryn E. Hare
    Pages 19-47

  4. I 0 Sets and Their Characterizations

    • Colin C. Graham, Kathryn E. Hare
    Pages 49-66

  5. More Restrictive Classes of I 0 Sets

    • Colin C. Graham, Kathryn E. Hare
    Pages 67-76

  6. Unions and Decompositions of I 0(U) Sets

    • Colin C. Graham, Kathryn E. Hare
    Pages 77-91

  7. Sidon Sets: Introduction and Decomposition Properties

    • Colin C. Graham, Kathryn E. Hare
    Pages 93-116

  8. Sidon Sets Are Proportional Quasi-independent

    • Colin C. Graham, Kathryn E. Hare
    Pages 117-134

  9. How Thin Are Sidon Sets in the Bohr Compactification?

    • Colin C. Graham, Kathryn E. Hare
    Pages 135-151

  10. The Relationship Between Sidon and I 0

    • Colin C. Graham, Kathryn E. Hare
    Pages 153-173

  11. Sets of Zero Discrete Harmonic Density

    • Colin C. Graham, Kathryn E. Hare
    Pages 175-186

  12. Interpolation and Sidon Sets for Groups That Are Not Compact and Abelian

    • Colin C. Graham, Kathryn E. Hare
    Pages 187-200

  13. Combinatorial Results

    • Colin C. Graham, Kathryn E. Hare
    Pages 201-206

  14. Background Material

    • Colin C. Graham, Kathryn E. Hare
    Pages 207-222

  15. Back Matter

    Pages 223-249
    Download chapter PDF
Back to top

Keywords

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)

Authors and Affiliations

  • , Department of Mathematics, University of British Columbia, Vancouver, Canada

    Colin C. Graham

  • , Department of Pure Mathematics, University of Waterloo, Waterloo, Canada

    Kathryn E. Hare

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation