Interpolation and Sidon Sets for Compact Groups

  • Colin C. Graham
  • Kathryn E. Hare

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

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Colin C. Graham, Kathryn E. Hare
    Pages 1-18
  3. Colin C. Graham, Kathryn E. Hare
    Pages 19-47
  4. Colin C. Graham, Kathryn E. Hare
    Pages 49-66
  5. Colin C. Graham, Kathryn E. Hare
    Pages 67-76
  6. Colin C. Graham, Kathryn E. Hare
    Pages 77-91
  7. Colin C. Graham, Kathryn E. Hare
    Pages 93-116
  8. Colin C. Graham, Kathryn E. Hare
    Pages 117-134
  9. Colin C. Graham, Kathryn E. Hare
    Pages 135-151
  10. Colin C. Graham, Kathryn E. Hare
    Pages 153-173
  11. Colin C. Graham, Kathryn E. Hare
    Pages 175-186
  12. Colin C. Graham, Kathryn E. Hare
    Pages 187-200
  13. Colin C. Graham, Kathryn E. Hare
    Pages 201-206
  14. Colin C. Graham, Kathryn E. Hare
    Pages 207-222
  15. Back Matter
    Pages 223-249

About this book

Introduction

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. ​

Keywords

Bohr Topology Interpolation Sets Kronecker sets Probablistic Methods in Harmonic Analysis Quasi-independent sets Sidon Sets

Authors and affiliations

  • Colin C. Graham
    • 1
  • Kathryn E. Hare
    • 2
  1. 1., Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2., Department of Pure MathematicsUniversity of WaterlooWaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-5392-5
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-5391-8
  • Online ISBN 978-1-4614-5392-5
  • Series Print ISSN 1613-5237
  • About this book