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20140310151449.0 |
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130107s2013 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461453925 |
|
978-1-4614-5392-5 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA403-403.3 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.785 |
Edition number |
23 |
264 #1 - |
-- |
Boston, MA : |
-- |
Springer US : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Graham, Colin C. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Interpolation and Sidon Sets for Compact Groups |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Colin C. Graham, Kathryn E. Hare. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVII, 249 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, |
International Standard Serial Number |
1613-5237 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface -- Introduction -- Hadamard Sets -- $\epsilon$-Kronecker sets -- Sidon sets: Introduction and decomposition properties -- Characterizations of $I_0$ sets -- Proportional characterizations of Sidon sets -- Decompositions of $I_0$ sets -- Sizes of thin sets -- Sets of zero discrete harmonic density -- Related results.-Open problems -- Appendices (Groups, Probability, Combinatoric results,...) -- Bibliography -- Author index -- Subject index -- Index of notation. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Harmonic analysis. |
|
Topical term or geographic name as entry element |
Fourier analysis. |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Abstract Harmonic Analysis. |
|
Topical term or geographic name as entry element |
Fourier Analysis. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Hare, Kathryn E. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461453918 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-5392-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |