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Interpolation and Sidon Sets for Compact Groups

Previously published in hardcover
BuchKartoniert, Paperback
249 Seiten
Englisch
Springererschienen am09.07.20152013
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.mehr
Verfügbare Formate
BuchGebunden
EUR106,99
BuchKartoniert, Paperback
EUR106,99
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThe 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.
ZusammenfassungThis book on interpolation and Sidon sets introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. Includes exercises and open problems.
Details
ISBN/GTIN978-1-4899-7360-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2015
Erscheinungsdatum09.07.2015
Auflage2013
ReiheCMS Books in Mathematics
Seiten249 Seiten
SpracheEnglisch
Gewicht415 g
IllustrationenXVII, 249 p.
Artikel-Nr.35125188

Inhalt/Kritik

Inhaltsverzeichnis
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.âmehr
Kritik
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)mehr