ENGLISH

Commutative Harmonic Analysis IV: Harmonic Analysis in IRn

By V. P. Khavin , Sh. A. Alimov , R. R. Ashurov , A. K. Pulatov (auth.) , N. K. Nikol’skiǐ (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
3540533796, 9783540533795
DOI
10.1007/978-3-662-06301-9
LCC
QA403 .K6613 1990
Open Library ID
OL18003764M
Language
english
Format
DJVU
Filesize
1 MB (1545425 bytes)
Series
Encyclopaedia of Mathematical Sciences 42
Edition
1
Pages
230\231
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Analysis; Topological GroupsLie Groups

Description

With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals. The authors assume that the reader is familiar with the fundamentals of harmonic analysis and with basic functional analysis. The exposition starts with the basics for each topic, also taking account of the historical development, and ends by bringing the subject to the level of current research. Table of Contents I. Multiple Fourier Series and Fourier Integrals. Sh.A.Alimov, R.R.Ashurov, A.K.Pulatov II. Methods of the Theory of Singular Integrals. II: Littlewood Paley Theory and its Applications E.M.Dyn'kin III.Exceptional Sets in Harmonic Analysis S.V.Kislyakov

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