Commutative Harmonic Analysis IV: Harmonic Analysis in IRn: 42 (Encyclopaedia of Mathematical Sciences, 42) - Hardcover

Hardcover

ISBN 10: 3540533796 ISBN 13: 9783540533795

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

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.

About this title

Product Description

Springer, Bln., 1991. 228 pages, papberback (former library book) - Encyclopaedia of Mathematical Sciences, volume 42 -

Synopsis

With the groundwork laid in the first volume (EMS 15) of the "Commutative Harmonic Analysis" sub-series 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 include: Multiple Fourier Series and Fourier Integrals by Sh. A. Alimov, R. R. Ashurov, A. K. Pulatov; Methods of the Theory of Singular Integrals; Littlewood Paley Theory and its Applications by E. M. Dyn'kin; and Exceptional Sets in Harmonic Analysis by S. V. Kislyakov.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1991
• Language: English
• ISBN 10: 3540533796
• ISBN 13: 9783540533795
• Binding: Hardcover
• Number of pages: 239
• Editor: Khavin V.P., Nikol'skii N.K.