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Lectures on Bochner-Riesz Means : London Mathematical Society Lecture Note Series - Katherine Michelle Davis

Lectures on Bochner-Riesz Means

London Mathematical Society Lecture Note Series

Paperback

Published: 11th January 1988
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This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The culminating chapter presents Cordoba's geometric theory of Kayeka maximal functions and multipliers. Research workers in the fields of Fourier analysis and harmonic analysis will find this a valuable account of these developments. Second year graduate students, who are familiar with Lebesgue theory and are acquainted with distributions, will be able to use this as a textbook which will bring them up to the exciting open questions in the field.

Introduction
Preliminaries
Multiplier theory
The Hilbert transform
Good lambda and weighted norm inequalities
Multipliers with singularities
Singularities along curves
Restriction theorems
The multiplier theorem for the disc
The Cordoba multiplier theorem
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521312776
ISBN-10: 0521312779
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 164
Published: 11th January 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.0
Weight (kg): 0.25