Items related to Lectures on Bochner-Riesz Means (London Mathematical...

Lectures on Bochner-Riesz Means (London Mathematical Society Lecture Note Series, Series Number 114) (Volume 0) - Softcover

Book 102 of 387: London Mathematical Society Lecture Notes

Davis, Katherine Michelle; Chang, Yang-Chun

 
9780521312776: Lectures on Bochner-Riesz Means (London Mathematical Society Lecture Note Series, Series Number 114) (Volume 0)

Synopsis

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.

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Book Description

Beginning with a thorough discussion of the classical one-dimensional theory, this text considers the modern theory of Fourier series since Zygmund's classic study. It covers developments of the 1970s from Fefferman's famous disc counterexample to Cordoba's geometric theory.

"About this title" may belong to another edition of this title.