Lectures on Bochner-Riesz means
By: Katherine Michelle Davis, Yang-Chun Chang.
Contributors: Chang, Yang-Chun.
Series: London Mathematical Society lecture note series -- 114
Publisher: Cambridge University Press
Published: 1987
Place of publication: Cambridge
Language: eng
Number of pages: 150
Subjects: Fourier series.; Convergence.; Bochner-Riesz means.
Description: 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.