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Lectures on Bochner-Riesz means /

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 w...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Davis, Katherine Michelle, 1949-
Otros Autores: Chang, Yang-Chun, 1937-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987.
Colección:London Mathematical Society lecture note series ; 114.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (ix, 150 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 147-148) and index.
ISBN:9781107087682
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