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...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Davis, Katherine Michelle 1949- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1987
Schriftenreihe:	London Mathematical Society lecture note series 114
Schlagworte:	Fourier series Convergence Konvergenz Fourier-Reihe
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (ix, 150 pages)
ISBN:	9781107325654
DOI:	10.1017/CBO9781107325654