Lebesgue Points and Summability of Higher Dimensional Fourier Series

Autoren: Weisz, Ferenc

Vorschau
  • Presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points
  • Introduces readers to multiple methods of summability, focusing particularly on Fejér and Cesàro summability, as well as theta-summation
  • Includes multiple real-world applications, recent results, and a presentation that prioritizes clarity throughout
Weitere Vorteile

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eBook 96,29 €
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  • ISBN 978-3-030-74636-0
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Über dieses Buch

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource.

The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions.

Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.

Inhaltsverzeichnis (4 Kapitel)

Inhaltsverzeichnis (4 Kapitel)

Dieses Buch kaufen

eBook 96,29 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-74636-0
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 128,39 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Lebesgue Points and Summability of Higher Dimensional Fourier Series
Autoren
Copyright
2021
Verlag
Birkhäuser Basel
Copyright Inhaber
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-74636-0
DOI
10.1007/978-3-030-74636-0
Hardcover ISBN
978-3-030-74635-3
Auflage
1
Seitenzahl
XIII, 290
Anzahl der Bilder
23 schwarz-weiß Abbildungen, 1 Abbildungen in Farbe
Themen