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Martingale Hardy Spaces and Summability of One-dimensional Vilenkin-fourier Series - Couverture souple
Synopsis
This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis.
The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results of Vilenkin-Fourier series to those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group.
The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research in this fascinating area and can be read independently. Each chapter concludes with historical remarks and open questions. The book will appeal to researchers working in Fourier and more broad harmonic analysis and will inspire them for their own and their students' research. Moreover, researchers in applied fields will appreciate it as a sourcebook far beyond the traditional mathematical domains.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Verlag AG
- Date d'édition2023
- ISBN 10 3031144619
- ISBN 13 9783031144615
- ReliureBroché
- Langueanglais
- Nombre de pages626
- Coordonnées du fabricantnon disponible
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Edité par
Springer International Publishing, 2023
ISBN 10 : 3031144619
ISBN 13 : 9783031144615
Neuf
Kartoniert / Broschiert
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Involves several applications (signal transmission, multiplexing, filtering, image enhancement, code theory)Develops the theory of Vilenkin-Fourier series in the harmonic analysis contextConnects classic theories to modern harmonic analysis. N° de réf. du vendeur 1215160797
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Edité par
Springer International Publishing, 2023
ISBN 10 : 3031144619
ISBN 13 : 9783031144615
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book discusses, develops and applies the theory of Vilenkin-Fourier seriesconnected to modern harmonic analysis.The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results ofVilenkin-Fourier seriesto those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group.The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research in this fascinating area and can be read independently. Each chapter concludes with historical remarks and open questions. The book will appeal to researchers working in Fourier and more broad harmonic analysis and will inspire them for their own and their students' research. Moreover, researchers in applied fields will appreciate it as a sourcebook far beyond the traditional mathematical domains. N° de réf. du vendeur 9783031144615
Quantité disponible : 1 disponible(s)
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Edité par
Springer International Publishing Nov 2023, 2023
ISBN 10 : 3031144619
ISBN 13 : 9783031144615
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book discusses, develops and applies the theory of Vilenkin-Fourier seriesconnected to modern harmonic analysis.The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results ofVilenkin-Fourier seriesto those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group.The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research in this fascinating area and can be read independently. Each chapter concludes with historical remarks and open questions. The book will appeal to researchers working in Fourier and more broad harmonic analysis and will inspire them for their own and their students' research. Moreover, researchers in applied fields will appreciate it as a sourcebook far beyond the traditional mathematical domains. 644 pp. Englisch. N° de réf. du vendeur 9783031144615
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
ISBN 10 : 3031144619
ISBN 13 : 9783031144615
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results of Vilenkin-Fourier series to those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 644 pp. Englisch. N° de réf. du vendeur 9783031144615
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