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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Lars-Erik Persson, George Tephnadze, Ferenc Weisz (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.11.2022
Sprache
Englisch
EAN
9783031144585
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Lars-Erik Persson, George Tephnadze, Ferenc Weisz
Seitenanzahl
626
Einbandart
Gebundene Ausgabe
Schlagwörter
Harmonic Analysis, Vilenkin Groups, Vilenkin Systems, Lebesgue Spaces, Weak-Lp Spaces, Modulus of Continuity, Vilenkin-Fourier Coefficients, Partial Sums of Vilenkin-Fourier Series, Lebesgue Constants, Fejer Means, Cesaro Means, Norlund Means, Riesz Logarithmic Means, Norlund Logarithmic Means, Martingale Hardy Spaces, Variable Lebesgue Spaces, Variable Martingale Hardy Spaces, Maximal Operators, Strong Convergence
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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