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6 produkter
6 produkter
Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Inbunden, Engelska, 2022
1 804 kr
Skickas inom 10-15 vardagar
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.
634 kr
Skickas inom 5-8 vardagar
Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Häftad, Engelska, 2023
1 804 kr
Skickas inom 10-15 vardagar
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.
Del 7 - Trends in Mathematics
Tbilisi Analysis and PDE Seminar
Extended Abstracts of the 2020-2023 Seminar Talks
Inbunden, Engelska, 2024
2 121 kr
Skickas inom 10-15 vardagar
The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications.
Del 7 - Trends in Mathematics
Tbilisi Analysis and PDE Seminar
Extended Abstracts of the 2020-2023 Seminar Talks
Häftad, Engelska, 2025
2 333 kr
Skickas inom 10-15 vardagar
The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications. This book is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops. In particular, it contains some applications and several open questions aimed at inspiring further research. The volume contains 21 research articles.
Tbilisi Analysis and PDE Seminar
Extended Abstracts of the 2024 Seminar Talks
Inbunden, Engelska, 2026
3 370 kr
Kommande
This volume is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops in 2024. The contributions present some new developments and ideas in differential equations, mathematical analysis, harmonic analysis, inequalities, integral equations, and applications. In particular, it contains some applications and several open questions as a source of inspiration for further research. The Tbilisi Analysis & PDE seminars are held bi-weekly since 2019, and the workshop is organized every year since 2023. Researchers in the named fields will find this volume useful.