This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis.
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.
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.
"The book offers a wonderful overview, very well structured and complete, on the theory of harmonic analysis developed in the context of the Vilenkin-Fourier series. ... each chapter begins with a broad introduction rich in bibliographical citations that allow the reader to locate himself in the historical context of the topics to be addressed ... the authors include an important and interesting list of open problems proposed with a view to being resolved in future research." (Iris Athamaica López Palacios, zbMATH 1512.42042, 2023)