Overview
Addressing a significant gap in the study of number series, this book presents an in-depth theory of multiple number series and an exhaustive examination of one-dimensional series. It incorporates overlooked yet essential results alongside recent research advancements. Much of the text is based on the authors' original contributions, particularly in the development of relaxed monotonicity concepts, which have become fundamental tools in Fourier and functional analysis. Each chapter concludes with historical context, aiding readers in understanding the theory's evolution. The book is aimed at a wide audience, ranging from undergraduate students to experts in the field. It offers a modern perspective on the theory, along with detailed introductory chapters that make complex concepts accessible for students. The audience will find the novel contributions enriching and inspiring.
Full Product Details
Author: Alberto Debernardi Pinos (Universitat Autònoma de Barcelona) ,
Elijah Liflyand (Bar-Ilan University, Israel) ,
Sergey Tikhonov (Centre de Recerca Matemàtica, Barcelona) ,
Maria Zeltser (Tallinn University)
Publisher: Cambridge University Press
Imprint: Cambridge University Press
ISBN: 9781009562997
ISBN 10: 1009562991
Pages: 438
Publication Date: 19 February 2026
Audience:
Professional and scholarly
,
College/higher education
,
Professional & Vocational
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Forthcoming
Availability: Not yet available, will be POD
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon it's release. This is a print on demand item which is still yet to be released.
Author Information
Alberto Debernardi Pinos is Lecturer at the Universitat Autònoma de Barcelona. He has built a strong junior research career, gaining international experience through post-doctoral positions in Israel and Portugal. His research covers various fields, including Fourier analysis, sampling theory, approximation theory, and noncommutative analysis. Elijah Liflyand held various positions in the Department of Mathematics at Bar-Ilan University, Israel until his retirement in 2020. He has authored three books, including 'Harmonic Analysis on the Real Line' (2021), and edited three further volumes. His research interests include Fourier analysis, approximation, and several complex variables. Sergey Tikhonov is ICREA Research Professor at the Centre de Recerca Matemàtica in Barcelona. His main areas of interest include Fourier analysis and approximation theory. Maria Zeltser is Associate Professor at Tallinn University. She has made valuable contributions to the fields of sequence and double sequence spaces, as well as summability theory. She co-authored a widely used book on financial mathematics in 2020 and has practical experience as a data specialist and analyst.
