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Single and Multiple Number Series

Brief Description
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'... Read More
Format: Hardback
$44300

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This comprehensive study of single and multiple number series is aimed at a wide audience, from students to experts in the field. It offers novel contributions and a modern perspective on the theory, along with detailed introductory chapters that make complex concepts accessible for students.

A comprehensive study of single and multiple number series, aimed at a broad audience ranging from students to experts.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description
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.

Series: Encyclopedia of Mathematics and its Applications

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Book Details

INFORMATION

ISBN: 9781009562997

Publisher: Cambridge University Press

Format: Hardback

Date Published: 19 February 2026

Country: United Kingdom

Imprint: Cambridge University Press

Illustration: Worked examples or Exercises

Audience: General / adult, Tertiary education, Professional and scholarly

DIMENSIONS

Spine width: 24.0mm

Width: 156.0mm

Height: 234.0mm

Weight: 853g

Pages: 438

About the Author

Alberto Debernardi Pinos is Lecturer at the Universitat AutΓ²noma 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 MatemΓ tica 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.

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