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Harmonic analysis and fractal analysis over local fields and applications

Author: Weiyi Su
Publisher: Singapore : World Scientific Publishing Company, [2018] ©2018
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field. The book is self-contained, with wide scope and deep knowledge, taking  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Su, Weiyi.
Harmonic analysis and fractal analysis over local fields and applications.
Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2018]
(DLC) 2016052212
(OCoLC)962750227
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Weiyi Su
ISBN: 9789813200517 9813200510
OCLC Number: 1003208260
Description: 1 online resource (xii, 318 pages)
Responsibility: Weiyi Su, Nanjing University, China.

Abstract:

This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field. The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.

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