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Function Spaces and Wavelets on Domains

Triebel, Hans,

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Function Spaces and Wavelets on Domains

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Function Spaces and Wavelets on Domains/ Hans Triebel
作者:	Triebel, Hans,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2008,
面頁冊數:	1 online resource (265 pages)
標題:	Functional analysis -
電子資源:	https://doi.org/10.4171/019
電子資源:	https://www.ems-ph.org/img/books/triebel(Tracts7)_mini.jpg
ISBN:	9783037195192

Function Spaces and Wavelets on Domains
Triebel, Hans,

Function Spaces and Wavelets on Domains[electronic resource] /Hans Triebel - Zuerich, Switzerland :European Mathematical Society Publishing House,2008 - 1 online resource (265 pages) - EMS Tracts in Mathematics (ETM)7.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Wavelets have emerged as an important tool in analyzing functions containing discontinuities and sharp spikes. They were developed independently in the fields of mathematics, quantum physics, electrical engineering, and seismic geology. Interchanges between these fields during the last ten years have led to many new wavelet applications such as image compression, turbulence, human vision, radar, earthquake prediction, and pure mathematics applications such as solving partial differential equations. This book develops a theory of wavelet bases and wavelet frames for function spaces on various types of domains. Starting with the usual spaces on Euclidean spaces and their periodic counterparts, the exposition moves on to so-called thick domains (including Lipschitz domains and snowflake domains). Especially, wavelet expansions and extensions to corresponding spaces on Euclidean n-spaces are developed. Finally, spaces on smooth and cellular domains and related manifolds are treated. Although the presentation relies on the recent theory of function spaces, basic notation and classical results are repeated in order to make the text self-contained. The book is addressed to two types of readers: researchers in the theory of function spaces who are interested in wavelets as new effective building blocks for functions, and scientists who wish to use wavelet bases in classical function spaces for various applications. Adapted to the second type of readers, the preface contains a guide to where one finds basic definitions and key assertions.

ISBN: 9783037195192

Standard No.: 10.4171/019doiSubjects--Topical Terms:

731345
Functional analysis

Function Spaces and Wavelets on Domains
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