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<図書>
Harmonic analysis in hypercomplex systems

責任表示 by Yu.M. Berezansky and A.A. Kalyuzhnyi
シリーズ Mathematics and its applications ; v. 434
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1998
本文言語 英語
大きさ x, 483 p. ; 25 cm
概要 This monograph is devoted to the theory of hypercomplex systems with locally compact basis. Such systems were introduced by Yu. Berezansky and S. Krein in the 1950s and are a generalisation of the no...ion of a hypergroup (a family of generalised shift operators) which was introduced in the 1970s. The book gives a state-of-the-art account of hypercomplex systems theory. Topics covered include Fourier transforms, the Plancherel theorem, the Peter-Weyl theorem, representation theory, duality, Gelfand pairs, Sturm-Liouville operators, and Lie theory. New proofs of results concerning Tannaka-Krein duality and Gelfand pairs are given. On the basis of this theory, new approaches to the construction of harmonic analysis on well-known objects become possible. This volume will be of interest to researchers and graduate students involved in harmonic analysis and representation theory. 続きを見る

所蔵情報


理系図3F 数理独自 023211998006438 BERE/20/6 1998

書誌詳細

別書名 原タイトル:Garmonicheskiĭ analiz v giperkompleksnykh sistemakh
一般注記 Includes bibliographical references and index
"This is a completely revised and updated translation of the original Russian work of the same title" -- T.p. verso
著者標目 *Berezanskiĭ, I︠U︡. M. (I︠U︡riĭ Makarovich)
Kali︠u︡zhnyĭ, A. A. (Aleksandr Alekseevich)
統一書名標目 Garmonicheskiĭ analiz v giperkompleksnykh sistemakh
件 名 LCSH:Harmonic analysis
LCSH:Numbers, Complex
分 類 LCC:QA403
DC21:515/.2433
NDC8:413.54
NDC8:413.1
書誌ID 1001393794
ISBN 0792350294
NCID BA35650414
巻冊次 ISBN:0792350294
登録日 2009.11.02
更新日 2009.11.02

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