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<図書>
Harmonic analysis on the Heisenberg group

責任表示 Sundaram Thangavelu
シリーズ Progress in mathematics ; v. 159
データ種別 図書
出版者 Boston : Birkhäuser
出版年 c1998
本文言語 英語
大きさ xii, 191 p. ; 25 cm
概要 The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum me...hanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of Euclidean harmonic analysis. The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Thangavelu 's exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and self-contained text invaluable.
The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of Euclidean harmonic analysis. The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Thangavelu 's exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and self-contained text invaluable.
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所蔵情報

: us 理系図3F 数理独自 023211998002935 SER/PM/159 1998
: us 理系図3F 数理独自 023211998002947 THAN/10/2 1998

書誌詳細

一般注記 Includes bibliographical references (p. [185]-191) and index
著者標目 *Thangavelu, Sundaram
件 名 LCSH:Harmonic analysis
LCSH:Nilpotent Lie groups
分 類 LCC:QA403
DC21:515/.2433
NDC8:411.68
NDC8:413.1
書誌ID 1001393097
ISBN 0817640509
NCID BA35149900
巻冊次 : us ; ISBN:0817640509
: gw ; ISBN:3764340509
登録日 2009.11.02
更新日 2009.11.02

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