Abstract harmonic analysis of continuous wavelet transforms

＜図書＞
Abstract harmonic analysis of continuous wavelet transforms

責任表示	Hartmut Führ
シリーズ	Lecture notes in mathematics ; 1863
データ種別	図書
出版情報	Berlin : Springer , c2005
本文言語	英語
大きさ	x, 193 p. ; 24 cm
概要	This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The co...nection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a reasonably self-contained exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6949857

一般注記	Includes bibliographical references (p. [185]-190) and index
著者標目	*Führ, Hartmut
件　名	LCSH:Harmonic analysis LCSH:Wavelets (Mathematics)
分　類	LCC:QA3 LCC:QA403.3 DC22:510 s DC22:515/.2433
書誌ID	1001239818
ISBN	3540242597
NCID	BA71175824
URL
巻冊次	ISBN:3540242597
登録日	2009.09.18
更新日	2017.02.18