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100   $a20100806d2005      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAbstract Harmonic Analysis of Continuous Wavelet Transforms$b[electronic resource] /$fby Hartmut Führ
205   $a1st ed. 2005.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005.
215   $a1 online resource (X, 193 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1863
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-24259-7 
320   $aIncludes bibliographical references (pages [185]-190) and index.
327   $aIntroduction -- Wavelet Transforms and Group Representations -- The Plancherel Transform for Locally Compact Groups -- Plancherel Inversion and Wavelet Transforms -- Admissible Vectors for Group Extension -- Sampling Theorems for the Heisenberg Group -- References -- Index.
330   $aThis volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a ? reasonably self-contained ? exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1863
606   $aHarmonic analysis
606   $aFourier analysis
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
615  0$aHarmonic analysis.
615  0$aFourier analysis.
615 14$aAbstract Harmonic Analysis.
615 24$aFourier Analysis.
676   $a515.2433
700   $aFühr$b Hartmut$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472490
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466473303316
996   $aAbstract harmonic analysis of continuous wavelet transforms$9230757
997   $aUNISA