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001 978-3-540-31552-0
003 DE-He213
005 20190213151805.0
007 cr nn 008mamaa
008 100806s2005 gw | s |||| 0|eng d
020 _a9783540315520
_9978-3-540-31552-0
024 7 _a10.1007/b104912
_2doi
050 4 _aQA403-403.3
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.785
_223
100 1 _aFühr, Hartmut.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAbstract Harmonic Analysis of Continuous Wavelet Transforms
_h[electronic resource] /
_cby Hartmut Führ.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2005.
300 _aX, 193 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1863
505 0 _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.
520 _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.
650 0 _aHarmonic analysis.
650 0 _aFourier analysis.
650 1 4 _aAbstract Harmonic Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12015
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540806608
776 0 8 _iPrinted edition:
_z9783540242598
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1863
856 4 0 _uhttps://doi.org/10.1007/b104912
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11897
_d11897