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020 _a9783540729495
_9978-3-540-72949-5
024 7 _a10.1007/978-3-540-72949-5
_2doi
050 4 _aQA403.5-404.5
072 7 _aPBKF
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKF
_2thema
082 0 4 _a515.2433
_223
100 1 _aKutyniok, Gitta.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAffine Density in Wavelet Analysis
_h[electronic resource] /
_cby Gitta Kutyniok.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aXII, 143 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 ;
_v1914
505 0 _aWavelet and Gabor Frames -- Weighted Affine Density -- Qualitative Density Conditions -- Quantitative Density Conditions -- Homogeneous Approximation Property -- Weighted Beurling Density and Shift-Invariant Gabor Systems.
520 _aIn wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of the associated wavelet systems. This volume provides the first thorough and comprehensive treatment of irregular wavelet frames by introducing and employing a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Many of the results are new and published for the first time. Topics include: qualitative and quantitative density conditions for existence of irregular wavelet frames, non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.
650 0 _aFourier analysis.
650 0 _aMathematics.
650 1 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aInformation and Communication, Circuits.
_0http://scigraph.springernature.com/things/product-market-codes/M13038
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540839194
776 0 8 _iPrinted edition:
_z9783540729167
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1914
856 4 0 _uhttps://doi.org/10.1007/978-3-540-72949-5
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9294
_d9294