000 02740nam a22004695i 4500
001 978-3-540-72949-5
003 DE-He213
005 20160624101834.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
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
082 0 4 _a515.2433
_223
100 1 _aKutyniok, Gitta.
_eauthor.
245 1 0 _aAffine Density in Wavelet Analysis
_h[electronic resource] /
_cby Gitta Kutyniok.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
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 _aMathematics.
650 0 _aFourier analysis.
650 1 4 _aMathematics.
650 2 4 _aFourier Analysis.
650 2 4 _aInformation and Communication, Circuits.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540729167
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1914
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-72949-5
942 _2EBK1865
_cEBK
999 _c31159
_d31159