000 | 02740nam a22004695i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-540-72949-5 _2doi |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1914 |
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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 |
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999 |
_c31159 _d31159 |