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02720nam a22004695i 4500 |
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978-3-540-72949-5 |
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DE-He213 |
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20151204142848.0 |
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cr nn 008mamaa |
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100301s2007 gw | s |||| 0|eng d |
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|a 9783540729495
|9 978-3-540-72949-5
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|a 10.1007/978-3-540-72949-5
|2 doi
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|a QA403.5-404.5
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|a MAT034000
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|a 515.2433
|2 23
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|a Kutyniok, Gitta.
|e author.
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|a Affine Density in Wavelet Analysis
|h [electronic resource] /
|c by Gitta Kutyniok.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2007.
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| 300 |
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|a XII, 143 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1914
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|a Wavelet and Gabor Frames -- Weighted Affine Density -- Qualitative Density Conditions -- Quantitative Density Conditions -- Homogeneous Approximation Property -- Weighted Beurling Density and Shift-Invariant Gabor Systems.
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| 520 |
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|a In 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.
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|a Mathematics.
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|a Fourier analysis.
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| 650 |
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|a Information theory.
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|a Mathematics.
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| 650 |
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|a Fourier Analysis.
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| 650 |
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4 |
|a Information and Communication, Circuits.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783540729167
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1914
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|u http://dx.doi.org/10.1007/978-3-540-72949-5
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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