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＜電子ブック＞
Affine Density in Wavelet Analysis / by Gitta Kutyniok
(Lecture Notes in Mathematics. ISSN:16179692 ; 1914)

版	1st ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XII, 143 p : online resource
著者標目	*Kutyniok, Gitta author SpringerLink (Online service)
件　名	LCSH:Fourier analysis LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Fourier Analysis FREE:Mathematical Applications in Computer Science
一般注記	Wavelet and Gabor Frames -- Weighted Affine Density -- Qualitative Density Conditions -- Quantitative Density Conditions -- Homogeneous Approximation Property -- Weighted Beurling Density and Shift-Invariant Gabor Systems 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 HTTP:URL=https://doi.org/10.1007/978-3-540-72949-5

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