| Affine Density in Wavelet Analysis 2007 Edition Contributor(s): Kutyniok, Gitta (Author) |
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ISBN: 354072916X ISBN-13: 9783540729167 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: July 2007 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Applied |
| Dewey: 515 |
| LCCN: 2007928330 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.38" H x 6.61" W x 9.21" (0.50 lbs) 143 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This volume provides a thorough and comprehensive treatment of irregular wavelet frames. It introduces and employs a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames. |