Affine density in wavelet analysis
著者
書誌事項
Affine density in wavelet analysis
（Lecture notes in mathematics, 1914）
Springer, c2007
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注記
Includes bibliographical references (p. [127]-133) and index
内容説明・目次
内容説明
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.
目次
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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