{"product_id":"9783540729167","title":"Affine Density in Wavelet Analysis (Lecture Notes in Mathematics) \u003cVol. 1914\u003e","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e Wavelet and Gabor Frames.- Weighted Affine Density.- Qualitative Density Conditions.- Quantitative Density Conditions.- Homogeneous Approximation Property.- Weighted Beurling Density and Shift-Invariant Gabor Systems.","brand":"Springer","offers":[{"title":"Default Title","offer_id":48765930504427,"sku":"00000_00000_00000_00000","price":91.46,"currency_code":"SGD","in_stock":true}],"url":"https:\/\/kinokuniya.com.sg\/products\/9783540729167","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}