Affine density in wavelet analysis

Author(s)

• Kutyniok, Gitta

Bibliographic Information

Affine density in wavelet analysis

Gitta Kutyniok

（Lecture notes in mathematics, 1914）

Springer, c2007

Note

Includes bibliographical references (p. [127]-133) and index

Description and Table of Contents

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.

Table of Contents

Wavelet and Gabor Frames.- Weighted Affine Density.- Qualitative Density Conditions.- Quantitative Density Conditions.- Homogeneous Approximation Property.- Weighted Beurling Density and Shift-Invariant Gabor Systems.

by "Nielsen BookData"

Details

• NCID: BA82573705
• ISBN:
  • 9783540729167
• LCCN: 2007928330
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xii, 138 p.
• Size: 24 cm
• Classification:
  • LCC : QA403.3
• Subject Headings:
  • LCSH : Wavelets (Mathematics)
• Parent Bibliography ID:
  • BA00146586
• Link:
  • dx.doi.org/10.1007/978-3-540-72949-5