Buch, Englisch, Band 1914, 143 Seiten, Book w. online files / update, Format (B × H): 155 mm x 235 mm, Gewicht: 248 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1914, 143 Seiten, Book w. online files / update, Format (B × H): 155 mm x 235 mm, Gewicht: 248 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-72916-7
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
Wavelet and Gabor Frames.- Weighted Affine Density.- Qualitative Density Conditions.- Quantitative Density Conditions.- Homogeneous Approximation Property.- Weighted Beurling Density and Shift-Invariant Gabor Systems.
