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Wavelet Theory
About this Title
I. Ya. Novikov, Voronezh State University, Voronezh, Russia, V. Yu. Protasov, Moscow State University, Moscow, Russia and M. A. Skopina, St. Petersburg University, St. Petersburg, Russia. Translated by Evgenia Sorokina
Publication: Translations of Mathematical Monographs
Publication Year:
2011; Volume 239
ISBNs: 978-0-8218-4984-2 (print); 978-1-4704-1625-6 (online)
DOI: https://doi.org/10.1090/mmono/239
MathSciNet review: MR2779330
MSC: Primary 42-02; Secondary 41A60, 42C15, 42C40, 46E30
ReadershipTable of Contents
Front/Back Matter
Chapters
- Wavelets on the line
- Multivariate wavelets
- Compactly supported refinable functions
- Wavelets with compact support
- Fractal properties of wavelets
- Factorization of refinement equations
- Smoothness of compactly supported wavelets
- Nonstationary wavelets
- Periodic wavelets
- Approximation by periodic wavelets
- Remarkable properties of wavelet bases
- Auxiliary facts of the theory of functions and functional analysis
- Historical comments