Four Short Courses on Harmonic Analysis
Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
Seiten
2009
|
2010 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4890-9 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4890-9 (ISBN)
This textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other than Rn.
Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.
Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.
Introduction: Mathematical Aspects of Time-Frequency Analysis.- B-Spline Generated Frames.- Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets.- Wavelets on the Sphere.- Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications.
Reihe/Serie | Applied and Numerical Harmonic Analysis |
---|---|
Co-Autor | Ole Christensen, Karlheinz Gröchenig, Demetrio Labate |
Zusatzinfo | 36 Illustrations, black and white; XVIII, 249 p. 36 illus. |
Verlagsort | Secaucus |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 0-8176-4890-9 / 0817648909 |
ISBN-13 | 978-0-8176-4890-9 / 9780817648909 |
Zustand | Neuware |
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Hanser, Carl (Verlag)
CHF 41,95