Four Short Courses on Harmonic Analysis
Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
(Sprache: Englisch)
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.
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Produktinformationen zu „Four Short Courses on Harmonic Analysis “
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.
Klappentext zu „Four Short Courses on Harmonic Analysis “
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.
Inhaltsverzeichnis zu „Four Short Courses on Harmonic Analysis “
Introduction: Mathematical Aspects of Time-Frequency Analysis1. B-Spline Generated Frames2. Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets3. Wavelets on the Sphere4. Wiener's Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its ApplicationsReferencesIndex
Bibliographische Angaben
- 2010, Repr. d. Ausg. v. 2009., 249 Seiten, Maße: 15,5 x 23,5 cm, Gebunden, Englisch
- Herausgegeben:Forster, Brigitte; Massopust, Peter;Mitarbeit:Christensen, Ole; Gröchenig, Karlheinz; Labate, Demetrio; Vandergheynst, Pierre; Weiß, Guido; Wiaux, Yves
- Herausgegeben: Brigitte Forster, Peter Massopust
- Verlag: Springer
- ISBN-10: 0817648909
- ISBN-13: 9780817648909
Sprache:
Englisch
Rezension zu „Four Short Courses on Harmonic Analysis “
"This is a well-written, advanced textbook on harmonic analysis intended for graduate students, mathematicians, and engineers working signal processing and communications technology. The book is based on a number of lectures given at the summer school on New Trends and Directions in Harmonic Analysis, Approximation Theory, and Image Analysis, which took place in Inzell, Germany in 2007. The book is divided into five chapters, and each chapter concludes with a number of exercises of varying complexity. The first chapter contains a general introduction to the topic and to the terms used in the subsequent four chapters. The specific topics covered in Chapters 2--5 are: frames and bases in mathematics and engineering, wavelets with composite dilation and their applications, wavelets on the sphere and their applications, and finally Wiener's Lemma: theme and variations." --Mathematical Reviews
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