Four short courses on harmonic analysis: wavelets, frames, time-frequency methods, and applications to signal and image analysis

This state-of-the-art textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work thatcombines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other then Rn. Written by internationally renowned mathematicians, the interdisciplinary chapters have expository character, allowing the reader to understand the theory behind modern image and signal processing methodologies. The main emphasis is on the interdependence of the four modern research directions. Each chapter ends with exercises that allow for a more in-depth understanding of the material and are intended to stimulate the reader toward further research. A comprehensive index completes the work. Topics covered include frames and bases in mathematics and engineering, wavelets with composite dilations and their applications, wavelets on the sphere and their applications, Wiener's Lemma: theme and variations. The first work to combine spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other then Rn Written by world-renowned experts in harmonic analysis Main emphasis is on interdependence of the four modern research directions in harmonic analysis Exercises at the end of each chapter Intended as a graduate-level textbook for a course in harmonic analysis

• ISBN: 978-0-8176-4890-9
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 305
• Fecha Publicación: 01/10/2009
• Nº Volúmenes: 1
• Idioma: Inglés