Articoli correlati a An Introduction to Frames and Riesz Bases
Sinossi
The theory for frames and bases has developed rapidly in recent years because of its role as a mathematical tool in signal and image processing. This is the first comprehensive book to focus on the general properties and interplay of frames and Riesz bases, emphasizing their mathematical aspects. Rich in exercises, applications, and open problems, the work is aimed at graduate students and researchers in pure and applied mathematics, math physics, and engineering. Minimal prerequisites also make the book accessible to professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
The theory for frames and bases has developed rapidly in recent years because of its role as a mathematical tool in signal and image processing. In this self-contained work, frames and Riesz bases are presented from a functional analytic point of view, emphasizing their mathematical properties. This is the first comprehensive book to focus on the general properties and interplay of frames and Riesz bases, and thus fills a gap in the literature.
Key features:
* Basic results presented in an accessible way for both pure and applied mathematicians
* Extensive exercises make the work suitable as a textbook for use in graduate courses
* Full proofs included in introductory chapters; only basic knowledge of functional analysis required
* Explicit constructions of frames with applications and connections to time-frequency analysis, wavelets, and nonharmonic Fourier series
* Selected research topics presented with recommendations for more advanced topics and further reading
* Open problems to simulate further research
An Introduction to Frames and Riesz Basis will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreBirkhäuser
- Data di pubblicazione2013
- ISBN 10 1461265002
- ISBN 13 9781461265009
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine468
- Contatto del produttorenon disponibile
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An Introduction to Frames and Riesz Bases
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Basic results presented in an accessible way for both pure and applied mathematiciansExtensive exercises make the work suitable as a textbook for use in graduate coursesFull proofs included in introductory chapters only basic knowledge of . Codice articolo 4189150
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An Introduction to Frames and Riesz Bases (Applied and Numerical Harmonic Analysis)
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An Introduction to Frames and Riesz Bases
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har monic analysis to basic applications. The title of the series reflects the im portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them. Codice articolo 9781461265009
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An Introduction to Frames and Riesz Bases
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