Frames and Bases

An Introductory Course

By:

Ole Christensen

Format:

Hardback

Series:

Applied and Numerical Harmonic Analysis

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Description

Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. Key features include results presented in a way that is accessible to graduate students, mathematicians, and engineers; a presentation of basic results in finite-dimensional vector spaces, enabling readers with a basic knowledge of linear algebra to understand the idea behind frames without the technical complications in infinite-dimensional spaces; extensive exercises; and a detailed description of frames with full proofs, an examination of the relationship between frames and Riesz bases, and a discussion of various ways to construct frames. Frames and Bases: An Introductory Course will be an excellent textbook for graduate students as well as a good reference for researchers working in pure and applied mathematics, mathematical physics, and engineering. Practitioners working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find the book a useful self-study resource.

Release date Australia

July 2nd, 2008

Author

Ole Christensen

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

14 Illustrations, black and white; XVIII, 313 p. 14 illus.

Pages

313

Series

Applied and Numerical Harmonic Analysis

Dimensions

156x234x19

ISBN-13

9780817646776

Product ID

2593132

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