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Frames and Bases Ole Christensen

Frames and Bases By Ole Christensen

Frames and Bases by Ole Christensen


74,29 £
Condition - New
Only 2 left

Summary

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.

Frames and Bases Summary

Frames and Bases: An Introductory Course by Ole Christensen

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.

Frames and Bases Reviews

From the reviews:

"The authors aim is to present the central ideas of frame and basis theory. the book is aimed toward graduate students in mathematics, pure and applied mathematicians, and practicing engineers." (William J. Satzer, The Mathematical Association of America, December, 2008)

Table of Contents

Frames in Finite-dimensional Inner Product Spaces.- Infinite-dimensional Vector Spaces and Sequences.- Bases.- Bases and their Limitations.- Frames in Hilbert Spaces.- B-splines.- Frames of Translates.- Shift-Invariant Systems.- Gabor Frames in L(R).- Gabor Frames in l(Z).- Wavelet Frames in L(R).

Additional information

NPB9780817646776
9780817646776
0817646779
Frames and Bases: An Introductory Course by Ole Christensen
New
Hardback
Birkhauser Boston Inc
2008-07-02
313
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Frames and Bases