Ole Christensen

Frames and Bases (eBook, PDF)

An Introductory Course

• Format: PDF

Produktbeschreibung

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.

Featuring extensive exercises, this book 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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 313
• Erscheinungstermin: 5. Juni 2008
• Englisch
• ISBN-13: 9780817646783
• Artikelnr.: 37353976

Autorenporträt

Ole Christensen, Technical University of Denmark, Lyngby, Denmark

Inhaltsangabe

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).

Rezensionen

From the reviews:

"The author's 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)