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A Basis Theory Primer

Publisher: 
Birkhäuser
Number of Pages: 
534
Price: 
84.95
ISBN: 
9780817646868
Date Received: 
Saturday, November 20, 2010
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Christopher Heil
Series: 
Applied and Numerical Harmonic Analysis
Publication Date: 
2011
Format: 
Hardcover

ANHA Series Preface.- Preface.- General Notation.- Part I. A Primer on Functional Analysis .- Banach Spaces and Operator Theory.- Functional Analysis.- Part II. Bases and Frames.- Unconditional Convergence of Series in Banach and Hilbert Spaces.- Bases in Banach Spaces.- Biorthogonality, Minimality, and More About Bases.- Unconditional Bases in Banach Spaces.- Bessel Sequences and Bases in Hilbert Spaces.- Frames in Hilbert Spaces.- Part III. Bases and Frames in Applied Harmonic Analysis.- The Fourier Transform on the Real Line.- Sampling, Weighted Exponentials, and Translations.- Gabor Bases and Frames.- Wavelet Bases and Frames.- Part IV. Fourier Series.- Fourier Series.- Basic Properties of Fourier Series.- Part V. Appendices.- Lebesgue Measure and Integration.- Compact and Hilbert–Schmidt Operators.- Hints for Exercises.- Index of Symbols.- References.- Index.

Publish Book: 
Modify Date: 
Thursday, March 10, 2011

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