Orthogonal Series

Download or Read eBook Orthogonal Series PDF written by B. S. Kashin and published by American Mathematical Soc.. This book was released on 2005-04-26 with total page 468 pages. Available in PDF, EPUB and Kindle.

Author	: B. S. Kashin
Publisher	: American Mathematical Soc.
Total Pages	: 468
Release	: 2005-04-26
ISBN-10	: 082189823X
ISBN-13	: 9780821898239
Rating	: 4/5 (3X Downloads)

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Book Synopsis Orthogonal Series by : B. S. Kashin

Book excerpt: Introductory concepts and some general results Independent functions and their first applications The Haar system Some results on the trigonometric and Walsh systems The Hilbert transform and some function spaces The Faber-Schauder and Franklin systems Orthogonalization and factorization theorems Theorems on the convergence of general orthogonal series General theorems on the divergence of orthogonal series Some theorems on the representation of functions by orthogonal series

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"Investigate various forms of convergence of Fourier series in general orthonormal systems as well as certain problems in the theory of bases" -- Introduction.