A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases

Download or read book Orthogonal Series 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. 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