ENGLISH

Haar Series and Linear Operators

By Igor Novikov , Evgenij Semenov (auth.)

Book information

Publisher
Springer Netherlands
Year
1997
ISBN
0-7923-4006-X
DOI
10.1007/978-94-017-1726-7
Language
english
Format
DJVU
Filesize
2 MB (2456911 bytes)
Series
Mathematics and Its Applications 367
Edition
1
Pages
224\230
Library
mexmat
Time added
2014-10-05 02:30:00
Real Functions; Approximations and Expansions; Fou

Description

In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar system is a complete orthonormal system on [0,1] and the Fourier-Haar series for arbitrary continuous function converges uniformly to this function. This volume is devoted to the investigation of the Haar system from the operator theory point of view. The main subjects treated are: classical results on unconditional convergence of the Haar series in modern presentation; Fourier-Haar coefficients; reproducibility; martingales; monotone bases in rearrangement invariant spaces; rearrangements and multipliers with respect to the Haar system; subspaces generated by subsequences of the Haar system; the criterion of equivalence of the Haar and Franklin systems. Audience: This book will be of interest to graduate students and researchers whose work involves functional analysis and operator theory.

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