Haar Series and Linear Operators

Front Cover
Springer Netherlands, Jan 31, 1997 - Mathematics - 224 pages
0 Reviews
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Definition and Main Properties of the Haar System
15
The Unconditionally of the Haar System
33
FourierHaar Coefficients
51
Copyright

9 other sections not shown

Other editions - View all

Common terms and phrases

Bibliographic information