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Haar Series and Linear Operators

Name: Haar Series and Linear Operators
Brand: Springer Netherlands
SKU: 01973608
Price: 102.9 EUR
Availability: InStock
Author: I. Novikov
ISBN: 9789048146932

I. Novikov

E. Semenov

Language

English

Book Paperback

Libristo code: 01973608

Publishers Springer Netherlands, November 2009

In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar syst... Full description

Libristo code: 01973608

249 b

102.90 €

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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.