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Haar series and linear operators

Author: I I︠A︡ Novikov; E M Semenov
Publisher: Dordrecht ; Boston : Kluwer Academic, ©1997.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 367.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Online version:
Novikov, Igor.
Haar series and linear operators.
Dordrecht ; Boston : Kluwer Academic, ©1997
(OCoLC)625908970
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I I︠A︡ Novikov; E M Semenov
ISBN: 079234006X 9780792340065
OCLC Number: 34472650
Description: xv, 218 pages ; 25 cm.
Contents: Ch. 1. Preliminaries --
Ch. 2. Definition and Main Properties of the Haar System --
Ch. 3. Convergence of Haar Series --
Ch. 4. Basis Properties of the Haar System --
Ch. 5. The Unconditionality of the Haar System --
Ch. 6. The Paley Function --
Ch. 7. Fourier-Haar Coefficients --
Ch. 8. The Haar System and Martingales --
Ch. 9. Reproducibility of the Haar System --
Ch. 10. Generalized Haar Systems and Monotone Bases --
Ch. 11. Haar System Rearrangements --
Ch. 12. Fourier-Haar Multipliers --
Ch. 13. Pointwise Estimates of Multipliers --
Ch. 14. Estimates of Multipliers in L[subscript 1] --
Ch. 15. Subsequences of the Haar System --
Ch. 16. Criterion of Equivalence of the Haar and Franklin Systems in R.I. Spaces --
Ch. 17. Olevskii Systems.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 367.
Responsibility: by Igor Novikov and Evgenij Semenov.
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Abstract:

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  Read more...

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` ... this book will prove useful to the specialist. The reviewer is happy to put it on his shelf along with the other references in dyadic harmonic analysis. He plans to use it when the need Read more...

 
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