Harmonic Analysis on Spaces of Homogeneous Type

Language: English

Published by Springer, 2008

354088744X / 9783540887447

Series: Book 8 of 20 - Lecture Notes in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book could have been entitled 'Analysis and Geometry.' The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie y. The rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.…

Seller Inventory # 9783540887447

Title
Harmonic Analysis on Spaces of Homogeneous Type
Author
Yongsheng Han
Publisher
Springer
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
354088744X
ISBN 13
9783540887447
Item weight
277 grams
Dimensions
235x155x10 mm
Series
Book 8 of 20: Lecture Notes in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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