9783540887447 - Harmonic Analysis on Spaces of Homogeneous Type (lecture Notes in Mathematics, 1966) by Deng, Donggao; Han, Yongsheng (15 results)
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Published by Springer 2008-12-05, 2008
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Published by Springer Verlag, 2008
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Taschenbuch. Condition: Neu. 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.
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Taschenbuch. Condition: Neu. Harmonic Analysis on Spaces of Homogeneous Type | Donggao Deng (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xii | Englisch | 2008 | Springer | EAN 9783540887447 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[d…ot]com | Anbieter: preigu.
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Published by Springer Berlin Heidelberg Nov 2008, 2008
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 give…n 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. 176 pp. Englisch.
Language: English
Published by Springer, Springer Vieweg Nov 2008, 2008
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 176 pp. Englisch.
