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Sinopsis
The dramatic changes that came about in analysis during the twentieth century are truly amazing. In the thirties, complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. No group structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conducting the analysis. The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose.
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The dramatic changes that came about in analysis during the twentieth century are truly amazing.
In the thirties, complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. No group structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conducting the analysis.
The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose.
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Harmonic Analysis on Spaces of Homogeneous Type.
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Berlin, Springer., 2009
ISBN 10: 354088744X
ISBN 13: 9783540887447
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Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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Gr.-8°. XII, 154 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped/gestempelt. Book may have slight wear to the edges. Lecture Notes in Mathematics, Vol. 1966. Sprache: Englisch. Nº de ref. del artículo: 5089DB
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Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics, 1966)
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Condición: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Nº de ref. del artículo: Z1-A-012-02628
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Harmonic Analysis On Spaces Of Homogeneous Type (Pb)
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Condición: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-75986
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Harmonic Analysis On Spaces Of Homogeneous Type
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Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics, 1966)
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Harmonic Analysis on Spaces of Homogeneous Type
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Springer Berlin Heidelberg Nov 2008, 2008
ISBN 10: 354088744X
ISBN 13: 9783540887447
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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 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. 176 pp. Englisch. Nº de ref. del artículo: 9783540887447
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Harmonic Analysis on Spaces of Homogeneous Type
Publicado por
Springer Berlin Heidelberg, 2008
ISBN 10: 354088744X
ISBN 13: 9783540887447
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783540887447
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Harmonic Analysis On Spaces Of Homogeneous Type (Pb 2008)
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Harmonic Analysis on Spaces of Homogeneous Type
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PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783540887447
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Harmonic Analysis on Spaces of Homogeneous Type
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Springer Berlin Heidelberg, 2008
ISBN 10: 354088744X
ISBN 13: 9783540887447
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