Harmonic Analysis on Spaces of Homogeneous Type

Donggao Deng (u. a.)

ISBN 10: 354088744X / ISBN 13: 9783540887447

Verlag: Springer, 2008

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[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 101691327

Inhaltsangabe:

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.

Von der hinteren Coverseite:

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.

Bibliografische Details

Titel: Harmonic Analysis on Spaces of Homogeneous ...
Verlag: Springer
Erscheinungsdatum: 2008
Einband: Taschenbuch
Zustand: Neu