Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics) - Couverture souple

Livre 8 sur 20: Lecture Notes in Mathematics

Deng, Donggao

 
9783540887447: Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 354088744X ISBN 13 : 9783540887447
Editeur : Springer, 2008

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
354088744X
ISBN 13 
9783540887447
Reliure
Broché
Nombre de pages
176
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Autres éditions populaires du même titre

9783540889342: Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics)

Edition présentée

ISBN 10 :  3540889345 ISBN 13 :  9783540889342
Editeur : Springer, 2009
Couverture souple