Harmonic Analysis on Spaces of Homogeneous Type

• Κύριοι συγγραφείς: Deng, Donggao (Συγγραφέας), Han, Yongsheng (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1966
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Harmonic analysis.; Approximation theory.; Fourier analysis.; Functional analysis.; Functions of complex variables.; Functions of a Complex Variable.; Analysis.; Fourier Analysis.; Abstract Harmonic Analysis.; Functional Analysis.; Approximations and Expansions.
• Φυσική περιγραφή: XII, 160 p. online resource.
• ISBN: 9783540887454
• ISSN: 0075-8434 ;

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.