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✦   LIBER   ✦

Harmonic Analysis on Spaces of Homogeneous Type

✍ Scribed by Donggao Deng, Yongsheng Han (auth.)

Book ID
127453568
Publisher
Springer
Year
2009
Tongue
English
Weight
1 MB
Edition
1
Category
Library
City
Berlin
ISBN
3540887458
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ 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 CalderΓ³n-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.

✦ Subjects

Partial Differential Equations

πŸ“œ SIMILAR VOLUMES

Harmonic Analysis on Homogeneous Spaces
Harmonic Analysis on Homogeneous Spaces
✍ A.A. Kirillov, G.van Dijk, A.U. Klimyk, A.U. Klimyk, V.F. Molchanov, V.F. Molcha πŸ“‚ Library πŸ“… 1995 πŸ› Springer 🌐 English βš– 1 MB

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists