适合人群:Mathematicians, Researchers in Functional Analysis, Graduate Students in Mathematics, Academics specializing in Harmonic Analysis, Enthusiasts of Advanced Mathematics
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 CalderA3n-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.
Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics)分类索引数据信息
ISBN:9783540887447
出版日期:2008-12-05 适合人群:Mathematicians, Researchers in Functional Analysis, Graduate Students in Mathematics, Academics specializing in Harmonic Analysis, Enthusiasts of Advanced Mathematics