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.
發表於2024-09-12
Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics) 2024 pdf epub mobi 電子書 下載
圖書標籤: 調和分析 實分析7 實分析5
Harmonic Analysis on Spaces of Homogeneous Type (Lecture Notes in Mathematics) 2024 pdf epub mobi 電子書 下載