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Introduction of ten lectures on wavelet
The title of the book was published by Dobb, translated by Li Jianping and Yang Wannian, and the Chinese version was published by National Defense Industry Press in 2004. TenLecturesonWavelets, formerly known as TenlectureSonWavelets, is a classic mathematical work about wavelets, which is highly praised by the great French mathematician YMeyer, the main founder of wavelet analysis theory. This book consists of ten chapters. Chapter 1 summarizes wavelet transform, chapter 2 introduces continuous wavelet transform, chapter 3 introduces discrete wavelet transform and framework, chapter 4 introduces time-frequency density and orthogonal basis, chapter 5 introduces orthogonal wavelet basis and multi-resolution analysis, chapter 6 introduces compactly supported orthogonal wavelet and subband coding, chapter 7 introduces regularity of compactly supported wavelet, chapter 8 introduces symmetry of compactly supported wavelet, and chapter 9 introduces function space where Fourier transform is not applicable. Chapter 10 introduces the universal theory and skills of orthogonal wavelet bases.