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The book explores fundamental concepts of function spaces and operators, emphasizing both continuous and discrete perspectives. It introduces Fourier and Window Fourier Transforms, leading to the development of the Wavelet transform. Key discussions include multiresolution representation and its significance in function discretization and wavelet construction, providing a comprehensive foundation for understanding these essential mathematical tools.
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From Fourier Analysis to Wavelets, Luiz Velho, Jonas Gomes
- Language
- Released
- 2015
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- (Hardcover)
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- Title
- From Fourier Analysis to Wavelets
- Language
- English
- Authors
- Luiz Velho, Jonas Gomes
- Publisher
- Springer International Publishing
- Released
- 2015
- Format
- Hardcover
- Pages
- 224
- ISBN13
- 9783319220741
- Category
- Mathematics
- Description
- The book explores fundamental concepts of function spaces and operators, emphasizing both continuous and discrete perspectives. It introduces Fourier and Window Fourier Transforms, leading to the development of the Wavelet transform. Key discussions include multiresolution representation and its significance in function discretization and wavelet construction, providing a comprehensive foundation for understanding these essential mathematical tools.