A Panorama of Harmonic Analysis

Steven G. Krantz. The Mathematical Association of America, Washington, DC, 1999

Yes, it is really a panorama of harmonic analysis. I feel much more confident about harmonic analysis after reading the book, although I cannot understand nearly half of the contents. It seems that the key topics in the classical harmonic analysis are several convergence theorems. Despite of the technical difficulties to grasp the details, the basic ideas are not too difficult. I also feel much more comfortable with the L^p space, which once was so abstruse to me.

The book closed with a discussion about wavelet, and regards wavelet as the reinvent of the Fourier analysis. I also understand more about wavelet, and want to apply wavelet to my research in some recent day.

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~ by zkwzju on 2010/05/13.

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