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Classical Fourier Analysis
Lecture, three hours. Requisites: courses 245A, 245B, 246A. Distribution on Rn and Tn. Principal values; other examples. Distributions with submanifolds as supports. Kernel theorem. Convolution; examples of singular integrals. Tempered distributions and Fourier transform theory on Rn. Distributions with compact or one-sided supports and their complex Fourier transforms.
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