Lectures on Harmonic Analysis (University Lecture Series)

This text is based on a graduate course in Fourier analysis taught at the California Institute of Technology in the Spring of 2000. After covering standard background material involving the Fourier transform, convolution, the inversion theorem, and the Hausdorff-Young inequality in the first four chapters, the text describes the uncertainty principle and the stationary phase method. The text then turns its attention to current research topics, including distance sets, Fourier transforms of singular measures, and work connected with the Kakeya problem. Annotation (c) Book News, Inc., Portland, OR (booknews.com)