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To view the abstract go to http://www.ams.org/books/memo/1119.
Hilbert transform -- Carleson Theorem -- Fourier series -- Kakeya set -- vector field -- Maximal Function -- phase plane.
"This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier anal…