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Real Harmonic Analysis : Lectures by Pascal Auscher with the assistance of Lashi Bandara - Pascal Auscher

Real Harmonic Analysis

Lectures by Pascal Auscher with the assistance of Lashi Bandara

By: Pascal Auscher, Lashi Bandara

Paperback | 1 February 2012

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This book presents the material covered in graduate lectures delivered at The Australian National University in 2010. Real Harmonic Analysis originates from the seminal works of Zygmund and Calderon, pursued by Stein, Weiss, Fefferman, Coifman, Meyer and many others. Moving from the classical periodic setting to the real line, then to higher dimensional Euclidean spaces and finally to, nowadays, sets with minimal structures, the theory has reached a high level of applicability. This is why it is called real harmonic analysis: the usual exponential functions have disappeared from the picture. Set and function decomposition prevail.

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