On Generalizations of Gowers Norms

Inspired by the definition of Gowers norms we study integrals of products of multi-variate functions. The $L_p$ norms, certain trace norms, and the Gowers norms are all defined by taking the proper root of one of these integrals. These integrals are important from a combinatorial point of view as in...

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Bibliographic Details
Main Author: Hatami, Hamed
Other Authors: Molloy, Michael
Language:en_ca
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1807/19191