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arXiv · 1802.01743

A constrained optimization problem for the Fourier transform: Existence

Dominique Maldague
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Abstract

Among functions majorized by indicator functions of sets with measure one, which functions have maximal Fourier transforms in the $L^q$ norm? We partially prove the existence of such functions using techniques from additive combinatorics to establish a conditional precompactness for maximizing sequences.

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Dominique Maldague. 2018-02-06. A constrained optimization problem for the Fourier transform: Existence. https://arxiv.org/abs/1802.01743

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