A constrained optimization problem for the Fourier transform:\n Quantitative analysis

2018/02/05 by Dominique Maldague, Maldague, Dominique
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods

paper · pdf · doi:10.48550/arxiv.1802.01748

openalex publication_date 2018/02/05 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

Among functions f majorized by indicator functions 1_E, which functions\nhave maximal ratio \‖ widehatf\‖_q/|E|^1/p? We establish a quantitative\nanswer to this question for exponents q sufficiently close to even integers,\nbuilding on previous work proving the existence of such maximizers.\n

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