Fourier tranform in exponential rearrangement invariant spaces

2004/06/20 by E. Ostrovsky, Eugeny Ostrovsky, Ostrovsky, E. +2
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Probability (math.PR) #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.math/0406391

18 pages, no figures

arxiv created 2004/06/20 · openalex publication_date 2004/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we investigate the Fourier series and transforms for the functions defined on the [0, 2 π]^ d or R^d and belonging to the exponential Orlicz and some other rearrangement invariant (r.i.) spaces.

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