Convolution with the kernel e^{s⟨ x⟩q}, q≥ 1, s>0 within ultradistribution spaces

2021/06/06 by Stevan Pilipović, Pilipović, Stevan, Bojan Prangoski +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2106.03265

openalex publication_date 2021/06/06 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We consider the existence of convolution of Roumieu type ultradistribution with the kernel e^s(1+|x|²)^q/2, q≥ 1, s∈\RR\backslash\0\.

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