This article is cited in 2 papers

On Fourier transforms of functions of bounded type in tubular domains

F. A. Shamoyan

Bryansk State University, Bryansk, Russia

Abstract: We obtain a necessary and sufficient condition in terms of the Fourier transform under which an analytic function of bounded type in a tubular domain belongs to the Hardy class $H^1(\mathbb C^n_+)$.

Keywords: function of bounded type, weight function, Fourier transform, tubular domain.

UDC: 517.53

Received: 15.12.2015

DOI: 10.17377/smzh.2016.57.617

 English version: Siberian Mathematical Journal, 2016, 57:6, 1100–1116

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