This article is cited in 2 papers

On the extension problem for solutions of homogeneous convolution equations

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University

Abstract: We construct a series of counterexamples showing the unimprovability of the hypotheses of certain results related to the extension problem in the theory of convolution equations.

Keywords: convolution equation, mean periodicity, extension problem, Fourier transform.

UDC: 517.444

MSC: 44A35, 45E10, 46F10

Received: 30.04.2009

DOI: 10.4213/im4111

 English version: Izvestiya: Mathematics, 2011, 75:3, 507–537

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