This article is cited in 4 papers

Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle

V. V. Napalkov^a, A. A. Nuyatov<sup>b

a</sup> Institute for Mathematics with Computation Center, Ufa Science Center, RAS, Ufa, Russia
^b Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, Russia

Abstract: We prove the solvability of the multipoint Vallée Poussin (interpolation) problem for the kernel of a convolution operator in the case where the zeros of the characteristic function and nodal points (zeros of an entire function) are inside an angle.

Keywords: convolution operator, multipoint Vallée Poussin problem, interpolation, Fisher pair.

Received: 13.02.2014

DOI: 10.4213/tmf8654

 English version: Theoretical and Mathematical Physics, 2014, 180:2, 983–989

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