Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type

V. M. Trutnev

Krasnoyarsk State University

Abstract: Translation invariant subspaces in the space of entire functions of exponential type of several complex variables are considered and conditions are presented under which the set of exponential polynomials is dense in such a space. In particular, necessary and sufficient conditions for the polynomial elements to be dense are obtained.

UDC: 517.55

Received: 03.06.2001
Revised: 14.04.2003

DOI: 10.4213/mzm45

 English version: Mathematical Notes, 2004, 75:3, 387–390

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