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Matematicheskie Zametki, 2004, Volume 75, Issue 3, Pages 421–424
DOI: https://doi.org/10.4213/mzm45 (Mi mzm45) 		 
Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type

V. M. Trutnev

Krasnoyarsk State University
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DOI: https://doi.org/10.4213/mzm45
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.
Received: 03.06.2001
Revised: 14.04.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 3, Pages 387–390
DOI: https://doi.org/10.1023/B:MATN.0000023317.50105.73
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: V. M. Trutnev, “Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type”, Mat. Zametki, 75:3 (2004), 421–424; Math. Notes, 75:3 (2004), 387–390
Citation in format AMSBIB
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