This article is cited in 3 papers

Spectral synthesis and local description for several variables

I. F. Krasichkov-Ternovskii

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: The problem of spectral synthesis for subspaces of analytic functions invariant under the operators of partial differentiation is reduced to the problem of the local description of closed submodules in the module of entire functions of exponential type over the ring of polynomials.

MSC: 34L05, 34A20, 47E05

Received: 20.01.1997

DOI: 10.4213/im256

 English version: Izvestiya: Mathematics, 1999, 63:4, 729–755

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