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This article is cited in 7 scientific papers (total in 7 papers)
A property of subspaces admitting spectral synthesis
N. F. Abuzyarova Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
Let $H$ be the space of holomorphic functions in a convex domain $G\subset\mathbb C$. The following result is established: each closed subspace $W\subset H$ that is invariant with respect to the operator of differentiation and admits spectral synthesis can be represented as the solution set of two (possibly coinciding) homogeneous convolution equations.
Received: 05.05.1998
Citation:
N. F. Abuzyarova, “A property of subspaces admitting spectral synthesis”, Sb. Math., 190:4 (1999), 481–499
Linking options:
https://www.mathnet.ru/eng/sm388https://doi.org/10.1070/sm1999v190n04ABEH000388 https://www.mathnet.ru/eng/sm/v190/i4/p3
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Abstract page: | 462 | Russian version PDF: | 213 | English version PDF: | 18 | References: | 65 | First page: | 2 |
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