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Sbornik: Mathematics, 1999, Volume 190, Issue 4, Pages 481–499
DOI: https://doi.org/10.1070/sm1999v190n04ABEH000388 (Mi sm388) 		 
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
English version PDF (456 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/sm1999v190n04ABEH000388
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
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 4, Pages 3–22
DOI: https://doi.org/10.4213/sm388
Bibliographic databases:
UDC: 517.53
MSC: Primary 46E10, 45E10; Secondary 30D15
Language: English
Original paper language: Russian
Citation: N. F. Abuzyarova, “A property of subspaces admitting spectral synthesis”, Mat. Sb., 190:4 (1999), 3–22; Sb. Math., 190:4 (1999), 481–499
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:438
    Russian version PDF:210
    English version PDF:14
    References:60
    First page:2
     
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