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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 827–840
DOI: https://doi.org/10.4213/mzm230 (Mi mzm230) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Completeness of the System of Values of a Holomorphic Vector Function in Fréchet Spaces

V. P. Gromov

Orel State University
Full-text PDF (242 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm230
Abstract: We establish necessary and sufficient conditions for the system of values of a holomorphic vector function to be complete in a Fréchet space. The results obtained are illustrated by several examples.
Received: 30.11.1999
Revised: 10.10.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 783–795
DOI: https://doi.org/10.1023/A:1024093528517
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: V. P. Gromov, “Completeness of the System of Values of a Holomorphic Vector Function in Fréchet Spaces”, Mat. Zametki, 73:6 (2003), 827–840; Math. Notes, 73:6 (2003), 783–795
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm230
  • https://www.mathnet.ru/eng/mzm/v73/i6/p827
    • This publication is cited in the following 3 articles:
    1. B. N. Khabibullin, E. G. Kudasheva, “Polnota eksponentsialnykh sistem v prostranstvakh funktsii v terminakh ploschadi”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 233, VINITI RAN, M., 2024, 107–117  mathnet  crossref
    2. S. N. Mishin, “Invariance of the Order and Type of a Sequence of Operators”, Math. Notes, 100:3 (2016), 429–437  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. S. V. Panyushkin, “Generalized Fourier transform and its applications”, Math. Notes, 79:4 (2006), 537–550  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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