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Izv. RAN. Ser. Mat., 1993, Volume 57, Issue 1, Pages 147–166 (Mi izv891)  
This article is cited in 3 scientific papers (total in 3 papers)

Generalized meromorphic functions

S. A. Grigoryan


Abstract: Zero sets of generalized analytic functions in the Arens–Singer sense are investigated. It is proved that each generalized meromorphic function can be factored in the weak sense. At the end of the paper a question on factorization of almost periodic meromorphic functions is answered.

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English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1994, 42:1, 133–147

Bibliographic databases:

UDC: 517.986
MSC: Primary 30G30, 30D30, 32A30; Secondary 43A60
Received: 28.05.1991

Citation: S. A. Grigoryan, “Generalized meromorphic functions”, Izv. RAN. Ser. Mat., 57:1 (1993), 147–166; Russian Acad. Sci. Izv. Math., 42:1 (1994), 133–147

Citation in format AMSBIB
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\by S.~A.~Grigoryan
\paper Generalized meromorphic functions
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 1
\pages 147--166
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1220585}
\zmath{https://zbmath.org/?q=an:0801.30039}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..42..133G}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 1
\pages 133--147
\crossref{https://doi.org/10.1070/IM1994v042n01ABEH001527}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1994NH32100007}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. A. Grigoryan, “Generalized analytic functions”, Russian Math. Surveys, 49:2 (1994), 1–40  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. S. A. Grigoryan, “The divisor of a generalized analytic function”, Math. Notes, 61:5 (1997), 547–552  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. A. R. Mirotin, M. A. Romanova, “Interpolation sets for the algebra of generalized analytic functions”, Russian Math. (Iz. VUZ), 51:3 (2007), 46–54  mathnet  crossref  mathscinet  zmath  elib
    		• Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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