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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 42, Issue 1, Pages 115–131
DOI: https://doi.org/10.1070/IM1994v042n01ABEH001526 (Mi im890) 		 
This article is cited in 13 scientific papers (total in 13 papers)

The theorem on the least majorant and its applications.I. Entire and meromorphic functions

B. N. Khabibullin
English version PDF (920 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM1994v042n01ABEH001526
Abstract: The general concept of sweeping out is used to generalize the theorem of Koosis on the least superharmonic majorant in $\mathbb C$ to least majorants with respect to a convex cone of functions defined in a domain in $\mathbb R^k$ or $\mathbb C^n$. This generalization is applied to the description of nontrivial ideals and analytic sets of nonuniqueness of codimension 1 in algebras of entire functions, and to the representation of meromorphic functions of given growth.
Received: 24.09.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 1, Pages 129–146
Bibliographic databases:
UDC: 517.555
MSC: Primary 32A30, 32A22, 32A20, 30D99, 32E25; Secondary 31B05, 31C10, 32F05, 46E25, 30D50
Language: English
Original paper language: Russian
Citation: B. N. Khabibullin, “The theorem on the least majorant and its applications.I. Entire and meromorphic functions”, Izv. RAN. Ser. Mat., 57:1 (1993), 129–146; Russian Acad. Sci. Izv. Math., 42:1 (1994), 115–131
Citation in format AMSBIB
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\paper The theorem on the least majorant and its applications.I.~Entire and meromorphic functions
\jour Izv. RAN. Ser. Mat.
\yr 1993
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\issue 1
\pages 129--146
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 1
\pages 115--131
\crossref{https://doi.org/10.1070/IM1994v042n01ABEH001526}
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  • https://www.mathnet.ru/eng/im/v57/i1/p129
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:433
    Russian version PDF:196
    English version PDF:13
    References:43
    First page:2
     
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