О разложении в ряды экспонент функций, аналитических на выпуклых локально замкнутых множествах | Zendy

S.N. Melikhov | Zendy; S. Momm | Zendy

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О разложении в ряды экспонент функций, аналитических на выпуклых локально замкнутых множествах

Author(s) -

S.N. Melikhov,

S. Momm

Publication year - 2011

Publication title -

владикавказский математический журнал

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.126

H-Index - 2

eISSN - 1814-0807

pISSN - 1683-3414

DOI - 10.23671/vnc.2011.1.11350

Subject(s) - mathematics , inverse , bounded function , representation (politics) , bounded operator , linear map , operator (biology) , exponential function , pure mathematics , algebra over a field , combinatorics , discrete mathematics , mathematical analysis , geometry , biochemistry , chemistry , repressor , politics , political science , transcription factor , law , gene

Let Qbe a bounded, convex, locally closed subset of CN with nonempty interior. For N>1 sufficient conditions are obtained that an operator of the representation of analytic functions on Q by exponential series has a continuous linear right inverse. For N=1 the criterions for the existence of a continuous linear right inverse for the representation operator are proved.

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