ISSN 1683-3414 (Print)   •   ISSN 1814-0807 (Online)
   Log in
 

Contacts

Address: Markusa st. 22, Vladikavkaz,
362027, RNO-A, Russia
Phone: (8672)50-18-06
E-mail: rio@smath.ru

 

 

 

Яндекс.Метрика

DOI: 10.23671/VNC.2011.1.11350

On the expansions of analytic functions on convex locally closed sets in exponential series

Melikhov S. N. , Momm S.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 1.
Abstract:
Let \(Q\) be a bounded, convex, locally closed subset of \({\mathbb C}^N\) 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.
Keywords: locally closed set, analytic functions, exponential series, continuous linear right inverse.
Language: Russian Download the full text  
For citation: Melikhov S. N., Momm S. On the expansions of analytic functions on convex locally closed sets† in exponential series. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], 2011, vol. 13, no. 1, pp. 44-58. DOI 10.23671/VNC.2011.1.11350


← Contents of issue
 
  | Home | Editorial board | Publication ethics | Peer review guidelines | Current | Archive | Rules for authors |  
© 1999-2022 ёжный математический институт