Treffer: ON DISCRETE WEAKLY SUFFICIENT SETS IN CERTAIN SPACES OF ENTIRE FUNCTIONS: On discrete weakly sufficient sets in certain spaces of entire functions
Title:
ON DISCRETE WEAKLY SUFFICIENT SETS IN CERTAIN SPACES OF ENTIRE FUNCTIONS: On discrete weakly sufficient sets in certain spaces of entire functions
Authors:
Source:
Mathematics of the USSR-Izvestiya. 19:349-357
Publisher Information:
Steklov Mathematical Institute, 1982.
Publication Year:
1982
Subject Terms:
Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), Representations of entire functions of one complex variable by series and integrals, discrete weakly sufficient sets, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, Spaces defined by inductive or projective limits (LB, LF, etc.), Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, entire functions of exponential type
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
ISSN:
0025-5726
DOI:
10.1070/im1982v019n02abeh001421
Access URL:
Accession Number:
edsair.doi.dedup.....e8b9d66e0973dfa4bf44cebabefcb35f
Database:
OpenAIRE
Weitere Informationen
This article contains a study of weakly sufficient sets in a certain space of entire functions of exponential type. The following is a consequence of the results obtained: If D is an infinite convex domain, then there exists a system (which is minimal in a certain sense) such that any analytic function in D can be represented by a series of the form . For bounded convex domains an analogous result was obtained previously by Leont'ev. Bibliography: 10 titles.