1. [Untitled]
- Author
-
S. Kosbegenov
- Subjects
Statistics and Probability ,Mathematics::Complex Variables ,Applied Mathematics ,General Mathematics ,Mathematical analysis ,Holomorphic function ,Boundary (topology) ,Function (mathematics) ,Identity theorem ,Measure (mathematics) ,Domain (mathematical analysis) ,Product (mathematics) ,Shilov boundary ,Mathematics - Abstract
The paper is devoted to the conditions of existence of the holomorphic expansion, in a domain D, of a function f ∈C(M) defined on a set M with a positive measure μ of the Shilov boundary S of the complete circular domain D⊂Cn. These conditions are as follows: integrals of the product of f by certain polynomials that are orthogonal holomorphic functions tend to 0.
- Published
- 2002
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