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[Untitled]
- Source :
- Journal of Mathematical Sciences. 109:1726-1731
- Publication Year :
- 2002
- Publisher :
- Springer Science and Business Media LLC, 2002.
-
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.
- 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
Subjects
Details
- ISSN :
- 10723374
- Volume :
- 109
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........8ef884bc5a8cc6c37bece81957b92458
- Full Text :
- https://doi.org/10.1023/a:1014338000005