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Generalization of weierstrass canonical integrals
- Source :
- Open Mathematics, Vol 2, Iss 4, Pp 593-604 (2004)
- Publication Year :
- 2004
- Publisher :
- De Gruyter, 2004.
-
Abstract
- In this paper we prove that a subharmonic function in R m of flnite ‚-type can be represented (within some subharmonic function) as the sum of a generalized Weierstrass canonical integral and a function of flnite ‚-type which tends to zero uniformly on compacts of R m . The known Brelot-Hadamard representation of subharmonic functions in R m of flnite order can be obtained as a corollary from this result. Moreover, some properties of R-remainders of ‚-admissible mass distributions are investigated. c
- Subjects :
- Pure mathematics
Subharmonic function
Weierstrass functions
weierstrass canonical integral
Generalization
General Mathematics
Mathematical analysis
Zero (complex analysis)
Function (mathematics)
brelot-hadamard representation
Number theory
subharmonic function of finite λ-type
31b05
QA1-939
Order (group theory)
subharmonic function
Fine topology
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 2
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Open Mathematics
- Accession number :
- edsair.doi.dedup.....5eb722807fbad43d9000e68d0d4aba2c