Email this article Singular Generalized Analytic Functions
- Authors: Giorgadze G.1, Jikia V.2, Makatsaria G.3
-
Affiliations:
- Iv. Javakhishvili Tbilisi State University
- I. Vekua Institute of Applied Mathematics, Tbilisi State University
- Saint Andrew The First-Called Georgian University of Patriarchate of Georgia
- Issue: Vol 237, No 1 (2019)
- Pages: 30-109
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242298
- DOI: https://doi.org/10.1007/s10958-019-4143-7
- ID: 242298
Cite item
Open Access
Access granted
Subscription Access
Abstract
In this paper, we consider solution spaces for some class of singular elliptic systems on Riemann surfaces and boundary-value problems for solution spaces of such systems. We also discuss some relations for the kernels of the Carleman–Vekua equation. In particular, representations of these kernels in the form of generalized power functions are completely analogous to the classical Cauchy kernel expansion. The obtained results are applied to some problems of the theory of generalized analytic functions.
About the authors
G. Giorgadze
Iv. Javakhishvili Tbilisi State University
Author for correspondence.
Email: gia.giorgadze@tsu.ge
Georgia, Tbilisi
V. Jikia
I. Vekua Institute of Applied Mathematics, Tbilisi State University
Email: gia.giorgadze@tsu.ge
Georgia, Tbilisi
G. Makatsaria
Saint Andrew The First-Called Georgian University of Patriarchate of Georgia
Email: gia.giorgadze@tsu.ge
Georgia, Tbilisi
Supplementary files
