Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 17, Tome 170 (1989), pp. 285-313
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S. Ya. Khavinson. Factorization of single-valued analytic functions of compact bordered Riemann surfaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 17, Tome 170 (1989), pp. 285-313. http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a15/
@article{ZNSL_1989_170_a15,
author = {S. Ya. Khavinson},
title = {Factorization of single-valued analytic functions of compact bordered {Riemann} surfaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {285--313},
year = {1989},
volume = {170},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a15/}
}
TY - JOUR
AU - S. Ya. Khavinson
TI - Factorization of single-valued analytic functions of compact bordered Riemann surfaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 285
EP - 313
VL - 170
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a15/
LA - ru
ID - ZNSL_1989_170_a15
ER -
%0 Journal Article
%A S. Ya. Khavinson
%T Factorization of single-valued analytic functions of compact bordered Riemann surfaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 285-313
%V 170
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a15/
%G ru
%F ZNSL_1989_170_a15
This paper conserus a factorization theory of single-valued analytic functions on a compact bordered Riemann surface. The basic ingradient of the theory is a new method to remove the periods of certain functions (natural analogs of Schwartz integrals and Blaschke products) along the boundary curves and crosscuts of the bundles.