Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 76-94
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V. N. Dubinin; L. V. Kovalev. The reduced modulus of the complex sphere. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 76-94. http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a4/
@article{ZNSL_1998_254_a4,
author = {V. N. Dubinin and L. V. Kovalev},
title = {The reduced modulus of the complex sphere},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {76--94},
year = {1998},
volume = {254},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a4/}
}
TY - JOUR
AU - V. N. Dubinin
AU - L. V. Kovalev
TI - The reduced modulus of the complex sphere
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1998
SP - 76
EP - 94
VL - 254
UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a4/
LA - ru
ID - ZNSL_1998_254_a4
ER -
%0 Journal Article
%A V. N. Dubinin
%A L. V. Kovalev
%T The reduced modulus of the complex sphere
%J Zapiski Nauchnykh Seminarov POMI
%D 1998
%P 76-94
%V 254
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a4/
%G ru
%F ZNSL_1998_254_a4
The paper continues studies of reduced modules of open sets. A notion of reduced module of the complex sphere is introduced, a formula for this module is obtained, and a number of its properties are proved. Applications of the reduced module of the sphere to various problems in geometric function theory are given.