Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 557-568
Citer cet article
L. A. Simakova. On real and “symplectic” meromorphic plus-matrix-function and corresponding linear fractional transformation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 557-568. http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a7/
@article{JMAG_2003_10_4_a7,
author = {L. A. Simakova},
title = {On real and {\textquotedblleft}symplectic{\textquotedblright} meromorphic plus-matrix-function and corresponding linear fractional transformation},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {557--568},
year = {2003},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a7/}
}
TY - JOUR
AU - L. A. Simakova
TI - On real and “symplectic” meromorphic plus-matrix-function and corresponding linear fractional transformation
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2003
SP - 557
EP - 568
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a7/
LA - ru
ID - JMAG_2003_10_4_a7
ER -
%0 Journal Article
%A L. A. Simakova
%T On real and “symplectic” meromorphic plus-matrix-function and corresponding linear fractional transformation
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 557-568
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a7/
%G ru
%F JMAG_2003_10_4_a7
The basic result is: if linear fractional transformation with meromorphic in the unit disk nondegenerate matrix of coefficients $A(z)$ maps the class of holomorphic contractive matrix function into itself so that real (symmetric) matrix functions are transformed into real (symmetric) matrix functions then there exists a mеromorphic scalar function $\rho(z)$ such that $\rho^{-1}(z) A(z)$ is $j$-expansive real (“symplectic” or “antisymplectic”) matrix function.
