Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 849-856
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Yu. S. Markelov. A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 849-856. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a6/
@article{MZM_1973_13_6_a6,
author = {Yu. S. Markelov},
title = {A~formula for the generalized resolvent of an isometric operator for the exterior of the unit disk},
journal = {Matemati\v{c}eskie zametki},
pages = {849--856},
year = {1973},
volume = {13},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a6/}
}
TY - JOUR
AU - Yu. S. Markelov
TI - A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk
JO - Matematičeskie zametki
PY - 1973
SP - 849
EP - 856
VL - 13
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a6/
LA - ru
ID - MZM_1973_13_6_a6
ER -
%0 Journal Article
%A Yu. S. Markelov
%T A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk
%J Matematičeskie zametki
%D 1973
%P 849-856
%V 13
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a6/
%G ru
%F MZM_1973_13_6_a6
In this note we establish the relationship between characteristic functions and generalized resolvents of isometric operators for the exterior of the unit disk. A certain sufficient condition is given in terms of characteristic functions that the form of the formula for the generalized resolvent be preserved across the unit circle.
