On Connection between Characterestic Functions and the Caratheodori Class Functions

Zolotarev, Vladimir A., and Hatamleh, Raéd. "On Connection between Characterestic Functions and the Caratheodori Class Functions." Serdica Mathematical Journal 32.4 (2006): 289-302. <http://eudml.org/doc/281453>.

@article{Zolotarev2006,
abstract = {2000 Mathematics Subject Classification: 47A65, 45S78.Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces.},
author = {Zolotarev, Vladimir A., Hatamleh, Raéd},
journal = {Serdica Mathematical Journal},
keywords = {Characterestic Function; Caratheodori Class Function; Colligation; Homographic Transformation; characteristic function; Caratheodory class function; colligation; homographic transformation},
language = {eng},
number = {4},
pages = {289-302},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Connection between Characterestic Functions and the Caratheodori Class Functions},
url = {http://eudml.org/doc/281453},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Zolotarev, Vladimir A.
AU - Hatamleh, Raéd
TI - On Connection between Characterestic Functions and the Caratheodori Class Functions
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 4
SP - 289
EP - 302
AB - 2000 Mathematics Subject Classification: 47A65, 45S78.Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces.
LA - eng
KW - Characterestic Function; Caratheodori Class Function; Colligation; Homographic Transformation; characteristic function; Caratheodory class function; colligation; homographic transformation
UR - http://eudml.org/doc/281453
ER -