Geodesic
Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators
Serdica Mathematical Journal, Tome 31 (2005) no. 1-2, pp. 95-174 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'article

In this paper classes of K^r -operators are considered – the classes of bounded and unbounded operators A with equal domains of A and A*, finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A* and with real absolutely continuous spectra. Their triangular models are presented. The asymptotics of the corresponding continuous curves with generators from these classes are obtained in an explicit form. With the help of the obtained asymptotics the scattering theory for the couples (A*, A) when A belongs to the introduced classes is constructed.
Keywords: Unbounded Operator, Operator Colligation, Characteristic Function, Nondissipative Curve, Correlation Function, Wave Operator, Scattering Operator 
@article{SMJ2_2005_31_1-2_a3,
     author = {Kirchev, Kiril and Borisova, Galina},
     title = {Triangular {Models} and {Asymptotics} of {Continuous} {Curves} with {Bounded} and {Unbounded} {Semigroup} {Generators}},
     journal = {Serdica Mathematical Journal},
     pages = {95--174},
     year = {2005},
     volume = {31},
     number = {1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2005_31_1-2_a3/}
}
TY  - JOUR
AU  - Kirchev, Kiril
AU  - Borisova, Galina
TI  - Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators
JO  - Serdica Mathematical Journal
PY  - 2005
SP  - 95
EP  - 174
VL  - 31
IS  - 1-2
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2005_31_1-2_a3/
LA  - en
ID  - SMJ2_2005_31_1-2_a3
ER  - 
%0 Journal Article
%A Kirchev, Kiril
%A Borisova, Galina
%T Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators
%J Serdica Mathematical Journal
%D 2005
%P 95-174
%V 31
%N 1-2
%U http://geodesic.mathdoc.fr/item/SMJ2_2005_31_1-2_a3/
%G en
%F SMJ2_2005_31_1-2_a3
Kirchev, Kiril; Borisova, Galina. Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators. Serdica Mathematical Journal, Tome 31 (2005) no. 1-2, pp. 95-174. http://geodesic.mathdoc.fr/item/SMJ2_2005_31_1-2_a3/