@article{JMAG_2010_6_2_a2,
author = {V. A. Zolotarev},
title = {Properties of characteristic function of commutative system of unbounded nonselfadjoint operators},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {192--228},
year = {2010},
volume = {6},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2010_6_2_a2/}
}
TY - JOUR AU - V. A. Zolotarev TI - Properties of characteristic function of commutative system of unbounded nonselfadjoint operators JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2010 SP - 192 EP - 228 VL - 6 IS - 2 UR - http://geodesic.mathdoc.fr/item/JMAG_2010_6_2_a2/ LA - en ID - JMAG_2010_6_2_a2 ER -
V. A. Zolotarev. Properties of characteristic function of commutative system of unbounded nonselfadjoint operators. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 2, pp. 192-228. http://geodesic.mathdoc.fr/item/JMAG_2010_6_2_a2/
[1] M. S. Livs̆ic, “On One Class of Linear Operators in Hilbert Space”, Mat. Sb., 19(61):2 (1946), 239–262 | MR | Zbl
[2] A. V. Kuzhel, “On the Reduction of Unbounded Nonselfadjoint Operators to the Triangular Form”, DAN SSSR, 119:5 (1958), 868–871 (Russian) | MR | Zbl
[3] A. Kuzhel, Characteristic Functions and Models of Nonselfadjoint Operator, Kluwer Acad. Publ., Dordrecht–London, 1996 | MR | Zbl
[4] A. V. Shtraus, “Characteristic Functions of Linear Operators”, Izv. AN SSSR. Ser. Mat., 24:1 (1960), 43–74 (Russian) | MR | Zbl
[5] E. R. Tsekanovskiy, Yu. L. Shmul'yan, “Matters of the Expansion Theory of Unbounded Operators in Framed Hilbert Spaces”, Itogi Nauki. Mat. Analiz, 14, VINITI, 1977, 59–100 (Russian) | MR | Zbl
[6] V. A. Derkach, M. M. Malamud, “Generalized Resolvents and the Boundary Value Problems for Hermitian Operators with Gaps”, J. Funct. Anal., 95:1 (1991), 1–95 | DOI | MR | Zbl
[7] B. S. Pavlov, “Spectral Analysis of Dissipative Shrödinger Operator in Terms of Functional Model”, Itogi Nauki. Sovr. Probl. Mat., Fund. Napravl., 65, VINITI, 1991, 95–163 (Russian) | MR
[8] M. S. Livs̆ic, N. Kravitsky, A. Markus, V. Vinnikov, Theory of Commuting Nonselfadjoint Operators, Kluwer Acad. Publ., Dordrecht–London, 1996 | MR
[9] V. A. Zolotarev, “Time Cones and Functional Model on Riemann Surface”, Mat. Sb., 181:7 (1990), 965–994 (Russian) | MR | Zbl
[10] V. A. Zolotarev, Analitic Methods of Spectral Representations of Nonselfadjoint and Nonunitary Operators, MagPress, Kharkov, 2003 (Russian)
[11] V. A. Zolotarev, “On Commutative Systems of Nonselfadjoint Unbounded Linear Operators”, J. Math. Phys., Anal., Geom., 5 (2009), 275–279 | MR