01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
12.06.1963
E-mail:
Keywords:
nonstationary scattering theory; Lax–Phillips scattering theory; extension theory of Hermitian operators; operator theory in spaces with indefinite metric.
Main publications:
Kuzhel A. V., Kuzhel S. A. Regular Extensions of Hermitian Operators, VSP, Utrecht, 1998.
S. A. Kuzhel, “On inverse problem in the Lax–Phillips scattering scheme for a class of operator-differential equations”, Algebra i Analiz, 13:1 (2001), 60–83; St. Petersburg Math. J., 13:1 (2002), 41–56
S. A. Kuzhel, “Elements of Nonstationary Scattering Theory for a Class of Operator-Differential Equations”, Funktsional. Anal. i Prilozhen., 34:3 (2000), 77–81; Funct. Anal. Appl., 34:3 (2000), 223–225
3.
S. A. Kuzhel, “On the Determination of Free Evolution in the Lax–Phillips Scattering Scheme for Second-Order Operator-Differential Equations”, Mat. Zametki, 68:6 (2000), 854–861; Math. Notes, 68:6 (2000), 724–729
S. A. Kuzhel, “An Abstract Lax–Phillips Scattering Theory for a Class of Second-Order Equations”, Funktsional. Anal. i Prilozhen., 30:1 (1996), 70–73; Funct. Anal. Appl., 30:1 (1996), 54–56
S. A. Kuzhel, “Abstract scattering scheme of Lax and Phillips in Pontryagin spaces”, Mat. Sb., 187:10 (1996), 87–108; Sb. Math., 187:10 (1996), 1503–1523
S. A. Kuzhel, “$J$-self-adjoint and $J$-unitary dilations of linear operators”, Funktsional. Anal. i Prilozhen., 17:1 (1983), 75–76; Funct. Anal. Appl., 17:1 (1983), 60–61
S. A. Kuzhel, L. I. Rudenko, “Description of regular extensions of Hermitian operators”, Funktsional. Anal. i Prilozhen., 16:1 (1982), 74–75; Funct. Anal. Appl., 16:1 (1982), 61–62