Główczyk, Anna; Kużel, Sergiusz On the \(S\)-matrix of Schrödinger operator with nonlocal \(\delta\)-interaction. (English) Zbl 07376800 Opusc. Math. 41, No. 3, 413-435 (2021). MSC: 47B25 47A40 PDF BibTeX XML Cite \textit{A. Główczyk} and \textit{S. Kużel}, Opusc. Math. 41, No. 3, 413--435 (2021; Zbl 07376800) Full Text: DOI arXiv OpenURL
Rozumenko, O. V. On the scattering problem for the L. de Branges functional model. (Russian. English summary) Zbl 1164.47307 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 826, No. 58, 100-114 (2008). MSC: 47A40 PDF BibTeX XML Cite \textit{O. V. Rozumenko}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 826, No. 58, 100--114 (2008; Zbl 1164.47307) OpenURL
Kuzhel’, S. A. On conditions for the applicability of the Lax-Phillips scattering scheme to the investigation of an abstract wave equation. (Ukrainian, English) Zbl 1100.47521 Ukr. Mat. Zh. 55, No. 5, 621-630 (2003); translation in Ukr. Math. J. 55, No. 5, 749-760 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 47N20 35L90 47A40 47D06 PDF BibTeX XML Cite \textit{S. A. Kuzhel'}, Ukr. Mat. Zh. 55, No. 5, 621--630 (2003; Zbl 1100.47521); translation in Ukr. Math. J. 55, No. 5, 749--760 (2003) Full Text: DOI OpenURL
Kuzhel’, S. A. On the determination of free evolution in the Lax-Phillips scattering scheme for second-order operator-differential equations. (English. Russian original) Zbl 1011.47010 Math. Notes 68, No. 6, 724-729 (2000); translation from Mat. Zametki 68, No. 6, 854-861 (2000). MSC: 47A40 35P25 34L25 35L05 47A55 PDF BibTeX XML Cite \textit{S. A. Kuzhel'}, Math. Notes 68, No. 6, 724--729 (2000; Zbl 1011.47010); translation from Mat. Zametki 68, No. 6, 854--861 (2000) Full Text: DOI OpenURL
Kuzhel, S. A. Free evolution in the Lax-Phillips scheme for second-order operator differential equations. (English. Russian original) Zbl 0948.47011 J. Math. Sci., New York 103, No. 2, 278-280 (2001); translation from Din. Sist., Simferopol’ 15, 182-187 (1999). Reviewer: I.T.Selezov (Kyïv) MSC: 47A40 34L25 35P25 81U20 PDF BibTeX XML Cite \textit{S. A. Kuzhel}, Din. Sist., Simferopol' 15, 182--187 (1999; Zbl 0948.47011); translation from Din. Sist., Simferopol' 15, 182--187 (1999) OpenURL
Kuzhil’, S. A. On the structure of incoming and outgoing subspaces for a wave equation in \(\mathbb R^n\). (English. Ukrainian original) Zbl 0942.47008 Ukr. Math. J. 51, No. 5, 787-792 (1999); translation from Ukr. Mat. Zh. 51, No. 5, 708-712 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A40 35P25 35L05 PDF BibTeX XML Cite \textit{S. A. Kuzhil'}, Ukr. Mat. Zh. 51, No. 5, 708--712 (1999; Zbl 0942.47008); translation from Ukr. Mat. Zh. 51, No. 5, 708--712 (1999) Full Text: DOI OpenURL
Kuzhel, Sergey A. On some properties of abstract wave equation. (English) Zbl 0940.47007 Methods Funct. Anal. Topol. 3, No. 1, 82-88 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A40 47B25 35L05 PDF BibTeX XML Cite \textit{S. A. Kuzhel}, Methods Funct. Anal. Topol. 3, No. 1, 82--88 (1997; Zbl 0940.47007) OpenURL
Kuzhel, A. Characteristic functions and models of nonself-adjoint operators. (English) Zbl 0927.47005 Mathematics and its Applications (Dordrecht). 349. Dordrecht: Kluwer Academic Publishers. ix, 272 p. (1996). Reviewer: Yu.M.Arlinskii (MR 97e:47014) MSC: 47A45 47B15 47-02 47A40 34L25 35P25 PDF BibTeX XML Cite \textit{A. Kuzhel}, Characteristic functions and models of nonself-adjoint operators. Dordrecht: Kluwer Academic Publishers (1996; Zbl 0927.47005) OpenURL
Kuzhel’, S. A. On an abstract scheme of Lax-Phillips scattering for second order operator-differential equations. (Ukrainian) Zbl 0891.47008 Ukr. Mat. Zh. 48, No. 4, 452-463 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A40 34G10 47B25 PDF BibTeX XML Cite \textit{S. A. Kuzhel'}, Ukr. Mat. Zh. 48, No. 4, 452--463 (1996; Zbl 0891.47008) Full Text: DOI OpenURL
Kuzhel’, S. A. Abstract Lax-Phillips scattering scheme for second-order operator-differential equations. (English. Ukrainian original) Zbl 0932.47005 Ukr. Math. J. 48, No. 4, 502-515 (1996); translation from Ukr. Mat. Zh. 48, No. 4, 452-463 (1996). MSC: 47A40 34G10 47B25 PDF BibTeX XML Cite \textit{S. A. Kuzhel'}, Ukr. Mat. Zh. 48, No. 4, 452--463 (1996; Zbl 0932.47005); translation from Ukr. Mat. Zh. 48, No. 4, 452--463 (1996) Full Text: DOI OpenURL
Kuzhel, S. A. Lax-Phillips abstract scattering scheme in Pontryagin spaces. (English) Zbl 0900.47006 Z. Angew. Math. Mech. 76, Suppl. 2, 587-588 (1996). MSC: 47A40 81U20 PDF BibTeX XML Cite \textit{S. A. Kuzhel}, Z. Angew. Math. Mech. 76, 587--588 (1996; Zbl 0900.47006) OpenURL
Zolotarev, V. A. A functional model for the Lie algebra \(\text{ISO} (1,1)\) of linear non-self-adjoint operators. (English. Russian original) Zbl 0854.47006 Sb. Math. 186, No. 1, 79-106 (1995); translation from Mat. Sb. 186, No. 1, 79-106 (1995). MSC: 47A45 47A40 47A20 47A56 47B38 47B44 PDF BibTeX XML Cite \textit{V. A. Zolotarev}, Sb. Math. 186, No. 1, 79--106 (1995; Zbl 0854.47006); translation from Mat. Sb. 186, No. 1, 79--106 (1995) Full Text: DOI OpenURL
Motovilov, A. K. Reformulation of the Lax-Phillips approach in terms of stationary scattering theory. (English. Russian original) Zbl 0820.47006 Theor. Math. Phys. 98, No. 2, 167-180 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 248-265 (1994). MSC: 47A40 81U10 PDF BibTeX XML Cite \textit{A. K. Motovilov}, Theor. Math. Phys. 98, No. 2, 1 (1994; Zbl 0820.47006); translation from Teor. Mat. Fiz. 98, No. 2, 248--265 (1994) Full Text: DOI OpenURL
Kuzhel, S. A. About Lax-Phillips scattering theory in Pontryagin spaces. (Ukrainian. English summary) Zbl 0806.47008 Dopov. Akad. Nauk Ukr. 1993, No. 4, 19-23 (1993). MSC: 47A40 46C20 PDF BibTeX XML Cite \textit{S. A. Kuzhel}, Dopov. Akad. Nauk Ukr. 1993, No. 4, 19--23 (1993; Zbl 0806.47008) OpenURL
Zolotarev, V. A. Time cones and a functional model on a Riemann surface. (English. Russian original) Zbl 0738.47009 Math. USSR, Sb. 70, No. 2, 399-429 (1991); translation from Mat. Sb. 181, No. 7, 965-994 (1990). MSC: 47A45 47A20 47A40 47A67 47D06 PDF BibTeX XML Cite \textit{V. A. Zolotarev}, Math. USSR, Sb. 70, No. 2, 399--429 (1991; Zbl 0738.47009); translation from Mat. Sb. 181, No. 7, 965--994 (1990) Full Text: DOI OpenURL
Kuzhel’, A. V.; Tret’yakov, D. V. On a generalization of the Lax-Phillips scheme in scattering theory. (Russian. English summary) Zbl 0538.47008 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 2, 19-21 (1982). MSC: 47A40 PDF BibTeX XML Cite \textit{A. V. Kuzhel'} and \textit{D. V. Tret'yakov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 2, 19--21 (1982; Zbl 0538.47008) OpenURL