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Found 54 Documents (Results 1–54)

\(j\)-self-adjointness conditions for Jacobi matrices and Schrödinger and Dirac operators with point interactions. (English. Russian original) Zbl 07550611

Math. Notes 111, No. 6, 970-976 (2022); translation from Mat. Zametki 111, No. 6, 940-946 (2022).
MSC:  47B36 34L40 81Q10
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On the discreteness of the spectrum of matrix Schrödinger and Dirac operators with point interactions. (English. Russian original) Zbl 07455576

Math. Notes 110, No. 6, 960-966 (2021); translation from Mat. Zametki 110, No. 6, 932-938 (2021).
MSC:  47B36 34L40
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On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions. (English. Russian original) Zbl 1441.47037

Math. Notes 106, No. 6, 1008-1013 (2019); translation from Mat. Zametki 106, No. 6, 940-945 (2019).
MSC:  47B36 34L40 47A08
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To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions. (English. Russian original) Zbl 1494.47071

Dokl. Math. 97, No. 2, 115-121 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 2, 117-125 (2018).
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On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems. (English. Russian original) Zbl 1323.34094

Dokl. Math. 90, No. 2, 556-561 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 255-260 (2014).
MSC:  34L10 34L40
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On the completeness of systems of root vectors for first-order systems: application to the Regge problem. (English. Russian original) Zbl 1304.34143

Dokl. Math. 88, No. 3, 678-683 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 3, 256-261 (2013).
MSC:  34L10
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Schrödinger operators with point interactions and radial positive definite functions. (English. Russian original) Zbl 1281.35012

Dokl. Math. 87, No. 1, 83-87 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 5, 510-514 (2013).
MSC:  35J10 47B37
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Positive definite functions and spectral properties of the Schrödinger operator with point interactions. (English. Russian original) Zbl 1244.47040

Math. Notes 90, No. 1, 149-154 (2011); translation from Mat. Zametki 90, No. 1, 151-156 (2011).
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Trace formulae for dissipative and coupled scattering systems. (English) Zbl 1175.47008

Behrndt, Jussi (ed.) et al., Spectral theory in inner product spaces and applications. Papers of the 6th workshop on operator theory in Krein spaces and operator polynomials, TU Berlin, Germany, December 14–17, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8910-9/hbk). Operator Theory: Advances and Applications 188, 49-85 (2009).
MSC:  47A40 47A55 47B44
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Spectral theory of operator measures in Hilbert space. (English. Russian original) Zbl 1076.47001

St. Petersbg. Math. J. 15, No. 3, 323-373 (2004); translation from Algebra Anal. 15, No. 3, 1-77 (2003).
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