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Uniform basis property of root vector systems of Dirac operators. (English. Russian original) Zbl 07542529

J. Math. Sci., New York 260, No. 4, 570-582 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 180-193 (2018).
MSC:  34L40 34L10
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Resonances for the Dirac operator on the half-line. (English. Russian original) Zbl 07503294

Funct. Anal. Appl. 55, No. 4, 326-329 (2021); translation from Funkts. Anal. Prilozh. 55, No. 4, 91-94 (2021).
MSC:  34A55 34L40
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Hierarchical Schrödinger type operators: the case of locally bounded potentials. (English) Zbl 1490.34105

Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 43-89 (2021).
MSC:  34L05 34L40 46A19
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Trace formulas for the modified Mathieu equation. (English) Zbl 07438907

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 427-443 (2021).
MSC:  47E05 34E05
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Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. (English. Russian original) Zbl 1486.34169

Dokl. Math. 103, No. 1, 47-49 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 56-58 (2021).
MSC:  34L40 34B24
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Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications. (English. Russian original) Zbl 1472.34123

Russ. Math. 65, No. 5, 69-76 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 5, 89-97 (2021).
MSC:  34K08 34L40
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Spectral properties of the Dirac operator on the real line. (English. Russian original) Zbl 1470.34233

Differ. Equ. 57, No. 2, 139-147 (2021); translation from Differ. Uravn. 57, No. 2, 153-161 (2021).
MSC:  34L40 34L05
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The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and of the eigenfunctions of the absolutely continuous spectrum. (English. Russian original) Zbl 1455.81044

J. Math. Sci., New York 252, No. 5, 567-575 (2021); translation from Zap. Nauchn. Semin. POMI 483, 5-18 (2019).
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Direct and inverse scattering for the matrix Schrödinger equation. (English) Zbl 1460.34004

Applied Mathematical Sciences 203. Cham: Springer (ISBN 978-3-030-38430-2/hbk; 978-3-030-38433-3/pbk; 978-3-030-38431-9/ebook). xiii, 624 p. (2021).
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Regular boundary value problems for the Dirac operator. (English. Russian original) Zbl 1486.34167

Dokl. Math. 101, No. 3, 214-217 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 49-53 (2020).
MSC:  34L10 34L40 34B09
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On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations. (Russian. English translation) Zbl 1474.34597

Ufim. Mat. Zh. 12, No. 4, 3-19 (2020); translation in Ufa Math. J., No. 4, 3-18 (2020).
MSC:  34L05 34L40 34L15
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