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Albeverio, Sergio; Karabash, Illya M.
Generic asymptotics of resonance counting function for Schrödinger point interactions. (English) Zbl 1453.35057
Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer. Oper. Theory: Adv. Appl. 276, 80-93 (2020).
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
MSC:  35J10 35B34 35P20 05C90 81Q37 81Q80
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\textit{S. Albeverio} and \textit{I. M. Karabash}, Oper. Theory: Adv. Appl. 276, 80--93 (2020; Zbl 1453.35057)
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Adamyan, V. M.
Zero-range potentials with internal structure and solvable models. (English) Zbl 1448.35123
Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer. Oper. Theory: Adv. Appl. 276, 33-36 (2020).
Reviewer: Michael Perelmuter (Kyïv)
MSC:  35J10
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\textit{V. M. Adamyan}, Oper. Theory: Adv. Appl. 276, 33--36 (2020; Zbl 1448.35123)
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Borisov, Denis Ivanovich; Konyrkulzhaeva, Maral Nurlanovna
Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum. (Russian. English summary) Zbl 07281240
Ufim. Mat. Zh. 11, No. 2, 56-71 (2019); translation in Ufa Math. J. 11, No. 2, 56-70 (2019).
MSC:  34B45 34L40 34L15
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\textit{D. I. Borisov} and \textit{M. N. Konyrkulzhaeva}, Ufim. Mat. Zh. 11, No. 2, 56--71 (2019; Zbl 07281240); translation in Ufa Math. J. 11, No. 2, 56--70 (2019)
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Konechnaya, N. N.; Mirzoev, K. A.; Shkalikov, A. A.
On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. (English. Russian original) Zbl 1403.34060
Math. Notes 104, No. 2, 244-252 (2018); translation from Mat. Zametki 104, No. 2, 231-242 (2018).
MSC:  34L10 34D05 34B09 47E05
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\textit{N. N. Konechnaya} et al., Math. Notes 104, No. 2, 244--252 (2018; Zbl 1403.34060); translation from Mat. Zametki 104, No. 2, 231--242 (2018)
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Bartels, Casey; Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce Alastair
Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation. (English) Zbl 1409.34035
Integral Equations Oper. Theory 90, No. 3, Paper No. 34, 20 p. (2018).
Reviewer: Natalia Bondarenko (Saratov)
MSC:  34B24 34B08 34A36 34B27
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\textit{C. Bartels} et al., Integral Equations Oper. Theory 90, No. 3, Paper No. 34, 20 p. (2018; Zbl 1409.34035)
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Kritskov, L. V.
Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution. (English. Russian original) Zbl 1370.34143
Differ. Equ. 53, No. 2, 180-191 (2017); translation from Differ. Uravn. 53, No. 2, 183-194 (2017).
Reviewer: Adrian Petruşel (Cluj-Napoca)
MSC:  34L10
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\textit{L. V. Kritskov}, Differ. Equ. 53, No. 2, 180--191 (2017; Zbl 1370.34143); translation from Differ. Uravn. 53, No. 2, 183--194 (2017)
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Richard, S.
Levinson’s theorem: an index theorem in scattering theory. (English) Zbl 06981835
Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29990-7/hbk; 978-3-319-29992-1/ebook). Operator Theory: Advances and Applications 254, 149-203 (2016).
MSC:  47A40 19K56 81U05
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\textit{S. Richard}, Oper. Theory: Adv. Appl. 254, 149--203 (2016; Zbl 06981835)
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Mukminov, F. Kh.; Gadyl’shin, T. R.
A boundary value problem for a second-order nonlinear equation with delta-like potential. (English. Russian original) Zbl 1360.34046
Proc. Steklov Inst. Math. 292, Suppl. 1, S216-S230 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 177-190 (2015).
Reviewer: Anna Capietto (Torino)
MSC:  34B15 34E10 34E05
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\textit{F. Kh. Mukminov} and \textit{T. R. Gadyl'shin}, Proc. Steklov Inst. Math. 292, S216--S230 (2016; Zbl 1360.34046); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 177--190 (2015)
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Teufel, Stefan; Tumulka, Roderich
Avoiding ultraviolet divergence by means of interior-boundary conditions. (English) Zbl 1338.81296
Finster, Felix (ed.) et al., Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 – October 2, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-26900-9/hbk; 978-3-319-26902-3/ebook). 293-311 (2016).
MSC:  81T15 81T10 81Q10 35F16 35Q41
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\textit{S. Teufel} and \textit{R. Tumulka}, in: Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 -- October 2, 2014. Cham: Birkhäuser/Springer. 293--311 (2016; Zbl 1338.81296)
Full Text: DOI arXiv
Gradusov, V. A.; Yakovlev, S. L.
Schrödinger operator with a superposition of short-range and point potentials. (English. Russian original) Zbl 1327.81196
Theor. Math. Phys. 183, No. 1, 527-539 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 90-104 (2015).
MSC:  81Q10 35J10 35J08
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\textit{V. A. Gradusov} and \textit{S. L. Yakovlev}, Theor. Math. Phys. 183, No. 1, 527--539 (2015; Zbl 1327.81196); translation from Teor. Mat. Fiz. 183, No. 1, 90--104 (2015)
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Buryachenko, K. O.; Harabara, A. I.
Solvability of the Neumann problem in a disk for fourth order properly elliptic equations. (Ukrainian, English) Zbl 1349.35096
Mat. Metody Fiz.-Mekh. Polya 57, No. 1, 7-17 (2014); translation in J. Math. Sci., New York 212, No. 1, 1-15 (2016).
Reviewer: V. V. Vlasov (Moscow)
MSC:  35J30 31A30 31B30
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\textit{K. O. Buryachenko} and \textit{A. I. Harabara}, Mat. Metody Fiz.-Mekh. Polya 57, No. 1, 7--17 (2014; Zbl 1349.35096); translation in J. Math. Sci., New York 212, No. 1, 1--15 (2016)
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Guseinov, I. M.; Mammadova, L. I.
Reconstruction of the diffusion equation with singular coefficients for two spectra. (English. Russian original) Zbl 1418.34047
Dokl. Math. 90, No. 1, 401-404 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 13-16 (2014).
MSC:  34B07 34A55 81U15
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\textit{I. M. Guseinov} and \textit{L. I. Mammadova}, Dokl. Math. 90, No. 1, 401--404 (2014; Zbl 1418.34047); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 13--16 (2014)
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