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Found 325 Documents (Results 1–100)

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Eigenfunctions of ordinary differential Euler operators. (English. Russian original) Zbl 07283006

J. Math. Sci., New York 252, No. 2, 125-134 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 3-12 (2018).
MSC:  47E05 34L10 34B30
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Higher-order Bessel equations integrable in elementary functions. (English. Russian original) Zbl 07123796

J. Math. Sci., New York 241, No. 4, 379-395 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 140, 3-17 (2017).
MSC:  47E05 34L10 34B30
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Self-adjoint boundary conditions for the prolate spheroid differential operator. (English) Zbl 1471.47031

Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 357-386 (2018).
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WKB and resurgence in the Mathieu equation. (English) Zbl 1414.81105

Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 249-298 (2017).
MSC:  81Q10 81Q20 34B30
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Perturbation of the Hill operator by narrow potentials. (English. Russian original) Zbl 1385.34060

Russ. Math. 61, No. 7, 1-10 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3-13 (2017).
MSC:  34L40 34L05 34D10
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The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential. (English. Russian original) Zbl 1441.47054

Sb. Math. 208, No. 1, 1-43 (2017); translation from Mat. Sb. 208, No. 1, 3-47 (2017).
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Integration of a loaded Korteweg-de Vries equation in a class of periodic functions. (English. Russian original) Zbl 1342.35315

Russ. Math. 60, No. 2, 72-76 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 2, 87-92 (2016).
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Riesz basis property of Hill operators with potentials in weighted spaces. (English. Russian original) Zbl 1369.47055

Trans. Mosc. Math. Soc. 2014, 151-172 (2014); translation from Tr. Mosk. Mat. O.-va 75, No. 2, 181-204 (2014).
MSC:  47E05 34L40 34L10
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Periodic differential operators. (English) Zbl 1267.34001

Operator Theory: Advances and Applications 230. Basel: Birkhäuser (ISBN 978-3-0348-0527-8/hbk; 978-3-0348-0528-5/ebook). viii, 216 p. (2013).
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Smoothness of Hill’s potential and lengths of spectral gaps. (English) Zbl 1270.34199

Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 469-479 (2012).
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On the HELP inequality for Hill operators on trees. (English) Zbl 1258.34173

Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 21-36 (2012).
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On the supersymmetric spectra of two planar integrable quantum systems. (English) Zbl 1248.81065

Acosta-Humánez, Primitivo B. (ed.) et al., Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Providence, RI: American Mathematical Society (AMS); Bogota: Instituto de Matemáticas y sus Aplicaciones (IMA). (ISBN 978-0-8218-7584-1/pbk). Contemporary Mathematics 563, 73-113 (2012).
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