Laptev, Ari; Schimmer, Lukas; Takhtajan, Leon A. Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves. (English) Zbl 1361.47004 Geom. Funct. Anal. 26, No. 1, 288-305 (2016). Reviewer: Sergey Ludkovsky (Moskva) MSC: 47B25 47A10 47B39 14H81 39A70 14J30 14J32 PDFBibTeX XMLCite \textit{A. Laptev} et al., Geom. Funct. Anal. 26, No. 1, 288--305 (2016; Zbl 1361.47004) Full Text: DOI arXiv
Gesztesy, F.; Mitrea, M.; Sukhtaiev, S.; Laptev, A. A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets. (English) Zbl 1339.35202 Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 3-29 (2015). MSC: 35P20 47F05 35J30 35J40 81Q10 35J05 35P15 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., in: Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10--13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific. 3--29 (2015; Zbl 1339.35202) Full Text: DOI arXiv
Laptev, A.; Solomyak, M. On the negative spectrum of the two-dimensional Schrödinger operator with radial potential. (English) Zbl 1253.35037 Commun. Math. Phys. 314, No. 1, 229-241 (2012). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35J10 35P20 PDFBibTeX XMLCite \textit{A. Laptev} and \textit{M. Solomyak}, Commun. Math. Phys. 314, No. 1, 229--241 (2012; Zbl 1253.35037) Full Text: DOI arXiv
Laptev, A.; Sigal, I. M. Global Fourier integral operators and semiclassical asymptotics. (English) Zbl 0962.35201 Rev. Math. Phys. 12, No. 5, 749-766 (2000). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35S30 35Q40 81Q05 PDFBibTeX XMLCite \textit{A. Laptev} and \textit{I. M. Sigal}, Rev. Math. Phys. 12, No. 5, 749--766 (2000; Zbl 0962.35201) Full Text: DOI
Laptev, A.; Robert, D.; Safarov, Yu. Remarks on the paper of V. Guillemin and K. Okikiolu: “Subprincipal terms in Szegő estimates”. (English) Zbl 0917.58046 Math. Res. Lett. 5, No. 1-2, 57-61 (1998). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J40 58J50 35P15 35P20 PDFBibTeX XMLCite \textit{A. Laptev} et al., Math. Res. Lett. 5, No. 1--2, 57--61 (1998; Zbl 0917.58046) Full Text: DOI
Birman, Mikhail Sh.; Laptev, Ari “Non-standard” spectral asymptotics for a two-dimensional Schrödinger operator. (English) Zbl 0910.35086 Greiner, Peter C. (ed.) et al., Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12–23, 1995. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 12, 9-16 (1997). Reviewer: J.Rákosník (Praha) MSC: 35P20 35J10 35P15 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{A. Laptev}, in: Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12--23, 1995. Providence, RI: American Mathematical Society. 9--16 (1997; Zbl 0910.35086)
Birman, Mikhail Sh.; Laptev, Ari Discrete spectrum of the perturbed Dirac operator. (English) Zbl 0822.35104 Ark. Mat. 32, No. 1, 13-32 (1994). MSC: 35P20 35Q40 35S05 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{A. Laptev}, Ark. Mat. 32, No. 1, 13--32 (1994; Zbl 0822.35104) Full Text: DOI
Laptev, Ari Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant. (English) Zbl 0795.35071 Proc. Am. Math. Soc. 119, No. 2, 481-488 (1993). Reviewer: A.Martinez (Villetaneuse) MSC: 35P20 35J10 81Q10 PDFBibTeX XMLCite \textit{A. Laptev}, Proc. Am. Math. Soc. 119, No. 2, 481--488 (1993; Zbl 0795.35071) Full Text: DOI
Laptev, A. A. Spectral asymptotics of a class of Fourier integral operators. (English) Zbl 0535.47030 Trans. Mosc. Math. Soc. 1983, No. 1, 101-127 (1983). MSC: 47Gxx 58J40 47A10 35S05 35P20 PDFBibTeX XMLCite \textit{A. A. Laptev}, Trans. Mosc. Math. Soc. 1983, No. 1, 101--127 (1983; Zbl 0535.47030)
Laptev, A. A. Spectral asymptotics of a certain class of Fourier integral operators. (Russian) Zbl 0503.47044 Tr. Mosk. Mat. O.-va 43, 92-115 (1981). MSC: 47Gxx 58J40 47A10 PDFBibTeX XMLCite \textit{A. A. Laptev}, Tr. Mosk. Mat. O.-va 43, 92--115 (1981; Zbl 0503.47044)
Laptev, A. A. On an estimate of the remainder term in formulas of the spectral asymptotics for one class of integral operators. (Russian) Zbl 0443.47051 Probl. Mat. Anal. 6, 67-72 (1977). MSC: 47Gxx 47A10 45E10 PDFBibTeX XMLCite \textit{A. A. Laptev}, Probl. Mat. Anal. 6, 67--72 (1977; Zbl 0443.47051)
Laptev, A. A. Spectral asymptotics of a composition of pseudodifferential operators and reflections from the boundary. (English. Russian original) Zbl 0391.47035 Sov. Math., Dokl. 18(1977), 1273-1276 (1978); translation from Dokl. Akad. Nauk SSSR 236, 800-803 (1977). MSC: 47Gxx PDFBibTeX XMLCite \textit{A. A. Laptev}, Sov. Math., Dokl. 18, 1273--1276 (1977; Zbl 0391.47035); translation from Dokl. Akad. Nauk SSSR 236, 800--803 (1977)