Boyarchenko, Mitya; de Innocentis, Marco; Levendorskiĭ, Sergei Prices of barrier and first-touch digital options in Lévy-driven models, near barrier. (English) Zbl 1232.91647 Int. J. Theor. Appl. Finance 14, No. 7, 1045-1090 (2011). Reviewer: Weiping Li (Stillwater) MSC: 91G20 PDFBibTeX XMLCite \textit{M. Boyarchenko} et al., Int. J. Theor. Appl. Finance 14, No. 7, 1045--1090 (2011; Zbl 1232.91647) Full Text: DOI
Levendorskiĭ, Sergei Convergence of price and sensitivities in Carr’s randomization approximation globally and near barrier. (English) Zbl 1229.91316 SIAM J. Financ. Math. 2, 79-111 (2011). Reviewer: Pedro A. Morettin (São Paulo) MSC: 91G20 91G60 65T50 60K99 PDFBibTeX XMLCite \textit{S. Levendorskiĭ}, SIAM J. Financ. Math. 2, 79--111 (2011; Zbl 1229.91316) Full Text: DOI
Boyarchenko, Mitya; Levendorski, Sergei Beyond the classical Weyl and Colin de Verdière’s formulas for Schrödinger operators with polynomial magnetic and electric fields. (English) Zbl 1127.35028 Ann. Inst. Fourier 56, No. 6, 1827-1901 (2006). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35P20 35J10 22E25 81Q10 47F05 PDFBibTeX XMLCite \textit{M. Boyarchenko} and \textit{S. Levendorski}, Ann. Inst. Fourier 56, No. 6, 1827--1901 (2006; Zbl 1127.35028) Full Text: DOI arXiv Numdam EuDML
Boyarchenko, Mitya; Levendorskii, Sergei Generalizations of the classical Weyl and Colin de Verdière’s formulas and the orbit method. (English) Zbl 1378.35207 Proc. Natl. Acad. Sci. USA 102, No. 16, 5663-5668 (2005). MSC: 35P20 22E27 58J37 PDFBibTeX XMLCite \textit{M. Boyarchenko} and \textit{S. Levendorskii}, Proc. Natl. Acad. Sci. USA 102, No. 16, 5663--5668 (2005; Zbl 1378.35207) Full Text: DOI arXiv
Boyarchenko, S. I.; Levendorskij, S. Z. Spectral asymptotics of Laplacians on horns: The case of a rapidly growing counting function. (English. Russian original) Zbl 0922.35107 Funct. Anal. Appl. 32, No. 3, 198-200 (1998); translation from Funkts. Anal. Prilozh. 32, No. 3, 70-73 (1998). MSC: 35P20 35P15 35J05 PDFBibTeX XMLCite \textit{S. I. Boyarchenko} and \textit{S. Z. Levendorskij}, Funct. Anal. Appl. 32, No. 3, 198--200 (1998; Zbl 0922.35107); translation from Funkts. Anal. Prilozh. 32, No. 3, 70--73 (1998) Full Text: DOI
Levendorskij, S. Z. The Floquet theory for the Schrödinger operator with a perturbed periodic potential and precise spectral asymptotics. (English. Russian original) Zbl 1050.35508 Dokl. Math. 56, No. 1, 488-491 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 1, 21-24 (1997). Reviewer: H. Tanabe (Toyonaka) MSC: 35J10 35P20 81Q10 47F05 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Dokl. Math. 56, No. 1, 21--24 (1997; Zbl 1050.35508); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 1, 21--24 (1997)
Boyarchenko, S. I.; Levendorskij, S. Z. Precise spectral asymptotics for perturbed magnetic Schrödinger operator. (English) Zbl 0872.35073 J. Math. Pures Appl., IX. Sér. 76, No. 3, 211-236 (1997). Reviewer: S.Z.Levendorskij (Rostov-on-Don) MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{S. I. Boyarchenko} and \textit{S. Z. Levendorskij}, J. Math. Pures Appl. (9) 76, No. 3, 211--236 (1997; Zbl 0872.35073) Full Text: DOI
Levendorskij, Serge Degenerate elliptic equations. (English) Zbl 0786.35063 Mathematics and its Applications (Dordrecht). 258. Dordrecht: Kluwer Academic Publishers. xi, 431 p. (1993). Reviewer: V.S.Rabinovich (Rostov-na-Donu) MSC: 35J70 35-02 65H10 35P20 35S05 PDFBibTeX XMLCite \textit{S. Levendorskij}, Degenerate elliptic equations. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0786.35063)
Levendorskij, S. Z. Asymptotics of the spectrum of operators elliptic in the Douglis- Nirenberg sense. (English. Russian original) Zbl 0724.35079 Trans. Mosc. Math. Soc. 1990, 33-57 (1990); translation from Tr. Mosk. Mat. O.-va 52, 34-57 (1989). MSC: 35P20 35J30 35S99 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Trans. Mosc. Math. Soc. 1990, 33--57 (1990; Zbl 0724.35079); translation from Tr. Mosk. Mat. O.-va 52, 34--57 (1989)
Levendorskij, Serge Asymptotic distribution of eigenvalues of differential operators. Transl. from the Russian. (English) Zbl 0721.35049 Mathematics and Its Applications (Soviet Series), 53. Dordrecht etc.: Kluwer Academic Publishers. xviii, 279 p. Dfl. 220.00; $ 112.00; £74.00 (1990). Reviewer: L.Pastur (Khar’kov) MSC: 35P20 35-02 35Qxx 35J30 35S05 35J10 PDFBibTeX XMLCite \textit{S. Levendorskij}, Asymptotic distribution of eigenvalues of differential operators. Transl. from the Russian. Dordrecht etc.: Kluwer Academic Publishers (1990; Zbl 0721.35049)
Levendorskij, S. Z. Asymptotics of the spectrum of operators elliptic in the sense of Douglis-Nirenberg. (Russian) Zbl 0707.35112 Tr. Mosk. Mat. O.-va 52, 34-57 (1989). Reviewer: N.Vulchanov MSC: 35P20 35J30 35S99 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Tr. Mosk. Mat. O.-va 52, 34--57 (1989; Zbl 0707.35112)
Levendorskij, S. Z. Nonclassical spectral asymptotics in the case of a nonpower singularity. (English. Russian original) Zbl 0677.35078 Differ. Equations 24, No. 6, 677-682 (1988); translation from Differ. Uravn. 24, No. 6, 1021-1027 (1988). Reviewer: M.A.Perelmuter MSC: 35P20 35J70 35J30 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Differ. Equations 24, No. 6, 677--682 (1988; Zbl 0677.35078); translation from Differ. Uravn. 24, No. 6, 1021--1027 (1988)
Levendorskij, S. Z. Asymptotics of the spectrum of problems with constraints. (English. Russian original) Zbl 0615.35063 Math. USSR, Sb. 57, 77-95 (1987); translation from Mat. Sb., Nov. Ser. 129(171), No. 1, 73-89 (1986). Reviewer: Li Mingzhong MSC: 35P20 35Q99 74F15 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Math. USSR, Sb. 57, 77--95 (1987; Zbl 0615.35063); translation from Mat. Sb., Nov. Ser. 129(171), No. 1, 73--89 (1986) Full Text: DOI
Levendorskij, S. Z. Asymptotics of the spectrum of pseudodifferential operators of negative order with multiple characteristics. (English. Russian original) Zbl 0638.35065 Sov. Math., Dokl. 33, 708-711 (1986); translation from Dokl. Akad. Nauk SSSR 288, 540-543 (1986). Reviewer: K.H.Jansen MSC: 35P20 35S05 47Gxx PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sov. Math., Dokl. 33, 708--711 (1986; Zbl 0638.35065); translation from Dokl. Akad. Nauk SSSR 288, 540--543 (1986)
Levendorskij, S. Z. The approximate spectral projection method. (English) Zbl 0631.35072 Acta Appl. Math. 7, 137-197 (1986). Reviewer: J.Weidmann MSC: 35P20 35S15 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Acta Appl. Math. 7, 137--197 (1986; Zbl 0631.35072) Full Text: DOI
Levendorskij, S. Z. The method of approximate spectral projection. (English. Russian original) Zbl 0614.35021 Math. USSR, Izv. 27, 451-502 (1986); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 6, 1177-1228 (1985). Reviewer: V.Burjan MSC: 35J10 35P20 35S15 47A10 74K25 74H45 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Math. USSR, Izv. 27, 451--502 (1986; Zbl 0614.35021); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 6, 1177--1228 (1985) Full Text: DOI
Levendorskij, S. Z. Asymptotic behavior of the spectra of weakly elliptic systems of pseudodifferential operators. (English) Zbl 0598.35082 Sib. Math. J. 27, 89-99 (1986). MSC: 35P20 35J99 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sib. Math. J. 27, 89--99 (1986; Zbl 0598.35082) Full Text: DOI
Levendorskij, S. Z. The spectral asymptotics of the weakly elliptic pseudodifferential operators. (Russian) Zbl 0526.35063 Sib. Mat. Zh. 27, No. 1(155), 111-122 (1986). MSC: 35P20 35J99 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sib. Mat. Zh. 27, No. 1(155), 111--122 (1986; Zbl 0526.35063) Full Text: EuDML
Levendorskij, S. Z. On the asymptotics of the spectrum of linear pseudodifferential pencils in the degenerate case. (English. Russian original) Zbl 0611.47038 Sov. Math., Dokl. 32, 888-891 (1985); translation from Dokl. Akad. Nauk SSSR 285, 1321-1324 (1985). Reviewer: N.Vasilevski MSC: 47Gxx 35S05 35P20 47A10 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sov. Math., Dokl. 32, 888--891 (1985; Zbl 0611.47038); translation from Dokl. Akad. Nauk SSSR 285, 1321--1324 (1985)
Levendorskij, S. Z. Asymptotics of the spectra of degenerate elliptic systems in unbounded regions. (English) Zbl 0606.35061 Funct. Anal. Appl. 19, 148-150 (1985). Reviewer: N.Vulchanov MSC: 35P20 35J15 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Funct. Anal. Appl. 19, 148--150 (1985; Zbl 0606.35061) Full Text: DOI
Levendorskij, S. Z. Asymptotic behavior of the spectrum of problems of the form \(Au=tBu\) for operators that are elliptic in the Douglis-Nirenberg sense. (English. Russian original) Zbl 0556.35105 Funct. Anal. Appl. 18, 253-255 (1984); translation from Funkts. Anal. Prilozh. 18, No. 3, 84-85 (1984). MSC: 35P20 35J99 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Funct. Anal. Appl. 18, 253--255 (1984; Zbl 0556.35105); translation from Funkts. Anal. Prilozh. 18, No. 3, 84--85 (1984) Full Text: DOI
Levendorskij, S. Z. The spectral asymptotics of problems with constraints. (Russian) Zbl 0526.35064 Dokl. Akad. Nauk SSSR (to appear). MSC: 35P20 35Q30 35Q99 PDFBibTeX XML
Levendorskij, S. Z. The spectral asymptotics for the problems of the type Au=tBu for Douglis- Nirenberg elliptic operators. (Russian) Zbl 0526.35062 Funkts. Anal. Prilozh. (to appear). MSC: 35P20 35J99 PDFBibTeX XML
Levendorskij, S. Z. Spectral asymptotics of nonlinear pencils and operators with nonempty essential spectrum. (English. Russian original) Zbl 0544.35072 Sov. Math., Dokl. 28, 536-539 (1983); translation from Dokl. Akad. Nauk SSSR 272, 1314-1317 (1983). MSC: 35P20 35Q30 47A10 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sov. Math., Dokl. 28, 536--539 (1983; Zbl 0544.35072); translation from Dokl. Akad. Nauk SSSR 272, 1314--1317 (1983)
Levendorskij, S. Z. The method of approximate spectral projection as a general method for proving the classical formula for the asymptotic behavior of a spectrum. (English. Russian original) Zbl 0537.35062 Sov. Math., Dokl. 28, 78-82 (1983); translation from Dokl. Akad. Nauk SSSR 271, 287-291 (1983). MSC: 35P20 47A10 35S05 41A60 47Gxx 74K25 74H45 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sov. Math., Dokl. 28, 78--82 (1983; Zbl 0537.35062); translation from Dokl. Akad. Nauk SSSR 271, 287--291 (1983)
Levendorskij, S. Z. Quasiclassical asymptotics of the eigenvalues of systems of pseudodifferential operators. (English. Russian original) Zbl 0474.35074 Sov. Math., Dokl. 23, 27-31 (1981); translation from Dokl. Akad. Nauk SSSR 256, 32-36 (1981). MSC: 35P20 35S05 47B25 PDFBibTeX XMLCite \textit{S. Z. Levendorskij}, Sov. Math., Dokl. 23, 27--31 (1981; Zbl 0474.35074); translation from Dokl. Akad. Nauk SSSR 256, 32--36 (1981)
Levendorskij, S. Z.; Rabinovich, V. S. On exponential decay at infinity of solutions of multidimensional convolution equations in cones. (English) Zbl 0433.45002 Sov. Math. 23, No. 3, 25-29 (1979). MSC: 45E10 45M05 47B35 PDFBibTeX XMLCite \textit{S. Z. Levendorskij} and \textit{V. S. Rabinovich}, Sov. Math. 23, No. 3, 25--29 (1979; Zbl 0433.45002)
Levendorskij, S. Z.; Rabinovich, V. S. Über das exponentielle Fallen der Lösungen mehrdimensionaler Gleichungen vom Faltungstyp in Kegeln im Unendlichen. (Russian) Zbl 0411.45002 Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 3(202), 38-44 (1979). MSC: 45E10 45M05 47B35 PDFBibTeX XMLCite \textit{S. Z. Levendorskij} and \textit{V. S. Rabinovich}, Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 3(202), 38--44 (1979; Zbl 0411.45002)