Plamenevskii, B. A.; Poretskii, A. S. The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium. (English. Russian original) Zbl 1519.35311 St. Petersbg. Math. J. 34, No. 4, 635-693 (2023); translation from Algebra Anal. 34, No. 4, 107-187 (2022). MSC: 35Q61 78A50 78A40 78A45 35B40 35A01 35A02 35P99 PDFBibTeX XMLCite \textit{B. A. Plamenevskii} and \textit{A. S. Poretskii}, St. Petersbg. Math. J. 34, No. 4, 635--693 (2023; Zbl 1519.35311); translation from Algebra Anal. 34, No. 4, 107--187 (2022) Full Text: DOI
Hilberdink, T.; Pushnitski, A. Spectral asymptotics for a family of LCM matrices. (English) Zbl 07709469 St. Petersbg. Math. J. 34, No. 3, 463-481 (2023) and Algebra Anal. 34, No. 3, 207-231 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 11C20 PDFBibTeX XMLCite \textit{T. Hilberdink} and \textit{A. Pushnitski}, St. Petersbg. Math. J. 34, No. 3, 463--481 (2023; Zbl 07709469) Full Text: DOI arXiv
Suleimanov, B. I. Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1508.37081 St. Petersbg. Math. J. 33, No. 6, 995-1009 (2022); translation from Algebra Anal. 33, No. 6, 141-161 (2021). MSC: 37J65 34M55 34M25 34M30 34M56 35Q55 81S08 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, St. Petersbg. Math. J. 33, No. 6, 995--1009 (2022; Zbl 1508.37081); translation from Algebra Anal. 33, No. 6, 141--161 (2021) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. H. On a mathematical model of a repressilator. (English. Russian original) Zbl 1498.92087 St. Petersbg. Math. J. 33, No. 5, 797-828 (2022); translation from Algebra Anal. 33, No. 5, 80-124 (2021). MSC: 92C42 92D10 34B45 34D15 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., St. Petersbg. Math. J. 33, No. 5, 797--828 (2022; Zbl 1498.92087); translation from Algebra Anal. 33, No. 5, 80--124 (2021) Full Text: DOI
Sharov, E. B.; Sheipak, I. A. Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues. (English. Russian original) Zbl 1506.34108 St. Petersbg. Math. J. 33, No. 4, 697-709 (2022); translation from Algebra Anal. 33, No. 4, 155-172 (2021). Reviewer: Andreas Fleige (Dortmund) MSC: 34L05 34B09 47B36 34L15 PDFBibTeX XMLCite \textit{E. B. Sharov} and \textit{I. A. Sheipak}, St. Petersbg. Math. J. 33, No. 4, 697--709 (2022; Zbl 1506.34108); translation from Algebra Anal. 33, No. 4, 155--172 (2021) Full Text: DOI
Fedotov, A. A. Complex WKB method for a system of two linear difference equations. (English. Russian original) Zbl 1493.39022 St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A45 39A10 39A12 39A06 34M30 34M60 PDFBibTeX XMLCite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 33, No. 2, 405--425 (2022; Zbl 1493.39022); translation from Algebra Anal. 33, No. 2, 298--326 (2021) Full Text: DOI
Rozenblum, G. Eigenvalue asymptotics for polynomially compact pseudodifferential operators. (English) Zbl 07491000 St. Petersbg. Math. J. 33, No. 2, 341-353 (2022) and Algebra Anal. 33, No. 2, 215-232 (2021). MSC: 47A75 58J50 PDFBibTeX XMLCite \textit{G. Rozenblum}, St. Petersbg. Math. J. 33, No. 2, 341--353 (2022; Zbl 07491000) Full Text: DOI
Nazarov, S. A.; Taskinen, J. Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain. (English. Russian original) Zbl 1485.35310 St. Petersbg. Math. J. 33, No. 2, 283-325 (2022); translation from Algebra Anal. 33, No. 2, 136-196 (2021). MSC: 35P20 35B25 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, St. Petersbg. Math. J. 33, No. 2, 283--325 (2022; Zbl 1485.35310); translation from Algebra Anal. 33, No. 2, 136--196 (2021) Full Text: DOI
Lyalinov, M. A.; Zhu, N. Y. Scattering of a surface wave in a polygonal domain with impedance boundary. (English) Zbl 1492.74088 St. Petersbg. Math. J. 33, No. 2, 255-282 (2022) and Algebra Anal. 33, No. 2, 98-135 (2021). MSC: 74J20 PDFBibTeX XMLCite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, St. Petersbg. Math. J. 33, No. 2, 255--282 (2022; Zbl 1492.74088) Full Text: DOI
Kalyakin, L. A. Solution asymptotics for the system of Landau-Lifshitz equations under a saddle-node dynamical bifurcation. (English. Russian original) Zbl 1491.53004 St. Petersbg. Math. J. 33, No. 2, 223-242 (2022); translation from Algebra Anal. 33, No. 2, 56-81 (2021). MSC: 53A04 52A40 52A10 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, St. Petersbg. Math. J. 33, No. 2, 223--242 (2022; Zbl 1491.53004); translation from Algebra Anal. 33, No. 2, 56--81 (2021) Full Text: DOI
Budylin, A. M. Singular matrix conjugacy problem with rapidly oscillating off-diagonal entries. Asymptotics of the solution in the case when a diagonal entry vanishes at a stationary point. (English. Russian original) Zbl 1483.35144 St. Petersbg. Math. J. 32, No. 5, 847-864 (2021); translation from Algebra Anal. 32, No. 5, 37-61 (2020). Reviewer: Philippe Briet (Toulon) MSC: 35Q15 35Q55 35B40 45E99 PDFBibTeX XMLCite \textit{A. M. Budylin}, St. Petersbg. Math. J. 32, No. 5, 847--864 (2021; Zbl 1483.35144); translation from Algebra Anal. 32, No. 5, 37--61 (2020) Full Text: DOI
Kozlov, V.; Taskinen, J. Floquet problem and center manifold reduction for ordinary differential operators with periodic coefficients in Hilbert spaces. (English) Zbl 1484.34144 St. Petersbg. Math. J. 32, No. 3, 531-550 (2021) and Algebra Anal. 32, No. 3, 191-218 (2020). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34G20 34C45 37C60 34D05 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{J. Taskinen}, St. Petersbg. Math. J. 32, No. 3, 531--550 (2021; Zbl 1484.34144) Full Text: DOI arXiv Link
Korikov, D. V. Asymptotics of eigenvalues of the Maxwell system in a domain with small cavities. (English. Russian original) Zbl 1507.35275 St. Petersbg. Math. J. 31, No. 1, 13-51 (2020); translation from Algebra Anal. 31, No. 1, 18-71 (2019). MSC: 35Q61 35B40 35P20 PDFBibTeX XMLCite \textit{D. V. Korikov}, St. Petersbg. Math. J. 31, No. 1, 13--51 (2020; Zbl 1507.35275); translation from Algebra Anal. 31, No. 1, 18--71 (2019) Full Text: DOI
Yafaev, D. R. A new representation of Hankel operators and its spectral consequences. (English) Zbl 1486.47058 St. Petersbg. Math. J. 30, No. 3, 601-619 (2019) and Algebra Anal. 30, No. 3, 286-310 (2018). MSC: 47B35 47A40 47B06 47B25 47G30 PDFBibTeX XMLCite \textit{D. R. Yafaev}, St. Petersbg. Math. J. 30, No. 3, 601--619 (2019; Zbl 1486.47058) Full Text: DOI arXiv
Ivrii, V. Asymptotics of the ground state energy in the relativistic settings. (English) Zbl 1414.81278 St. Petersbg. Math. J. 30, No. 3, 445-456 (2019) and Algebra Anal. 30, No. 3, 76-92 (2018). MSC: 81V45 81V55 81Q20 35P15 PDFBibTeX XMLCite \textit{V. Ivrii}, St. Petersbg. Math. J. 30, No. 3, 445--456 (2019; Zbl 1414.81278) Full Text: DOI arXiv
Rozenblum, G. V. On the mathematical work of Mikhaĭl Zakharovich Solomyak. (English. Russian original) Zbl 1436.47001 St. Petersbg. Math. J. 30, No. 3, 391-410 (2019); translation from Algebra Anal. 30, No. 3, 3-29 (2018). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 47-03 35-03 01A70 35P20 35P15 47F05 47B25 PDFBibTeX XMLCite \textit{G. V. Rozenblum}, St. Petersbg. Math. J. 30, No. 3, 391--410 (2019; Zbl 1436.47001); translation from Algebra Anal. 30, No. 3, 3--29 (2018) Full Text: DOI
Kordyukov, Yu. A. On asymptotic expansions of generalized Bergman kernels on symplectic manifolds. (English. Russian original) Zbl 1410.58009 St. Petersbg. Math. J. 30, No. 2, 267-283 (2019); translation from Algebra Anal. 30, No. 2, 163-187 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 58J37 53D50 PDFBibTeX XMLCite \textit{Yu. A. Kordyukov}, St. Petersbg. Math. J. 30, No. 2, 267--283 (2019; Zbl 1410.58009); translation from Algebra Anal. 30, No. 2, 163--187 (2018) Full Text: DOI arXiv
Rastegaev, N. V. On spectral asymptotics of the tensor product of operators with almost regular marginal asymptotics. (English. Russian original) Zbl 1435.47030 St. Petersbg. Math. J. 29, No. 6, 1007-1029 (2018); translation from Algebra Anal. 29, No. 6, 197-229 (2017). MSC: 47A80 47B02 60G15 PDFBibTeX XMLCite \textit{N. V. Rastegaev}, St. Petersbg. Math. J. 29, No. 6, 1007--1029 (2018; Zbl 1435.47030); translation from Algebra Anal. 29, No. 6, 197--229 (2017) Full Text: DOI arXiv
Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. Rectangular lattices of cylindrical quantum waveguides. I: Spectral problems on a finite cross. (English. Russian original) Zbl 1390.81186 St. Petersbg. Math. J. 29, No. 3, 423-437 (2018); translation from Algebra Anal. 29, No. 3, 1-22 (2017). MSC: 81Q37 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., St. Petersbg. Math. J. 29, No. 3, 423--437 (2018; Zbl 1390.81186); translation from Algebra Anal. 29, No. 3, 1--22 (2017) Full Text: DOI
Fedotov, A.; Shchetka, E. Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. (English. Russian original) Zbl 1385.39001 St. Petersbg. Math. J. 29, No. 2, 363-381 (2018); translation from Algebra Anal. 29, No. 2, 193-219 (2017). MSC: 39A12 34E20 34L40 39A22 PDFBibTeX XMLCite \textit{A. Fedotov} and \textit{E. Shchetka}, St. Petersbg. Math. J. 29, No. 2, 363--381 (2018; Zbl 1385.39001); translation from Algebra Anal. 29, No. 2, 193--219 (2017) Full Text: DOI
Gurevich, P. Asymptotics of parabolic green’s functions on lattices. (English) Zbl 1370.35161 St. Petersbg. Math. J. 28, No. 5, 569-596 (2017) and Algebra Anal. 28, No. 5, 21-60 (2017). MSC: 35K08 PDFBibTeX XMLCite \textit{P. Gurevich}, St. Petersbg. Math. J. 28, No. 5, 569--596 (2017; Zbl 1370.35161) Full Text: DOI arXiv
Korikov, D. V.; Plamenevskiĭ, B. A. Asymptotics of solutions of the stationary and nonstationary Maxwell systems in a domain with small cavities. (English. Russian original) Zbl 1364.35356 St. Petersbg. Math. J. 28, No. 4, 507-554 (2017); translation from Algebra Anal. 28, No. 4, 102-170 (2016). MSC: 35Q61 PDFBibTeX XMLCite \textit{D. V. Korikov} and \textit{B. A. Plamenevskiĭ}, St. Petersbg. Math. J. 28, No. 4, 507--554 (2017; Zbl 1364.35356); translation from Algebra Anal. 28, No. 4, 102--170 (2016) Full Text: DOI
Nazarov, S. A. Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues. (English. Russian original) Zbl 1361.81059 St. Petersbg. Math. J. 28, No. 3, 377-410 (2017); translation from Algebra Anal. 28 No. 3, 111-160 (2016). MSC: 81Q37 81Q10 35J05 81U20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 28, No. 3, 377--410 (2017; Zbl 1361.81059); translation from Algebra Anal. 28 No. 3, 111--160 (2016) Full Text: DOI
Polyakov, D. M. Spectral analysis of a fourth-order differential operator with periodic and antiperiodic boundary conditions. (English. Russian original) Zbl 1360.34171 St. Petersbg. Math. J. 27, No. 5, 789-811 (2016); translation from Algebra Anal. 27, No. 5, 117-152 (2015). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L20 34L05 PDFBibTeX XMLCite \textit{D. M. Polyakov}, St. Petersbg. Math. J. 27, No. 5, 789--811 (2016; Zbl 1360.34171); translation from Algebra Anal. 27, No. 5, 117--152 (2015) Full Text: DOI
Sloushch, V. A. Discrete spectrum of a periodic Schrödinger operator with variable metric perturbed by a nonnegative rapidly decaying potential. (English. Russian original) Zbl 1409.35161 St. Petersbg. Math. J. 27, No. 2, 317-326 (2016); translation from Algebra Anal. 27, No. 2, 196-210 (2015). MSC: 35P20 35J10 47F05 PDFBibTeX XMLCite \textit{V. A. Sloushch}, St. Petersbg. Math. J. 27, No. 2, 317--326 (2016; Zbl 1409.35161); translation from Algebra Anal. 27, No. 2, 196--210 (2015) Full Text: DOI
Vladimirov, A. A. Oscillation method in the spectral problem for a fourth order differential operator with a self-similar weight. (English. Russian original) Zbl 1343.34193 St. Petersbg. Math. J. 27, No. 2, 237-244 (2016); translation from Algebra Anal. 27, No. 2, 83-95 (2015). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L10 34L15 34C10 34L20 PDFBibTeX XMLCite \textit{A. A. Vladimirov}, St. Petersbg. Math. J. 27, No. 2, 237--244 (2016; Zbl 1343.34193); translation from Algebra Anal. 27, No. 2, 83--95 (2015) Full Text: DOI
Golovina, A. M. Spectrum of periodic elliptic operators with distant perturbations in space. (English. Russian original) Zbl 1436.35025 St. Petersbg. Math. J. 25, No. 5, 735-754 (2014); translation from Algebra Anal. 25, No. 5, 32-60 (2013). MSC: 35B20 PDFBibTeX XMLCite \textit{A. M. Golovina}, St. Petersbg. Math. J. 25, No. 5, 735--754 (2014; Zbl 1436.35025); translation from Algebra Anal. 25, No. 5, 32--60 (2013) Full Text: DOI
Badanin, A. V.; Korotyaev, E. L. A third order operator with periodic coefficients on the real line. (English. Russian original) Zbl 1310.34116 St. Petersbg. Math. J. 25, No. 5, 713-734 (2014); translation from Algebra Anal. 25, No. 5, 1-31 (2013). MSC: 34L40 34L05 PDFBibTeX XMLCite \textit{A. V. Badanin} and \textit{E. L. Korotyaev}, St. Petersbg. Math. J. 25, No. 5, 713--734 (2014; Zbl 1310.34116); translation from Algebra Anal. 25, No. 5, 1--31 (2013) Full Text: DOI arXiv
Nazarov, A. I.; Pusev, R. S. Comparison theorems for the small ball probabilities of the Green Gaussian processes in weighted \(L_2\)-norms. (English. Russian original) Zbl 1301.60045 St. Petersbg. Math. J. 25, No. 3, 455-466 (2014); translation from Algebra Anal. 25, No. 3, 131-146 (2013). MSC: 60G15 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{R. S. Pusev}, St. Petersbg. Math. J. 25, No. 3, 455--466 (2014; Zbl 1301.60045); translation from Algebra Anal. 25, No. 3, 131--146 (2013) Full Text: DOI arXiv
Egorova, I.; Pastur, L. Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory. (English. Russian original) Zbl 1304.37054 St. Petersbg. Math. J. 25, No. 2, 223-240 (2014); translation from Algebra Anal. 25, No. 2, 101-124 (2013). Reviewer: Leonid Golinskii (Kharkov) MSC: 37K40 35Q53 37K45 35Q15 PDFBibTeX XMLCite \textit{I. Egorova} and \textit{L. Pastur}, St. Petersbg. Math. J. 25, No. 2, 223--240 (2014; Zbl 1304.37054); translation from Algebra Anal. 25, No. 2, 101--124 (2013) Full Text: DOI
Budylin, A. M. Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries. (English. Russian original) Zbl 1311.35174 St. Petersbg. Math. J. 25, No. 2, 205-222 (2014); translation from Algebra Anal. 25, No. 2, 75-100 (2013). MSC: 35Q15 45E10 45E99 35B40 PDFBibTeX XMLCite \textit{A. M. Budylin}, St. Petersbg. Math. J. 25, No. 2, 205--222 (2014; Zbl 1311.35174); translation from Algebra Anal. 25, No. 2, 75--100 (2013) Full Text: DOI
Filonov, N. Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension. (English) Zbl 1292.35183 St. Petersbg. Math. J. 25, No. 1, 117-149 (2014); translation from Algebra Anal. 25, No. 1, 170-215 (2013). MSC: 35P20 PDFBibTeX XMLCite \textit{N. Filonov}, St. Petersbg. Math. J. 25, No. 1, 117--149 (2014; Zbl 1292.35183); translation from Algebra Anal. 25, No. 1, 170--215 (2013) Full Text: DOI
Vladimirov, A. A.; Sheipak, I. A. Asymptotics of eigenvalues in a problem of high even order with discrete self-similar weight. (English. Russian original) Zbl 1280.34088 St. Petersbg. Math. J. 24, No. 2, 263-273 (2013); translation from Algebra Anal. 24, No. 2, 104-119 (2012). Reviewer: Andreas Fleige (Dortmund) MSC: 34L20 34B05 34B24 PDFBibTeX XMLCite \textit{A. A. Vladimirov} and \textit{I. A. Sheipak}, St. Petersbg. Math. J. 24, No. 2, 263--273 (2013; Zbl 1280.34088); translation from Algebra Anal. 24, No. 2, 104--119 (2012) Full Text: DOI
Solomyak, M. Z.; Suslina, T. A.; Yafaev, D. R. On the mathematical work of M. Sh. Birman. (English. Russian original) Zbl 1236.01029 St. Petersbg. Math. J. 23, No. 1, 1-38 (2012); translation from Algebra Anal. 23, No. 1, 5-60 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A70 35-03 47-03 47A10 46Exx 47N20 35P25 35Q61 35Qxx PDFBibTeX XMLCite \textit{M. Z. Solomyak} et al., St. Petersbg. Math. J. 23, No. 1, 1--38 (2012; Zbl 1236.01029); translation from Algebra Anal. 23, No. 1, 5--60 (2011) Full Text: DOI
Badanin, A. V.; Korotyaev, E. L. Spectral estimates for a periodic fourth-order operator. (English. Russian original) Zbl 1230.34071 St. Petersbg. Math. J. 22, No. 5, 703-736 (2011); translation from Algebra Anal. 22, No. 5, 1-48 (2005). MSC: 34L05 34L15 34L40 PDFBibTeX XMLCite \textit{A. V. Badanin} and \textit{E. L. Korotyaev}, St. Petersbg. Math. J. 22, No. 5, 703--736 (2011; Zbl 1230.34071); translation from Algebra Anal. 22, No. 5, 1--48 (2005) Full Text: DOI arXiv
Kopylova, E. A. Dispersion estimates for discrete Schrödinger and Klein-Gordon equations. (English. Russian original) Zbl 1213.34110 St. Petersbg. Math. J. 21, No. 5, 743-760 (2010); translation from Algebra Anal. 21, No. 5, 87-113 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 34L40 47E05 PDFBibTeX XMLCite \textit{E. A. Kopylova}, St. Petersbg. Math. J. 21, No. 5, 743--760 (2010; Zbl 1213.34110); translation from Algebra Anal. 21, No. 5, 87--113 (2009) Full Text: DOI
Kalyagin, V. A.; Kononova, A. A. On the asymptotics of polynomials orthogonal on a system of curves with respect to a measure with discrete part. (English. Russian original) Zbl 1197.42014 St. Petersbg. Math. J. 21, No. 2, 217-230 (2010); translation from Algebra Anal. 21, No. 2, 71-91 (2009). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 30E15 PDFBibTeX XMLCite \textit{V. A. Kalyagin} and \textit{A. A. Kononova}, St. Petersbg. Math. J. 21, No. 2, 217--230 (2010; Zbl 1197.42014); translation from Algebra Anal. 21, No. 2, 71--91 (2009) Full Text: DOI
Fedorov, V. E.; Ruzakova, O. A. On solvability of perturbed Sobolev type equations. (English. Russian original) Zbl 1206.34080 St. Petersbg. Math. J. 20, No. 4, 645-664 (2009); translation from Algebra Anal. 20, No. 4, 189-217 (2008). MSC: 34G10 34G25 34E10 35G10 47D06 47J35 PDFBibTeX XMLCite \textit{V. E. Fedorov} and \textit{O. A. Ruzakova}, St. Petersbg. Math. J. 20, No. 4, 645--664 (2009; Zbl 1206.34080); translation from Algebra Anal. 20, No. 4, 189--217 (2008) Full Text: DOI
Nazarov, S. A. Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution. (English. Russian original) Zbl 1156.35012 St. Petersbg. Math. J. 19, No. 2, 297-326 (2008); translation from Algebra Anal. 19, No. 2, 183-225 (2007). Reviewer: Aleksander Pankov (Baltimore) MSC: 35B40 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 19, No. 2, 297--326 (2008; Zbl 1156.35012); translation from Algebra Anal. 19, No. 2, 183--225 (2007) Full Text: DOI
Matyukevich, S. I.; Plamenevskiĭ, B. A. Elastodynamics in domains with edges. (English. Russian original) Zbl 1284.35427 St. Petersbg. Math. J. 18, No. 3, 459-510 (2007); translation from Algebra Anal. 18, No. 3, 158-233 (2006). MSC: 35Q74 35B45 74B05 74H10 PDFBibTeX XMLCite \textit{S. I. Matyukevich} and \textit{B. A. Plamenevskiĭ}, St. Petersbg. Math. J. 18, No. 3, 459--510 (2007; Zbl 1284.35427); translation from Algebra Anal. 18, No. 3, 158--233 (2006) Full Text: DOI
Alekseev, A. B.; Birman, M. Sh.; Filonov, N. D. Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint. (English. Russian original) Zbl 1260.35092 St. Petersbg. Math. J. 18, No. 5, 681-697 (2007); translation from Algebra Anal. 18, No. 5, 1-22 (2006). MSC: 35P20 35S05 47F05 47G30 49J52 PDFBibTeX XMLCite \textit{A. B. Alekseev} et al., St. Petersbg. Math. J. 18, No. 5, 681--697 (2007; Zbl 1260.35092); translation from Algebra Anal. 18, No. 5, 1--22 (2006) Full Text: DOI
Protasov, V. Yu. Piecewise-smooth refinable functions. (English. Russian original) Zbl 1085.42020 St. Petersbg. Math. J. 16, No. 5, 821-835 (2005); translation from Algebra Anal. 16, No. 5, 101-123 (2004). MSC: 42C40 41A15 11P81 PDFBibTeX XMLCite \textit{V. Yu. Protasov}, St. Petersbg. Math. J. 16, No. 5, 821--835 (2005; Zbl 1085.42020); translation from Algebra Anal. 16, No. 5, 101--123 (2004) Full Text: DOI
Novosel’tsev, A. Yu.; Simonenko, I. B. Asymptotic dependence of the extreme eigenvalues of truncated Toeplitz matrices on the rate at which the symbol attains its extremum. (English. Russian original) Zbl 1091.47024 St. Petersbg. Math. J. 16, No. 4, 713-718 (2005); translation from Algebra Anal. 16, No. 4, 146-152 (2004). Reviewer: Amarino Lebre (Lisboa) MSC: 47B35 47A10 47A75 15A18 PDFBibTeX XMLCite \textit{A. Yu. Novosel'tsev} and \textit{I. B. Simonenko}, St. Petersbg. Math. J. 16, No. 4, 713--718 (2005; Zbl 1091.47024); translation from Algebra Anal. 16, No. 4, 146--152 (2004) Full Text: DOI
Kokotov, A.; Plamenevskiĭ, B. On the asymptotics of solutions to the Neumann problem for hyperbolic systems in domains with conical points. (English. Russian original) Zbl 1073.35153 St. Petersbg. Math. J. 16, No. 3, 477-506 (2005); translation from Algebra Anal. 16, No. 3, 56-98 (2004). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L55 35L20 35B40 PDFBibTeX XMLCite \textit{A. Kokotov} and \textit{B. Plamenevskiĭ}, St. Petersbg. Math. J. 16, No. 3, 477--506 (2005; Zbl 1073.35153); translation from Algebra Anal. 16, No. 3, 56--98 (2004) Full Text: DOI
Bruneau, V.; Pushnitski, A.; Raikov, G. Spectral shift function in strong magnetic fields. (English) Zbl 1082.35115 St. Petersbg. Math. J. 16, No. 1, 181-209 (2004); and Algebra Anal. 16, No. 1, 207-238 (2004). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 35P25 35P20 35J10 81U99 PDFBibTeX XMLCite \textit{V. Bruneau} et al., St. Petersbg. Math. J. 16, No. 1, 181--209 (2004; Zbl 1082.35115) Full Text: DOI
Matsaev, V.; Sodin, M. Asymptotics of Fourier and Laplace transforms in weighted spaces of analytic functions. (English) Zbl 1044.42003 St. Petersbg. Math. J. 14, No. 4, 615-640 (2003) and Algebra Anal. 14, No. 4, 107-140 (2002). MSC: 42A16 30D55 30H05 41A60 44A10 PDFBibTeX XMLCite \textit{V. Matsaev} and \textit{M. Sodin}, St. Petersbg. Math. J. 14, No. 4, 107--140 (2003; Zbl 1044.42003) Full Text: arXiv
Buslaev, V. S. Asymptotic comparison of differential equations. (English. Russian original) Zbl 1055.34104 St. Petersbg. Math. J. 14, No. 4, 535-547 (2003); translation from Algebra Anal. 14, No. 4, 1-18 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 34E20 34A30 34E10 PDFBibTeX XMLCite \textit{V. S. Buslaev}, St. Petersbg. Math. J. 14, No. 4, 1--18 (2003; Zbl 1055.34104); translation from Algebra Anal. 14, No. 4, 1--18 (2002)
Budylin, A. M.; Buslaev, V. S. The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. (English. Russian original) Zbl 0998.35050 St. Petersbg. Math. J. 12, No. 5, 761-789 (2001); translation from Algebra Anal. 12, No. 5, 64-105 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 35Q55 35B40 47G30 PDFBibTeX XMLCite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, St. Petersbg. Math. J. 12, No. 5, 761--789 (2001; Zbl 0998.35050); translation from Algebra Anal. 12, No. 5, 64--105 (2001)
Kokotov, A. Yu.; Plamenevskij, B. A. On the Cauchy-Dirichlet problem for hyperbolic systems in a wedge. (English. Russian original) Zbl 0954.35104 St. Petersbg. Math. J. 11, No. 3, 497-534 (2000); translation from Algebra Anal. 11, No. 3, 140-195 (1999). Reviewer: Mithat Idemen (İstanbul) MSC: 35L55 35L20 PDFBibTeX XMLCite \textit{A. Yu. Kokotov} and \textit{B. A. Plamenevskij}, St. Petersbg. Math. J. 11, No. 3, 1 (1999; Zbl 0954.35104); translation from Algebra Anal. 11, No. 3, 140--195 (1999)
Safronov, O. L. Arising and disappearance of the discrete spectrum in a gap of a second order periodic operator under decaying perturbations of variable sign. (English. Russian original) Zbl 0891.35110 St. Petersbg. Math. J. 9, No. 1, 107-120 (1998); translation from Algebra Anal. 9, No. 1, 148-166 (1997). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P20 47A55 PDFBibTeX XMLCite \textit{O. L. Safronov}, St. Petersbg. Math. J. 9, No. 1, 1 (1997; Zbl 0891.35110); translation from Algebra Anal. 9, No. 1, 148--166 (1997)
Nazarov, S. A.; Specovius-Neugebauer, M. Approximation of unbounded domains by bounded domains. Boundary value problems for the Lamé operator. (English. Russian original) Zbl 0888.35006 St. Petersbg. Math. J. 8, No. 5, 879-912 (1997); translation from Algebra Anal. 8, No. 5, 239-268 (1996). Reviewer: A.Martynyuk (Kyïv) MSC: 35A35 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, St. Petersbg. Math. J. 8, No. 5, 229--268 (1996; Zbl 0888.35006); translation from Algebra Anal. 8, No. 5, 239--268 (1996)
Sakhnovich, L. A. The principle of imperceptibility of the boundary in the theory of stable processes. (English. Russian original) Zbl 0839.60071 St. Petersbg. Math. J. 6, No. 6, 1219-1228 (1995); translation from Algebra Anal. 6, No. 6, 115-127 (1994). MSC: 60J99 60K40 PDFBibTeX XMLCite \textit{L. A. Sakhnovich}, St. Petersbg. Math. J. 6, No. 6, 115--127 (1994; Zbl 0839.60071); translation from Algebra Anal. 6, No. 6, 115--127 (1994)
Birman, M. Sh.; Yafaev, D. R. Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. (English. Russian original) Zbl 0860.35088 St. Petersbg. Math. J. 6, No. 3, 453-474 (1995); translation from Algebra Anal. 6, No. 3, 17-39 (1994). Reviewer: B.Pavlov (Auckland) MSC: 35P25 47A40 35J10 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{D. R. Yafaev}, St. Petersbg. Math. J. 6, No. 3, 17--39 (1994; Zbl 0860.35088); translation from Algebra Anal. 6, No. 3, 17--39 (1994)
Vugal’ter, S. A.; Zhislin, G. M. Spectral asymptotic for \(N\)-particle Schrödinger operators with a homogeneous magnetic field on subspaces with fixed \(SO(2)\)-symmetry. (English. Russian original) Zbl 0824.35092 St. Petersb. Math. J. 5, No. 2, 317-332 (1994); translation from Algebra Anal. 5, No. 2, 108-125 (1993). MSC: 35P20 81V70 35A30 PDFBibTeX XMLCite \textit{S. A. Vugal'ter} and \textit{G. M. Zhislin}, St. Petersbg. Math. J. 5, No. 2, 1 (1993; Zbl 0824.35092); translation from Algebra Anal. 5, No. 2, 108--125 (1993)
Kitaev, A. V. Isomonodromic technique and elliptic asymptotic formulas for the first Painlevé transcendent. (English. Russian original) Zbl 0822.34005 St. Petersbg. Math. J. 5, No. 3, 577-605 (1994); translation from Algebra Anal. 5, No. 3, 179-211 (1993). MSC: 34M55 30D05 33C10 PDFBibTeX XMLCite \textit{A. V. Kitaev}, St. Petersbg. Math. J. 5, No. 3, 179--211 (1993; Zbl 0822.34005); translation from Algebra Anal. 5, No. 3, 179--211 (1993)
Budylin, A. M.; Buslaev, V. S. Semiclassical integral equations with slowly decreasing kernels on finite domains. (English. Russian original) Zbl 0794.45001 St. Petersbg. Math. J. 5, No. 1, 141-158 (1994); translation from Algebra Anal. 5, No. 1, 160-178 (1993). Reviewer: J.F.Toland (Bath) MSC: 45A05 45M05 45E10 PDFBibTeX XMLCite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, St. Petersbg. Math. J. 5, No. 1, 160--178 (1993; Zbl 0794.45001); translation from Algebra Anal. 5, No. 1, 160--178 (1993)
Vugal’ter, S. A.; Zhislin, G. M. Asymptotics of the discrete spectrum of the Hamiltonians of multiparticle quantum systems in a homogeneous magnetic field. (English. Russian original) Zbl 0791.47058 St. Petersbg. Math. J. 3, No. 6, 1313-1349 (1992); translation from Algebra Anal. 3, No. 6, 119-154 (1991). MSC: 47N50 81Q10 81Q15 PDFBibTeX XMLCite \textit{S. A. Vugal'ter} and \textit{G. M. Zhislin}, St. Petersbg. Math. J. 3, No. 6, 1313--1349 (1991; Zbl 0791.47058); translation from Algebra Anal. 3, No. 6, 119--154 (1991)
Cohen, J.; Slavyanov, S. Yu. Semiclassical asymptotics of the spectrum for the lower states of an anharmonic oscillator. (English. Russian original) Zbl 0791.34068 St. Petersbg. Math. J. 3, No. 2, 355-361 (1992). MSC: 34L40 34L20 81Q20 34E10 PDFBibTeX XMLCite \textit{J. Cohen} and \textit{S. Yu. Slavyanov}, St. Petersbg. Math. J. 3, No. 2, 355--361 (1991; Zbl 0791.34068)