## Found 182 Documents (Results 1–100)

100
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### A Tauberian approach to an analog of Weyl’s law for the Kohn Laplacian on compact Heisenberg manifolds. (English)Zbl 1487.32202

MSC:  32W10 32W30
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### The Laplacian on some self-conformal fractals and Weyl’s asymptotics for its eigenvalues: a survey of the analytic aspects. (English)Zbl 1486.35315

Inahama, Yuzuru (ed.) et al., Stochastic analysis, random fields and integrable probability – Fukuoka 2019. Proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Kyushu University, Japan, 31 July – 9 August 2019. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 87, 293-315 (2021).
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### Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case. (English. Russian original)Zbl 1478.15051

Funct. Anal. Appl. 55, No. 2, 94-112 (2021); translation from Funkts. Anal. Prilozh. 55, No. 2, 21-43 (2021).
MSC:  15B52 60B20 33C45
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### Spectral asymptotics on stationary space-times. (English)Zbl 1471.83009

MSC:  83C30 35P20
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### Spectral properties of Landau Hamiltonians with non-local potentials. (English)Zbl 1472.35108

MSC:  35J10 35P20
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### Pseudo-differential perturbations of the Landau Hamiltonian. (English)Zbl 1461.35173

Miranda, Pablo (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3–7, 2018. Cham: Springer. Lat. Am. Math. Ser., 87-104 (2020).
MSC:  35P20 35S05
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### The singular values of compact pseudodifferential operators with spatially nonsmooth symbols. (English. Russian original)Zbl 1450.35203

Sib. Math. J. 61, No. 4, 671-686 (2020); translation from Sib. Mat. Zh. 61, No. 4, 849-866 (2020).
MSC:  35P20 35S05
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### Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain. (English)Zbl 1467.35107

MSC:  35J05 35P15 35P20
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### 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: Birkhäuser. Oper. Theory: Adv. Appl. 276, 80-93 (2020).
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### Spectral analysis of Morse-Smale flows. II: Resonances and resonant states. (English)Zbl 1444.37026

MSC:  37D15 37C10 37C27
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### Regularly varying functions, generalized contents, and the spectrum of fractal strings. (English)Zbl 1423.35282

Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 63-94 (2019).
MSC:  35P20 28A80
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### Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. (English)Zbl 1441.35003

Cham: Springer (ISBN 978-3-030-30540-6/hbk; 978-3-030-30541-3/ebook). xix, 525 p. (2019).
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### Microlocal analysis, sharp spectral asymptotics and applications I. Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics. (English)Zbl 1441.35002

Cham: Springer (ISBN 978-3-030-30556-7/hbk; 978-3-030-30557-4/ebook). xlix, 889 p. (2019).
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### Weyl-type bounds for Steklov eigenvalues. (English)Zbl 1409.35160

MSC:  35P15 35J25 35P20
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### Bernstein’s inequality for the Weyl derivatives of trigonometric polynomials in the space $$L_0$$. (English. Russian original)Zbl 1401.42001

Math. Notes 104, No. 2, 263-270 (2018); translation from Mat. Zametki 104, No. 2, 255-264 (2018).
MSC:  42A05
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### Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds. (English)Zbl 1401.35225

MSC:  35P15 58C40
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### Refined Weyl law for homogeneous perturbations of the harmonic oscillator. (English)Zbl 1396.58024

MSC:  58J37 58J40
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### Extremum problems of Laplacian eigenvalues and generalized Polya conjecture. (English)Zbl 06731385

MSC:  35-XX 49-XX 57-XX
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### The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. (English)Zbl 1372.35200

Eisner, Tanja (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). Operator Theory: Advances and Applications 255, 49-66 (2016).
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### On the effective size of a non-Weyl graph. (English)Zbl 1348.81244

MSC:  81Q35 35B34
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### Average number of lattice points in a disk. (English)Zbl 1333.52020

MSC:  52C05 33C10
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### 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).
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### Asymptotics for the number of walks in a Weyl chamber of type $$B$$. (English)Zbl 1309.05180

MSC:  05E15 05A15
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### Trace asymptotics formula for the Schrödinger operators with constant magnetic fields. (English)Zbl 1300.35111

MSC:  35Q40 81Q05 35L20
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### A short proof of Weyl’s law for fractional differential operators. (English)Zbl 1317.35158

MSC:  35P20 35P15 35R11
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### 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
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### Well-posedness and spectral properties of heat and wave equations with non-local conditions. (English)Zbl 1298.47056

MSC:  47D06 35J20 34B10
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### Analysis and geometry of the measurable Riemannian structure on the Sierpiński gasket. (English)Zbl 1325.28001

Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 91-133 (2013).
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### Sharp trace asymptotics for a class of $$2D$$-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) (English. French summary)Zbl 1301.35070

MSC:  35P20 81V10
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MSC:  58J50
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### A survey on the Krein-von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains. (English)Zbl 1283.47001

Demuth, Michael (ed.) et al., Mathematical physics, spectral theory and stochastic analysis. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0590-2/hbk; 978-3-0348-0591-9/ebook). Operator Theory: Advances and Applications 232. Advances in Partial Differential Equations, 1-106 (2013).
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### A closed formula for the asymptotic expansion of the Bergman kernel. (English)Zbl 1257.32003

MSC:  32A25 32Q15 58J37
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### On the negative spectrum of the two-dimensional Schrödinger operator with radial potential. (English)Zbl 1253.35037

MSC:  35J10 35P20
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### KdV equation in the quarter-plane: evolution of the Weyl functions and unbounded solutions. (English)Zbl 1251.35137

MSC:  35Q53 34B20 35G31
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### Non-Weyl resonance asymptotics for quantum graphs. (English)Zbl 1268.34056

MSC:  34B45 47E05
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### Eigenvalue asymptotics for magnetic fields and degenerate potentials. (English)Zbl 1246.35141

Janas, Jan (ed.) et al., Spectral theory and analysis. Conference on operator theory, analysis and mathematical physics (OTAMP) 2008, Bedlewo, Poland. Berlin: Springer (ISBN 978-3-7643-9993-1/hbk; 978-94-007-0431-2/ebook). Operator Theory: Advances and Applications 214, 135-169 (2011).
MSC:  35P20 35J10 81Q05
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### Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain. (English)Zbl 1253.47031

Exner, Pavel (ed.), Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6–10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4350-35-8/hbk; 978-981-4350-36-5/ebook). 138-147 (2011).
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### Heat trace asymptotics with singular weight functions. II. (English)Zbl 1238.58016

MSC:  58J35 35K20 35P99
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### The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds. (English)Zbl 1228.35163

MSC:  35P20 58C40 58J50
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### Asymptotics for walks in a Weyl chamber of type $$B$$ (extended abstract). (English)Zbl 1355.05231

Drmota, Michael (ed.) et al., Proceeding of the 21st international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA’10), Vienna, Austria, June 28 – July 2, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 175-188 (2010).
MSC:  05C81
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### Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds. (English)Zbl 1228.47046

MSC:  47F05 35P20 58J05
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### Probabilistic Weyl laws for quantized tori. (English)Zbl 1205.53092

MSC:  53D50 47B35
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### Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. (English)Zbl 1194.47058

MSC:  47G30 35S30
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### Geometry of continued fractions associated with Frobenius numbers. (English)Zbl 1201.11009

MSC:  11A55 20M14 11D07
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### Weyl-Titchmarsh type formula for Hermite operator with small perturbation. (English)Zbl 1200.47040

MSC:  47B36 47A10
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### Born-Oppenheimer-type approximations for degenerate potentials: recent results and a survey on the area. (English)Zbl 1157.35444

Janas, Jan (ed.) et al., Methods of spectral analysis in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP), Lund, Sweden, June 15–22, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8754-9/hbk). Operator Theory: Advances and Applications 186, 403-413 (2009).
MSC:  35P20 35J10 47A10
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### Improved Berezin-Li-Yau inequalities with a remainder term. (English)Zbl 1168.35404

Suslina, T. (ed.) et al., Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4738-1/hbk). Translations. Series 2. American Mathematical Society 225; Advances in the Mathematical Sciences 62, 253-263 (2008).
MSC:  35P15 35J60
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### Quasi-Weyl asymptotics of the spectrum of the vector Dirichlet problem. (English)Zbl 1158.35398

Funct. Anal. Appl. 42, No. 2, 141-143 (2008); translation from Funkts. Anal. Prilozh. 42, No. 2, 75-78 (2008).
MSC:  35P20 47A40 47F05
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MSC:  58J37
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### Expression for the number of eigenvalues of a Friedrichs model. (English. Russian original)Zbl 1219.81126

Math. Notes 82, No. 1, 67-74 (2007); translation from Mat. Zametki 82, No. 1, 75-83 (2007).
MSC:  81Q10 47B25 47N50
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### The asymptotic behavior of the spectrum trace formulas for differential operators with unbounded coefficients. (English. Russian original)Zbl 1166.34333

Dokl. Math. 76, No. 2, 762-766 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 6, 740-744 (2007).
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### 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).
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### Weyl asymptotic of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains. (English)Zbl 1260.35096

Birman, M. S. (ed.) et al., Nonlinear equations and spectral theory. Dedicated to the memory of Olga Aleksandrovna Ladyzhenskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4209-6/hbk). Translations. Series 2. American Mathematical Society 220. Advances in the Mathematical Sciences 59, 27-44 (2007).
MSC:  35P25 35Q61

### Asymptotic behavior of the Steklov eigenvalues for the $$p$$-Laplace operator. (English)Zbl 1136.35064

MSC:  35P30 35P20 35J65
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### Reflectionless Sturm-Liouville equations. (English)Zbl 1132.34021

MSC:  34B24 34L25 34B20
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### Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II: Critical case. (English)Zbl 1199.35268

Davidson, Kenneth R. (ed.) et al., Operator theory 20. Proceedings of the 20th international conference on operator theory, Timişoara, Romania, June 30–July 5, 2004. Bucharest: Theta (ISBN 978-973-85432-9-4; 973-85432-9-0). Theta Series in Advanced Mathematics 6, 261-274 (2006).
MSC:  35P20 47F05 35J99

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### Quasi-Weyl asymptotics of the spectrum in the Dirichlet problem. (English)Zbl 1152.35081

Sb. Math. 197, No. 2, 153-171 (2006); translation from Mat. Sb. 197, No. 2, 17-34 (2006).
MSC:  35P20 35P15
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### Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams. (English)Zbl 1171.20305

Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 1-7 (2006).

### Semiclassical Weyl formula for a class of weakly regular elliptic operators. (English)Zbl 1105.35065

MSC:  35P20 35P15 35J25
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