Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David Some recent developments on the Steklov eigenvalue problem. (English) Zbl 07800518 Rev. Mat. Complut. 37, No. 1, 1-161 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58C40 58J50 35P05 35P15 35P20 35P30 53A10 53C21 58J53 58-02 53-02 PDFBibTeX XMLCite \textit{B. Colbois} et al., Rev. Mat. Complut. 37, No. 1, 1--161 (2024; Zbl 07800518) Full Text: DOI arXiv OA License
Chitour, Y.; Prandi, D.; Rizzi, L. Weyl’s law for singular Riemannian manifolds. (English. French summary) Zbl 07786290 J. Math. Pures Appl. (9) 181, 113-151 (2024). MSC: 47B25 35J10 53C21 58J99 35Q40 81Q10 PDFBibTeX XMLCite \textit{Y. Chitour} et al., J. Math. Pures Appl. (9) 181, 113--151 (2024; Zbl 07786290) Full Text: DOI arXiv
Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. (English) Zbl 1527.35383 Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023). MSC: 35Q55 35Q41 58J32 58J37 65N06 65M06 35B40 35C08 35C07 35B44 35A01 35A23 35R09 PDFBibTeX XMLCite \textit{O. Landoulsi} et al., Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023; Zbl 1527.35383) Full Text: DOI arXiv
Dai, Xianzhe; Honda, Shouhei; Pan, Jiayin; Wei, Guofang Singular Weyl’s law with Ricci curvature bounded below. (English) Zbl 1528.53040 Trans. Am. Math. Soc., Ser. B 10, 1212-1253 (2023). Reviewer: Paul F. Bracken (Edinburg) MSC: 53C23 58C40 58J50 35K08 PDFBibTeX XMLCite \textit{X. Dai} et al., Trans. Am. Math. Soc., Ser. B 10, 1212--1253 (2023; Zbl 1528.53040) Full Text: DOI arXiv
Savale, Nikhil Quantitative version of Weyl’s law. (English) Zbl 1527.37039 Ann. Global Anal. Geom. 64, No. 2, Paper No. 14, 24 p. (2023). MSC: 37D40 37J39 37B40 58J40 35S05 35S35 81Q20 PDFBibTeX XMLCite \textit{N. Savale}, Ann. Global Anal. Geom. 64, No. 2, Paper No. 14, 24 p. (2023; Zbl 1527.37039) Full Text: DOI arXiv
Iwahashi, Akemi; Kitabeppu, Yu; Yonekura, Akari One dimensional \(\mathsf{RCD}\) spaces always satisfy the regular Weyl’s law. (English) Zbl 07735837 Proc. Am. Math. Soc. 151, No. 11, 4923-4934 (2023). Reviewer: Joe Thomas (Durham) MSC: 58C40 58J50 58J60 PDFBibTeX XMLCite \textit{A. Iwahashi} et al., Proc. Am. Math. Soc. 151, No. 11, 4923--4934 (2023; Zbl 07735837) Full Text: DOI arXiv
Ponge, Raphaël Connes’ integration and Weyl’s laws. (English) Zbl 07722571 J. Noncommut. Geom. 17, No. 2, 719-767 (2023). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 47B10 81Q10 47G30 58J40 PDFBibTeX XMLCite \textit{R. Ponge}, J. Noncommut. Geom. 17, No. 2, 719--767 (2023; Zbl 07722571) Full Text: DOI arXiv
Fabila-Carrasco, John Stewart; Lledó, Fernando; Post, Olaf A geometric construction of isospectral magnetic graphs. (English) Zbl 1518.05116 Anal. Math. Phys. 13, No. 4, Paper No. 64, 44 p. (2023). MSC: 05C50 05C10 05C78 05C75 58J50 58J53 PDFBibTeX XMLCite \textit{J. S. Fabila-Carrasco} et al., Anal. Math. Phys. 13, No. 4, Paper No. 64, 44 p. (2023; Zbl 1518.05116) Full Text: DOI arXiv
Wyman, Emmett L.; Xi, Yakun A two term Kuznecov sum formula. (English) Zbl 1517.58010 Commun. Math. Phys. 401, No. 2, 1127-1162 (2023). MSC: 58J50 58J40 35P20 11F72 PDFBibTeX XMLCite \textit{E. L. Wyman} and \textit{Y. Xi}, Commun. Math. Phys. 401, No. 2, 1127--1162 (2023; Zbl 1517.58010) Full Text: DOI arXiv
Rozenblum, Grigori Discrete spectrum of zero order pseudodifferential operators. (English) Zbl 1511.58012 Opusc. Math. 43, No. 2, 247-268 (2023). MSC: 58J40 58J50 PDFBibTeX XMLCite \textit{G. Rozenblum}, Opusc. Math. 43, No. 2, 247--268 (2023; Zbl 1511.58012) Full Text: DOI arXiv
Canzani, Yaiza; Galkowski, Jeffrey Weyl remainders: an application of geodesic beams. (English) Zbl 1514.35294 Invent. Math. 232, No. 3, 1195-1272 (2023). MSC: 35P05 35P15 58J05 58J50 PDFBibTeX XMLCite \textit{Y. Canzani} and \textit{J. Galkowski}, Invent. Math. 232, No. 3, 1195--1272 (2023; Zbl 1514.35294) Full Text: DOI arXiv
Rozenblum, Grigori The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity. (English) Zbl 07682222 J. Pseudo-Differ. Oper. Appl. 14, No. 2, Paper No. 26, 36 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47G30 47A75 58J50 74B05 PDFBibTeX XMLCite \textit{G. Rozenblum}, J. Pseudo-Differ. Oper. Appl. 14, No. 2, Paper No. 26, 36 p. (2023; Zbl 07682222) Full Text: DOI
Bandara, Lashi; Goffeng, Magnus; Saratchandran, Hemanth Realisations of elliptic operators on compact manifolds with boundary. (English) Zbl 1517.35108 Adv. Math. 420, Article ID 108968, 123 p. (2023). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J58 35J56 58J05 58J32 PDFBibTeX XMLCite \textit{L. Bandara} et al., Adv. Math. 420, Article ID 108968, 123 p. (2023; Zbl 1517.35108) Full Text: DOI arXiv
Islam, Onirban A Gutzwiller trace formula for Dirac operators on a stationary spacetime. (English) Zbl 1516.58009 J. Geom. Anal. 33, No. 2, Paper No. 57, 40 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J40 58J50 34L40 53C22 PDFBibTeX XMLCite \textit{O. Islam}, J. Geom. Anal. 33, No. 2, Paper No. 57, 40 p. (2023; Zbl 1516.58009) Full Text: DOI arXiv
Vig, Amir The wave trace and Birkhoff billiards. (English) Zbl 1521.37027 J. Spectr. Theory 12, No. 3, 877-938 (2022). Reviewer: Daniel Jaud (München) MSC: 37C83 58J51 PDFBibTeX XMLCite \textit{A. Vig}, J. Spectr. Theory 12, No. 3, 877--938 (2022; Zbl 1521.37027) Full Text: DOI arXiv
Drago, Nicoló; Ginoux, Nicolas; Murro, Simone Møller operators and Hadamard states for Dirac fields with MIT boundary conditions. (English) Zbl 1501.35256 Doc. Math. 27, 1693-1737 (2022). MSC: 35L50 35Q41 53C27 53C50 58J45 81T05 PDFBibTeX XMLCite \textit{N. Drago} et al., Doc. Math. 27, 1693--1737 (2022; Zbl 1501.35256) Full Text: DOI arXiv
Capoferri, Matteo; Vassiliev, Dmitri Global propagator for the massless Dirac operator and spectral asymptotics. (English) Zbl 1501.35338 Integral Equations Oper. Theory 94, No. 3, Paper No. 30, 56 p. (2022). MSC: 35Q41 35L45 58J40 58J45 35P20 PDFBibTeX XMLCite \textit{M. Capoferri} and \textit{D. Vassiliev}, Integral Equations Oper. Theory 94, No. 3, Paper No. 30, 56 p. (2022; Zbl 1501.35338) Full Text: DOI arXiv
Letrouit, Cyril Propagation of singularities for subelliptic wave equations. (English) Zbl 1502.58007 Commun. Math. Phys. 395, No. 1, 143-178 (2022). MSC: 58K99 35J75 35L81 35S99 53C17 PDFBibTeX XMLCite \textit{C. Letrouit}, Commun. Math. Phys. 395, No. 1, 143--178 (2022; Zbl 1502.58007) Full Text: DOI arXiv
Savale, Nikhil Hyperbolicity, irrationality exponents and the eta invariant. (English) Zbl 1501.58010 Commun. Partial Differ. Equations 47, No. 5, 989-1023 (2022). Reviewer: Yong Wang (Changchun) MSC: 58J28 PDFBibTeX XMLCite \textit{N. Savale}, Commun. Partial Differ. Equations 47, No. 5, 989--1023 (2022; Zbl 1501.58010) Full Text: DOI arXiv
Liu, Genqian Spectral invariants of the perturbed polyharmonic Steklov problem. (English) Zbl 1490.35242 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 125, 19 p. (2022). Reviewer: Denis Borisov (Ufa) MSC: 35P20 35C20 35J58 35R01 35R30 58J35 58J50 PDFBibTeX XMLCite \textit{G. Liu}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 125, 19 p. (2022; Zbl 1490.35242) Full Text: DOI arXiv
Capoferri, Matteo; Vassiliev, Dmitri Invariant subspaces of elliptic systems. II: spectral theory. (English) Zbl 1486.35314 J. Spectr. Theory 12, No. 1, 301-338 (2022). MSC: 35P20 47A15 47G30 35J46 35J47 35J48 58J05 58J40 58J45 PDFBibTeX XMLCite \textit{M. Capoferri} and \textit{D. Vassiliev}, J. Spectr. Theory 12, No. 1, 301--338 (2022; Zbl 1486.35314) Full Text: DOI arXiv
Girouard, Alexandre; Karpukhin, Mikhail; Levitin, Michael; Polterovich, Iosif The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. (English) Zbl 1492.58016 J. Spectr. Theory 12, No. 1, 195-225 (2022). Reviewer: Emily Dryden (Lewisburg) MSC: 58J50 35P20 PDFBibTeX XMLCite \textit{A. Girouard} et al., J. Spectr. Theory 12, No. 1, 195--225 (2022; Zbl 1492.58016) Full Text: DOI arXiv
Ammari, Habib; Chow, Yat Tin; Liu, Hongyu Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. (English) Zbl 1485.35419 SIAM J. Math. Anal. 54, No. 2, 1543-1592 (2022). MSC: 35R30 35A27 31B10 35J25 78A46 86A20 58J60 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Math. Anal. 54, No. 2, 1543--1592 (2022; Zbl 1485.35419) Full Text: DOI arXiv
de Hoop, Maarten V.; Ilmavirta, Joonas; Katsnelson, Vitaly Spectral rigidity for spherically symmetric manifolds with boundary. (English) Zbl 1493.53067 J. Math. Pures Appl. (9) 160, 54-98 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C24 58J50 86A22 PDFBibTeX XMLCite \textit{M. V. de Hoop} et al., J. Math. Pures Appl. (9) 160, 54--98 (2022; Zbl 1493.53067) Full Text: DOI arXiv
Capoferri, Matteo Diagonalization of elliptic systems via pseudodifferential projections. (English) Zbl 1482.58014 J. Differ. Equations 313, 157-187 (2022). MSC: 58J40 47A15 35J46 35J47 35J48 35P20 58J05 PDFBibTeX XMLCite \textit{M. Capoferri}, J. Differ. Equations 313, 157--187 (2022; Zbl 1482.58014) Full Text: DOI arXiv
Chen, Hua; Chen, Hong-Ge Estimates the upper bounds of Dirichlet eigenvalues for fractional Laplacian. (English) Zbl 1480.35304 Discrete Contin. Dyn. Syst. 42, No. 1, 301-317 (2022). MSC: 35P15 35J25 35R11 58C40 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-G. Chen}, Discrete Contin. Dyn. Syst. 42, No. 1, 301--317 (2022; Zbl 1480.35304) Full Text: DOI
Arendt, Wolfgang; Kennedy, James B. Disjointness-preserving operators and isospectral Laplacians. (English) Zbl 1484.35292 J. Spectr. Theory 11, No. 4, 1471-1510 (2021). MSC: 35P05 35J05 35J25 35R30 47B65 47F05 58J53 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{J. B. Kennedy}, J. Spectr. Theory 11, No. 4, 1471--1510 (2021; Zbl 1484.35292) Full Text: DOI arXiv
Bandara, Lashi; Nursultanov, Medet; Rowlett, Julie Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary. (English) Zbl 1483.58006 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1843-1878 (2021). MSC: 58J50 58B20 PDFBibTeX XMLCite \textit{L. Bandara} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1843--1878 (2021; Zbl 1483.58006) Full Text: DOI arXiv
Petridis, Yiannis N.; Risager, Morten S. Higher order deformations of hyperbolic spectra. (English) Zbl 1477.58022 Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 223-239 (2021). Reviewer: Lizhen Ji (Ann Arbor) MSC: 58J50 11F72 PDFBibTeX XMLCite \textit{Y. N. Petridis} and \textit{M. S. Risager}, Springer Proc. Math. Stat. 348, 223--239 (2021; Zbl 1477.58022) Full Text: DOI arXiv
Cardona, Duván; Del Corral, César The Dixmier trace and the noncommutative residue for multipliers on compact manifolds. (English) Zbl 1471.58032 Georgiev, Vladimir (ed.) et al., Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session “Harmonic analysis and partial differential equations”, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Birkhäuser. Trends Math., 121-163 (2020). MSC: 58J42 22E30 58J40 42B10 PDFBibTeX XMLCite \textit{D. Cardona} and \textit{C. Del Corral}, in: Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session ``Harmonic analysis and partial differential equations'', Aveiro, Portugal, July 29 -- August 2, 2019. Cham: Birkhäuser. 121--163 (2020; Zbl 1471.58032) Full Text: DOI arXiv
Avetisyan, Zhirayr; Sjöstrand, Johannes; Vassiliev, Dmitri The second Weyl coefficient for a first order system. (English) Zbl 1445.35270 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, 120-153 (2020). MSC: 35P20 35J46 35R01 35S05 58J05 PDFBibTeX XMLCite \textit{Z. Avetisyan} et al., Oper. Theory: Adv. Appl. 276, 120--153 (2020; Zbl 1445.35270) Full Text: DOI arXiv
Barseghyan, Diana; Exner, Pavel Spectral geometry in a rotating frame: properties of the ground state. (English) Zbl 1440.81037 J. Math. Anal. Appl. 489, No. 1, Article ID 124130, 12 p. (2020). MSC: 81Q10 58J50 PDFBibTeX XMLCite \textit{D. Barseghyan} and \textit{P. Exner}, J. Math. Anal. Appl. 489, No. 1, Article ID 124130, 12 p. (2020; Zbl 1440.81037) Full Text: DOI arXiv
Alexandrov, Victor The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in \(\mathbb{R}^d\) does not always remain unaltered during the flex. (English) Zbl 1440.52019 J. Geom. 111, No. 2, Paper No. 32, 14 p. (2020). MSC: 52C25 52B70 51M20 35J05 35P20 58J50 PDFBibTeX XMLCite \textit{V. Alexandrov}, J. Geom. 111, No. 2, Paper No. 32, 14 p. (2020; Zbl 1440.52019) Full Text: DOI arXiv
Pollack, Paul; Pomerance, Carl Eigenvalues of the Laplacian on domains with fractal boundary. (English) Zbl 1427.58013 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, 267-277 (2019). MSC: 58J50 35P20 11M06 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{C. Pomerance}, Contemp. Math. 731, 267--277 (2019; Zbl 1427.58013) Full Text: DOI Link
Bär, Christian The curl operator on odd-dimensional manifolds. (English) Zbl 1433.78002 J. Math. Phys. 60, No. 3, 031501, 16 p. (2019). MSC: 78A25 35Q61 47F05 53A45 53C21 58J90 35P15 PDFBibTeX XMLCite \textit{C. Bär}, J. Math. Phys. 60, No. 3, 031501, 16 p. (2019; Zbl 1433.78002) Full Text: DOI arXiv
Nishitani, Tatsuo The Cauchy problem for differential operators with double characteristics. (English. Japanese original) Zbl 1403.35148 Sugaku Expo. 31, No. 2, 169-197 (2018); translation from Sūgaku 66, No. 4, 366-391 (2014). MSC: 35L15 35L30 58J47 35A21 PDFBibTeX XMLCite \textit{T. Nishitani}, Sugaku Expo. 31, No. 2, 169--197 (2018; Zbl 1403.35148); translation from Sūgaku 66, No. 4, 366--391 (2014) Full Text: DOI
Morris, Charles; Taheri, Ali On Weyl’s asymptotics and remainder term for the orthogonal and unitary groups. (English) Zbl 1385.58005 J. Fourier Anal. Appl. 24, No. 1, 184-209 (2018). MSC: 58C40 58J37 53C22 22C05 42B10 PDFBibTeX XMLCite \textit{C. Morris} and \textit{A. Taheri}, J. Fourier Anal. Appl. 24, No. 1, 184--209 (2018; Zbl 1385.58005) Full Text: DOI arXiv Link
Akhiezer, Dmitri; Kazarnovskii, Boris An estimate for the average number of common zeros of Laplacian eigenfunctions. (English. Russian original) Zbl 1395.53057 Trans. Mosc. Math. Soc. 2017, 123-130 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 145-154 (2017). MSC: 53C30 58J50 53C21 PDFBibTeX XMLCite \textit{D. Akhiezer} and \textit{B. Kazarnovskii}, Trans. Mosc. Math. Soc. 2017, 123--130 (2017; Zbl 1395.53057); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 145--154 (2017) Full Text: DOI arXiv
Hezari, Hamid; Lu, Zhiqin; Rowlett, Julie The Neumann isospectral problem for trapezoids. (English) Zbl 1381.58017 Ann. Henri Poincaré 18, No. 12, 3759-3792 (2017). MSC: 58J53 58J47 37D40 35L05 PDFBibTeX XMLCite \textit{H. Hezari} et al., Ann. Henri Poincaré 18, No. 12, 3759--3792 (2017; Zbl 1381.58017) Full Text: DOI arXiv
Christiansen, T. J. A sharp lower bound for a resonance-counting function in even dimensions. (Minoration optimale de la fonction de comptage des résonances en dimension paire.) (English. French summary) Zbl 1393.35136 Ann. Inst. Fourier 67, No. 2, 579-604 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P25 58J50 35P20 47A40 PDFBibTeX XMLCite \textit{T. J. Christiansen}, Ann. Inst. Fourier 67, No. 2, 579--604 (2017; Zbl 1393.35136) Full Text: DOI arXiv
Liu, Genqian On asymptotic properties of biharmonic Steklov eigenvalues. (English) Zbl 1346.35138 J. Differ. Equations 261, No. 9, 4729-4757 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35P20 58C40 58J50 PDFBibTeX XMLCite \textit{G. Liu}, J. Differ. Equations 261, No. 9, 4729--4757 (2016; Zbl 1346.35138) Full Text: DOI
Boscain, U.; Prandi, D.; Seri, M. Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. (English) Zbl 1342.35196 Commun. Partial Differ. Equations 41, No. 1, 32-50 (2016). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P20 53Bxx 53C17 58J05 PDFBibTeX XMLCite \textit{U. Boscain} et al., Commun. Partial Differ. Equations 41, No. 1, 32--50 (2016; Zbl 1342.35196) Full Text: DOI arXiv Link
Li, Liangpan; Strohmaier, Alexander The local counting function of operators of Dirac and Laplace type. (English) Zbl 1334.35189 J. Geom. Phys. 104, 204-228 (2016). MSC: 35P20 35R01 35Q41 58J42 PDFBibTeX XMLCite \textit{L. Li} and \textit{A. Strohmaier}, J. Geom. Phys. 104, 204--228 (2016; Zbl 1334.35189) Full Text: DOI arXiv
Kiran, N. Uday; Nagaraj, B. R. A note on a class of Fuchsian operators. (English) Zbl 1314.58016 J. Pseudo-Differ. Oper. Appl. 4, No. 4, 479-493 (2013). Reviewer: Sönke Hansen (Paderborn) MSC: 58J47 35S05 47G30 58J40 PDFBibTeX XMLCite \textit{N. U. Kiran} and \textit{B. R. Nagaraj}, J. Pseudo-Differ. Oper. Appl. 4, No. 4, 479--493 (2013; Zbl 1314.58016) Full Text: DOI
Sogge, Christopher D. Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions. (English) Zbl 1234.35156 Tohoku Math. J. (2) 63, No. 4, Centen. Iss., 519-538 (2011). MSC: 35P05 35J05 58J50 PDFBibTeX XMLCite \textit{C. D. Sogge}, Tôhoku Math. J. (2) 63, No. 4, 519--538 (2011; Zbl 1234.35156) Full Text: DOI arXiv
Liu, Genqian The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds. (English) Zbl 1228.35163 Adv. Math. 228, No. 4, 2162-2217 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 58C40 58J50 PDFBibTeX XMLCite \textit{G. Liu}, Adv. Math. 228, No. 4, 2162--2217 (2011; Zbl 1228.35163) Full Text: DOI arXiv
Liu, Genqian Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds. (English) Zbl 1209.53027 J. Math. Anal. Appl. 376, No. 1, 349-364 (2011). Reviewer: Jan Kurek (Lublin) MSC: 53C21 58J50 PDFBibTeX XMLCite \textit{G. Liu}, J. Math. Anal. Appl. 376, No. 1, 349--364 (2011; Zbl 1209.53027) Full Text: DOI arXiv
Kamotski, Ilia; Ruzhansky, Michael Regularity properties, representation of solutions, and spectral asymptotics of systems with multiplicities. (English) Zbl 1132.35055 Commun. Partial Differ. Equations 32, No. 1, 1-35 (2007). Reviewer: Otto Liess (Bologna) MSC: 35L45 35S30 58J40 35A21 PDFBibTeX XMLCite \textit{I. Kamotski} and \textit{M. Ruzhansky}, Commun. Partial Differ. Equations 32, No. 1, 1--35 (2007; Zbl 1132.35055) Full Text: DOI arXiv
Marklof, Jens Quantum leaks. (English) Zbl 1233.58004 Commun. Math. Phys. 264, No. 2, 303-316 (2006). MSC: 58J50 35J05 35P20 58J90 81Q50 PDFBibTeX XMLCite \textit{J. Marklof}, Commun. Math. Phys. 264, No. 2, 303--316 (2006; Zbl 1233.58004) Full Text: DOI arXiv
Khosravi, Mahta; Toth, John A. Cramér’s formula for Heisenberg manifolds. (English) Zbl 1090.58018 Ann. Inst. Fourier 55, No. 7, 2489-2520 (2005). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 58J50 31C12 PDFBibTeX XMLCite \textit{M. Khosravi} and \textit{J. A. Toth}, Ann. Inst. Fourier 55, No. 7, 2489--2520 (2005; Zbl 1090.58018) Full Text: DOI Numdam Numdam EuDML
Hitrik, Michael; Sjöstrand, Johannes Nonselfadjoint perturbations of selfadjoint operators in two dimensions: II. Vanishing averages. (English) Zbl 1096.47053 Commun. Partial Differ. Equations 30, No. 7, 1065-1106 (2005). Reviewer: Alberto Parmeggiani (Bologna) MSC: 47G30 37J40 35P15 35P20 37J45 47A55 53D12 58J37 58J40 81Q10 PDFBibTeX XMLCite \textit{M. Hitrik} and \textit{J. Sjöstrand}, Commun. Partial Differ. Equations 30, No. 7, 1065--1106 (2005; Zbl 1096.47053) Full Text: DOI arXiv
Cheng, Qing-Ming; Yang, Hongcang Estimates on eigenvalues of Laplacian. (English) Zbl 1122.35086 Math. Ann. 331, No. 2, 445-460 (2005). MSC: 35P15 58J50 53C42 PDFBibTeX XMLCite \textit{Q.-M. Cheng} and \textit{H. Yang}, Math. Ann. 331, No. 2, 445--460 (2005; Zbl 1122.35086) Full Text: DOI
Burq, N.; Gérard, P.; Tzvetkov, N. Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. (English) Zbl 1092.35099 Invent. Math. 159, No. 1, 187-223 (2005). Reviewer: Horst Lange (Köln) MSC: 35Q55 58J32 35B30 35P15 35Q40 PDFBibTeX XMLCite \textit{N. Burq} et al., Invent. Math. 159, No. 1, 187--223 (2005; Zbl 1092.35099) Full Text: DOI arXiv
Inahama, Yuzuru; Shirai, Shin-Ichi Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces. (English) Zbl 1072.35136 J. Math. Pures Appl. (9) 83, No. 5, 589-627 (2004). Reviewer: Heinz Siedentop (München) MSC: 35P20 81Q10 47F05 58J50 PDFBibTeX XMLCite \textit{Y. Inahama} and \textit{S.-I. Shirai}, J. Math. Pures Appl. (9) 83, No. 5, 589--627 (2004; Zbl 1072.35136) Full Text: DOI
Inahama, Yuzuru; Shirai, Shin-ichi Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane. (English) Zbl 1062.35051 J. Funct. Anal. 211, No. 2, 424-456 (2004). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P20 58J60 35J10 47F05 PDFBibTeX XMLCite \textit{Y. Inahama} and \textit{S.-i. Shirai}, J. Funct. Anal. 211, No. 2, 424--456 (2004; Zbl 1062.35051) Full Text: DOI
Ivrii, Victor Sharp spectral asymptotics for operators with irregular coefficients. II: Domains with boundaries and degenerations. (English) Zbl 1027.58020 Commun. Partial Differ. Equations 28, No. 1-2, 103-128 (2003). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 58J37 35P20 PDFBibTeX XMLCite \textit{V. Ivrii}, Commun. Partial Differ. Equations 28, No. 1--2, 103--128 (2003; Zbl 1027.58020) Full Text: DOI
Bronstein, Mikhail; Ivrii, Victor Sharp spectral asymptotics for operators with irregular coefficients. I: Pushing the limits. (English) Zbl 1027.58019 Commun. Partial Differ. Equations 28, No. 1-2, 83-102 (2003). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 58J37 35P20 PDFBibTeX XMLCite \textit{M. Bronstein} and \textit{V. Ivrii}, Commun. Partial Differ. Equations 28, No. 1--2, 83--102 (2003; Zbl 1027.58019) Full Text: DOI
Sogge, Christopher D.; Zelditch, Steve Riemannian manifolds with maximal eigenfunction growth. (English) Zbl 1018.58010 Duke Math. J. 114, No. 3, 387-437 (2002). Reviewer: Peter B.Gilkey (Eugene) MSC: 58J05 58J50 35P20 PDFBibTeX XMLCite \textit{C. D. Sogge} and \textit{S. Zelditch}, Duke Math. J. 114, No. 3, 387--437 (2002; Zbl 1018.58010) Full Text: DOI arXiv
Christiansen, T. Weyl asymptotics for the Laplacian on manifolds with asymptotically cusp ends. (English) Zbl 0991.58005 J. Funct. Anal. 187, No. 1, 211-226 (2001). Reviewer: Mircea Puta (Timişoara) MSC: 58J37 58J50 PDFBibTeX XMLCite \textit{T. Christiansen}, J. Funct. Anal. 187, No. 1, 211--226 (2001; Zbl 0991.58005) Full Text: DOI
Shubin, Mikhail Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds. (English) Zbl 0997.58021 J. Funct. Anal. 186, No. 1, 92-116 (2001). MSC: 58J60 35Q55 47N20 PDFBibTeX XMLCite \textit{M. Shubin}, J. Funct. Anal. 186, No. 1, 92--116 (2001; Zbl 0997.58021) Full Text: DOI arXiv
Deng, Hong; Peng, Gongwen Eigenvalues for high order elliptic operators in a fractal string. (English) Zbl 1032.35147 Fractals 7, No. 3, 267-275 (1999). MSC: 35P20 28A80 58J50 PDFBibTeX XMLCite \textit{H. Deng} and \textit{G. Peng}, Fractals 7, No. 3, 267--275 (1999; Zbl 1032.35147) Full Text: DOI
Nagaraj, B. R. Propagation of singularities for a class of Fuchsian operators. (English) Zbl 0912.58040 Commun. Partial Differ. Equations 23, No. 3-4, 547-575 (1998). Reviewer: Th.M.Rassias (Athens) MSC: 58J47 58J40 PDFBibTeX XMLCite \textit{B. R. Nagaraj}, Commun. Partial Differ. Equations 23, No. 3--4, 547--575 (1998; Zbl 0912.58040) Full Text: DOI
Molchanov, S.; Vainberg, B. On spectral asymptotics for domains with fractal boundaries. (English) Zbl 0867.58068 Commun. Math. Phys. 183, No. 1, 85-117 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 58J37 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, Commun. Math. Phys. 183, No. 1, 85--117 (1997; Zbl 0867.58068) Full Text: DOI
Chen, Hua; Sleeman, B. D. Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. (English) Zbl 0841.35075 Commun. Math. Phys. 168, No. 3, 581-607 (1995). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P20 35J20 58J50 PDFBibTeX XMLCite \textit{H. Chen} and \textit{B. D. Sleeman}, Commun. Math. Phys. 168, No. 3, 581--607 (1995; Zbl 0841.35075) Full Text: DOI
Zelditch, Steven On the rate of quantum ergodicity. II: Lower bounds. (English) Zbl 0814.58042 Commun. Partial Differ. Equations 19, No. 9-10, 1565-1579 (1994). Reviewer: U.Hamenstädt (Bonn) MSC: 58J50 58J40 35P99 PDFBibTeX XMLCite \textit{S. Zelditch}, Commun. Partial Differ. Equations 19, No. 9--10, 1565--1579 (1994; Zbl 0814.58042) Full Text: DOI
Lascar, B.; Lascar, R. Propagation des singularités Gevrey pour la diffraction. (Propagation of Gevrey singularities for diffraction). (French) Zbl 0734.35166 Commun. Partial Differ. Equations 16, No. 4-5, 547-584 (1991). Reviewer: L.Rodino (Torino) MSC: 35S15 58J47 35A20 PDFBibTeX XMLCite \textit{B. Lascar} and \textit{R. Lascar}, Commun. Partial Differ. Equations 16, No. 4--5, 547--584 (1991; Zbl 0734.35166) Full Text: DOI
Taniguchi, Kazuo A fundamental solution for a degenerate hyperbolic operator of second order and Fourier integral operators of complex phase. (English) Zbl 0742.35079 Commun. Partial Differ. Equations 16, No. 12, 1879-1924 (1991). MSC: 35S30 35L67 35L80 58J47 35A08 PDFBibTeX XMLCite \textit{K. Taniguchi}, Commun. Partial Differ. Equations 16, No. 12, 1879--1924 (1991; Zbl 0742.35079) Full Text: DOI
Volovoy, A. V. Improved two-term asymptotics for the eigenvalue distribution function of an elliptic operator on a compact manifold. (English) Zbl 0724.35081 Commun. Partial Differ. Equations 15, No. 11, 1509-1563 (1990). Reviewer: M.Idemen (İstanbul) MSC: 35P20 35J15 58J50 35S05 PDFBibTeX XMLCite \textit{A. V. Volovoy}, Commun. Partial Differ. Equations 15, No. 11, 1509--1563 (1990; Zbl 0724.35081) Full Text: DOI
Safarov, Yu. G. Asymptotic of the spectral function of a positive elliptic operator without the nontrap condition. (English. Russian original) Zbl 0679.35074 Funct. Anal. Appl. 22, No. 3, 213-223 (1988); translation from Funkts. Anal. Prilozh. 22, No. 3, 53-65 (1988). Reviewer: M.A.Perelmuter MSC: 35P20 35S05 58J40 58J50 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Funct. Anal. Appl. 22, No. 3, 213--223 (1988; Zbl 0679.35074); translation from Funkts. Anal. Prilozh. 22, No. 3, 53--65 (1988) Full Text: DOI
Cicognani, M.; Corli, A. Propagation of singularities for operators with contant coefficient hyperbolic-elliptic principal part. (English) Zbl 0653.35084 Ann. Mat. Pura Appl., IV. Ser. 147, 303-341 (1987). Reviewer: R.Vaillancourt MSC: 35S05 37D40 53D25 35A27 35B60 58J15 35B40 PDFBibTeX XMLCite \textit{M. Cicognani} and \textit{A. Corli}, Ann. Mat. Pura Appl. (4) 147, 303--341 (1987; Zbl 0653.35084) Full Text: DOI
Nagaraj, Baliganahalli Raja Iyengar Micro-local analysis of operators with noninvolutive characteristics. (English) Zbl 0608.58041 Bull. Aust. Math. Soc. 35, 149-151 (1987). Reviewer: M.Puta MSC: 58J40 58J47 35S99 PDFBibTeX XMLCite \textit{B. R. I. Nagaraj}, Bull. Aust. Math. Soc. 35, 149--151 (1987; Zbl 0608.58041) Full Text: DOI
Brossard, Jean; Carmona, René Can one hear the dimension of a fractal? (English) Zbl 0607.58043 Commun. Math. Phys. 104, 103-122 (1986). MSC: 58J50 35P20 58J65 37-XX PDFBibTeX XMLCite \textit{J. Brossard} and \textit{R. Carmona}, Commun. Math. Phys. 104, 103--122 (1986; Zbl 0607.58043) Full Text: DOI
Melrose, Richard B. The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two. (English) Zbl 0599.35139 J. Anal. Math. 44, 134-182 (1985). Reviewer: B.Helffer MSC: 35S05 58J40 35P15 65H10 PDFBibTeX XMLCite \textit{R. B. Melrose}, J. Anal. Math. 44, 134--182 (1985; Zbl 0599.35139) Full Text: DOI
Tahara, Hidetoshi Cauchy problems for Fuchsian hyperbolic equations in spaces of functions of Gevrey classes. (English) Zbl 0586.35060 Proc. Japan Acad., Ser. A 61, 63-65 (1985). Reviewer: P.Jeanquartier MSC: 35L30 35B30 46E35 35A05 58J47 PDFBibTeX XMLCite \textit{H. Tahara}, Proc. Japan Acad., Ser. A 61, 63--65 (1985; Zbl 0586.35060) Full Text: DOI
Bérard, Pierre H. Remarques sur la conjecture de Weyl. (Remarks on the conjecture of Weyl). (French) Zbl 0538.58037 Compos. Math. 48, 35-53 (1983). Reviewer: V.Ivrii MSC: 58J50 35P20 58J60 PDFBibTeX XMLCite \textit{P. H. Bérard}, Compos. Math. 48, 35--53 (1983; Zbl 0538.58037) Full Text: Numdam EuDML
Mendoza, G. A.; Uhlmann, G. A. A necessary condition for local solvability for a class of operators with double characteristics. (English) Zbl 0516.58041 J. Funct. Anal. 52, 252-256 (1983). MSC: 58J40 35L25 PDFBibTeX XMLCite \textit{G. A. Mendoza} and \textit{G. A. Uhlmann}, J. Funct. Anal. 52, 252--256 (1983; Zbl 0516.58041) Full Text: DOI
Oaku, Toshinori A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities. (English) Zbl 0493.35083 Invent. Math. 65, 491-525 (1982). MSC: 35S05 35L67 58J47 PDFBibTeX XMLCite \textit{T. Oaku}, Invent. Math. 65, 491--525 (1982; Zbl 0493.35083) Full Text: DOI EuDML