Publications

Hynek Kovarik, and Timo Weidl. Improved Berezin-Li-Yau inequalities with magnetic field.. Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics, (145A)1:145-160, Cambridge Univ. Press, 2015. [PUMA: iadm from:elkepeter field magnetic weidl]

André Hänel, and Timo Weidl. Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack.. Quarterly journal of mechanics and applied mathematics, (69)4:319-352, Oxford Univ. Press, 2016. [PUMA: iadm from:elkepeter Hänel elastic Weidl]

Hynek Kovarik, Bartosch Ruszkowski, and Timo Weidl. Spectral estimates for the Heisenberg Laplacian on cylinders.. Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), 433-446, 2017. [PUMA: Ruszkowski iadm Heisenberg from:elkepeter Kovarik Spectral estimates weidl Laplacian]

Hynek Kovar\'ık, Bartosch Ruszkowski, and Timo Weidl. Melas-type bounds for the Heisenberg Laplacian on bounded domains. Journal of Spectral Theory, (8)2:413--434, European Mathematical Society Publishing House, February 2018. [PUMA: Heisenberg IADM from:elkepeter Weidl Laplacian] URL

Clemens Förster, and Timo Weidl. Trapped modes in an elastic plate with a hole.. Rossiĭskaya Akademiya Nauk. Algebra i Analiz, (23)1:255-288, 2011. [PUMA: iadm from:elkepeter Förster elastic plate weidl]

Hynek Kovarik, and Timo Weidl. Improved Berezin-Li-Yau inequalities with magnetic field.. Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics, (145)1:145-160, Cambridge Univ. Press, 2015. [PUMA: iadm from:elkepeter field magnetic weidl]

Timo Weidl. Estimates for operators of the form b(x)a(D) in non-powerlike ideals.. St.-Petersburg Mathematical Journal, (5)5:907-923, 1994. [PUMA: IADM from:elkepeter Weidl estimates]

Clemens Förster, and Timo Weidl. Trapped modes in an elastic plate with a hole.. St. Petersburg Mathematical Journal, (23)1:179-202, 2012. [PUMA: iadm from:elkepeter Förster elastic plate Weidl]

Leander Geisinger, and Timo Weidl. Sharp spectral estimates in domains of infinite volume.. Reviews in Mathematical Physics., (23)2011. [PUMA: geisinger iadm from:elkepeter spectral estimates weidl]

Leander Geisinger, and Timo Weidl. Sharp spectral estimates in domains of infinite volume.. Reviews in Mathematical Physics., (23)6:615-641, 2011. [PUMA: geisinger iadm from:elkepeter spectral estimates weidl]

Timo Weidl. Semiclassical Spectral Bounds and Beyond.. In World Scientific Publishing (Eds.), Mathematical results in quantum physics, 110-129, 2011. [PUMA: iadm from:elkepeter Bounds Weidl Spectral] URL

Leander Geisinger, Ari Laptev, and Timo Weidl. Geometrical versions of improved Berezin-Li-Yau inequalities.. Journal of Spectral Theory 1., 1:87-109, 2011. [PUMA: iadm geometrical from:elkepeter Berezin-Li-Yau Geisinger weidl] URL

Leander Geisinger, and Timo Weidl. Universal bounds for traces of the Dirichlet Laplace operator.. 2010. [PUMA: iadm geinsinger from:elkepeter Dirichlet Laplace weidl]

Leander Geisinger, and Timo Weidl. Universal bounds for traces of the Dirichlet Laplace operator.. Journal of the London Mathematical Society. Second Series, (82)2:395-419, 2010. [PUMA: iadm geinsinger from:elkepeter Dirichlet Laplace weidl] URL

Timo Vaıdl\cprime. General operator ideals of weak type. Algebra i Analiz, (4)3:117--144, 1992. [PUMA: from:elkepeter weidl]

T. Vaıdl\cprime. Estimates for operators of type $b(x)a(D)$ in nonpower ideals. Algebra i Analiz, (5)5:47--67, 1993. [PUMA: from:elkepeter Weidl]

M. Sh. Birman, and T. Weidl. The discrete spectrum in a gap of the continuous one for compact supported perturbations. Mathematical results in quantum mechanics (Blossin, 1993), (70):9--12, Birkhäuser, Basel, 1994. [PUMA: Weidl from:elkepeter] URL

Timo Weidl. Cwikel type estimates in non-power ideals. Math. Nachr., (176):315--334, 1995. [PUMA: from:elkepeter Weidl] URL

Timo Weidl. On the discrete spectrum of partial differential and integral operators. 136, ProQuest LLC, Ann Arbor, MI, 1995. [PUMA: Weidl from:elkepeter] URL

Timo Weidl. On the Lieb-Thirring constants $L_\gamma,1$ for $\gamma1/2$. Comm. Math. Phys., (178)1:135--146, 1996. [PUMA: Weidl from:elkepeter] URL

Y. Netrusov, and T. Weidl. On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. Comm. Math. Phys., (182)2:355--370, 1996. [PUMA: Weidl from:elkepeter higher operators order] URL

I. Roitberg, D. Vassiliev, and T. Weidl. Edge resonance in an elastic semi-strip. Quart. J. Mech. Appl. Math., (51)1:1--13, 1998. [PUMA: Weidl from:elkepeter] URL

Timo Weidl. Remarks on virtual bound states for semi-bounded operators. Comm. Partial Differential Equations, (24)1-2:25--60, 1999. [PUMA: Weidl from:elkepeter] URL

Timo Weidl. Eigenvalue asymptotics for locally perturbed second-order differential operators. J. London Math. Soc. (2), (59)1:227--251, 1999. [PUMA: Eigenvalue IADM Weidl asymptotics from:elkepeter] URL

Ari Laptev, and Timo Weidl. Hardy inequalities for magnetic Dirichlet forms. Mathematical results in quantum mechanics (Prague, 1998), (108):299--305, Birkhäuser, Basel, 1999. [PUMA: from:elkepeter Weidl]

Timo Weidl. Another look at Cwikel's inequality. Differential operators and spectral theory, (189):247--254, Amer. Math. Soc., Providence, RI, 1999. [PUMA: from:elkepeter Weidl] URL

Timo Weidl. A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields. The Mazya anniversary collection, Vol. 2 (Rostock, 1998), (110):345--352, Birkhäuser, Basel, 1999. [PUMA: Hardy IADM Weidl from:elkepeter inequalities type]

Ari Laptev, and Timo Weidl. Sharp Lieb-Thirring inequalities in high dimensions. Acta Math., (184)1:87--111, 2000. [PUMA: IADM Lieb-Thirring Sharp Weidl dimensions from:elkepeter high inequalities] URL

D. Hundertmark, A. Laptev, and T. Weidl. New bounds on the Lieb-Thirring constants. Invent. Math., (140)3:693--704, 2000. [PUMA: Lieb-Thirring Weidl bounds constants from:elkepeter] URL

Ari Laptev, and Timo Weidl. Recent results on Lieb-Thirring inequalities. Journées ``Équations aux Dérivées Partielles'' (La Chapelle sur Erdre, 2000), Exp. No. XX, 14, Univ. Nantes, Nantes, 2000. [PUMA: IADM Lieb-Thirring Weidl from:elkepeter inequalities]

Pavel Exner, and Timo Weidl. Lieb-Thirring inequalities on trapped modes in quantum wires. XIIIth International Congress on Mathematical Physics (London, 2000), 437--443, Int. Press, Boston, MA, 2001. [PUMA: IADM wires from:elkepeter Weidl quantum]

Ari Laptev, Oleg Safronov, and Timo Weidl. Bound state asymptotics for elliptic operators with strongly degenerated symbols. Nonlinear problems in mathematical physics and related topics, I, (1):233--246, Kluwer/Plenum, New York, 2002. [PUMA: Weidl asymptotics elliptic from:elkepeter operators] URL

Semjon Vugalter, and Timo Weidl. On the discrete spectrum of a pseudo-relativistic two-body pair operator. Ann. Henri Poincaré, (4)2:301--341, 2003. [PUMA: Weidl discrete from:elkepeter iadm pseudo-relativistic spectrum] URL

Pavel Exner, Helmut Linde, and Timo Weidl. Lieb-Thirring inequalities for geometrically induced bound states. Lett. Math. Phys., (70)1:83--95, 2004. [PUMA: IADM Weidl bound from:elkepeter geometrically induced states] URL

C. Förster, and T. Weidl. Trapped modes for an elastic strip with perturbation of the material properties. Quart. J. Mech. Appl. Math., (59)3:399--418, 2006. [PUMA: IADM from:elkepeter elastic Weidl] URL

Hynek Kovar\'ık, Semjon Vugalter, and Timo Weidl. Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers. Comm. Math. Phys., (275)3:827--838, 2007. [PUMA: IADM from:elkepeter Weidl Spectral estimates] URL

Timo Weidl. Nonstandard Cwikel type estimates. Interpolation theory and applications, (445):337--357, Amer. Math. Soc., Providence, RI, 2007. [PUMA: IADM Nonstandard from:elkepeter Weidl Cwikel estimates type] URL

Rupert L. Frank, Barry Simon, and Timo Weidl. Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states. Comm. Math. Phys., (282)1:199--208, 2008. [PUMA: Eigenvalue IADM Jacobi Weidl bounds from:elkepeter matrices perturbations] URL

Timo Weidl. Improved Berezin-Li-Yau inequalities with a remainder term. Spectral theory of differential operators, (225):253--263, Amer. Math. Soc., Providence, RI, 2008. [PUMA: Berezin-Li-Yau Improved Weidl a from:elkepeter inequalities remainder term with] URL

Hynek Kovar\'ık, Semjon Vugalter, and Timo Weidl. Two-dimensional Berezin-Li-Yau inequalities with a correction term. Comm. Math. Phys., (287)3:959--981, 2009. [PUMA: Berezin-Li-Yau IADM Two-dimensional Weidl a correction from:elkepeter inequalities term with] URL

Rupert L. Frank, Michael Loss, and Timo Weidl. Pólya's conjecture in the presence of a constant magnetic field. J. Eur. Math. Soc. (JEMS), (11)6:1365--1383, 2009. [PUMA: Weidl from:elkepeter] URL

Rafael D. Benguria, Andrea Cianchi, Vladimir G. Maz'ya, E. Brian Davies, Leon A. Takhtajan, Christiane Tretter, Dmitri Yafaev, and und weitere. Partial differential equations, spectral theory, and mathematical physics—the Ari Laptev anniversary volume.. In Pavel Exner, Rupert L. Frank, Fritz Gesztesy, Helge Holden, and Timo Weidl (Eds.), EMS Series of Congress Reports, EMS Press, Berlin, June 2021. [PUMA: iadm from:elkepeter weidl] URL

Rupert Frank, Ari Laptev, and Timo Weidl. Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities. In Cambridge University Press. (Eds.), Cambridge Studies in Advanced Mathematics, 512, 2022. [PUMA: iadm from:elkepeter weidl]

Rupert L. Frank, Ari Laptev, and Timo Weidl. An improved one-dimensional Hardy inequality. 2022. [PUMA: iadm from:elkepeter weidl] URL

Rupert L. Frank, Ari Laptev, and Timo Weidl. An improved one-dimensional Hardy inequality. 2022. [PUMA: iadm from:elkepeter weidl] URL

Rupert Frank, Ari Laptev, and Timo Weidl. Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities. In Cambridge University Press. (Eds.), Cambridge Studies in Advanced Mathematics, 512, 2022. [PUMA: iadm from:elkepeter weidl]

Rupert Frank, Ari Laptev, and Timo Weidl. Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities. Cambridge Studies in Advanced Mathematics, 512, 2022. [PUMA: iadm from:elkepeter weidl]

Rupert Frank, Ari Laptev, and Timo Weidl. Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities. 512, Cambridge University Press, 2022. [PUMA: iadm from:elkepeter weidl]

Hynek Kovar\'ık, and Timo Weidl. Improved Berezin-Li-Yau inequalities with magnetic field. In Cambridge Univ. Press (Eds.), Proc. Roy. Soc. Edinburgh Sect. A, (145)1:145-160, 2015. [PUMA: Berezin with inequalities from:elkepeter field Weidl Kovarik magnetic] URL

R. L. Frank, A. Laptev, and T. Weidl. An improved one-dimensional Hardy inequality. J. Math. Sci. (N.Y.), (268)3, Problems in mathematical analysis. No. 118:323--342, 2022. [PUMA: inequality iadm from:elkepeter improved one-dimensional Hardy weidl] URL