Publications of Matthias Langer
My publications can also be found on the following web pages:
- MathSciNet (restricted access)
- zbMATH Open (Zentralblatt)
- Strathprints (with preprints to download)
- ORCID (ID: 0000-0001-8813-7914)
- Google Scholar
- arXiv
Articles
| [61] |
M. Langer and H. Woracek, Karamata's theorem for regularised Cauchy transforms, Proc. Roy. Soc. Edinburgh Sect. A, to appear abstract journal |
| [60] |
M. Langer, R. Pruckner and H. Woracek, Estimates for the Weyl coefficient of a two-dimensional canonical system, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), to appear abstract |
| [59] |
L. Kerr, W. Lamb and M. Langer, Discrete fragmentation equations with time-dependent coefficients, Discrete Contin. Dyn. Syst. Ser. S, to appear abstract journal |
| [58] |
M. Langer, R. Pruckner and H. Woracek, Canonical systems whose Weyl coefficients have dominating real part, J. Anal. Math., to appear abstract journal |
| [57] |
S. McLauchlan, Y. Han, M. Langer and A. Majumdar, The radial hedgehog solution in the Landau–de Gennes theory: effects of the bulk potentials, Phys. D 459 (2024), 134019, 16 pp. abstract journal |
| [56] |
M. Langer and H. Woracek, Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints, in "Function Spaces, Theory and Applications", Fields Institute Communications, vol. 87, Springer, Cham, 2023, pp. 105–205. abstract article |
| [55] |
L. Kerr, W. Lamb and M. Langer, Discrete fragmentation systems in weighted ℓ1 spaces, J. Evol. Equ. 20 (2020), 1419–1451 abstract journal |
| [54] |
J. Giribet, M. Langer, F. Martínez Pería, F. Philipp and C. Trunk, Spectral enclosures for a class of block operator matrices, J. Funct. Anal. 278 (2020), 108455, 30 pp. abstract journal |
| [53] |
E. Estrada, E. Hameed, M. Langer and A. Puchalska, Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional lattice, Linear Algebra Appl. 555 (2018), 373–397 abstract journal |
| [52] |
J. Behrndt, M. Langer, V. Lotoreichik and J. Rohleder, Spectral enclosures for non-self-adjoint extensions of symmetric operators, J. Funct. Anal. 275 (2018), 1808–1888 abstract journal |
| [51] |
J. Giribet, M. Langer, L. Leben, A. Maestripieri, F. Martínez Pería and C. Trunk, Spectrum of J-frame operators, Opuscula Math. 38 (2018), 623–649 abstract journal |
| [50] |
N. Cooper, E. Da Ros, J. Nute, D. Baldolini, P. Jouve, L. Hackermüller and M. Langer, Collimated dual species oven source and its characterisation via spatially resolved fluorescence spectroscopy, J. Phys. D 51 (2018), 105602, 8 pp. abstract journal |
| [49] |
J. Behrndt, M. Langer, V. Lotoreichik and J. Rohleder, Quasi boundary triples and semibounded self-adjoint extensions, Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), 895–916 abstract journal |
| [48] |
J. Behrndt, M. Langer and V. Lotoreichik, Trace formulae for Schrödinger operators with singular interactions, in "Functional Analysis and Operator Theory for Quantum Physics", European Math. Soc., Zürich, 2017, pp. 129–152 abstract link |
| [47] |
M. Langer and M. Strauss, Spectral properties of unbounded J-self-adjoint block operator matrices, J. Spectr. Theory 7 (2017), 137–190 abstract journal |
| [46] |
E. Estrada, E. Hameed, N. Hatano and M. Langer, Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case, Linear Algebra Appl. 523 (2017), 307–334 abstract journal |
| [45] |
B. Jacob, M. Langer and C. Trunk, Variational principles for self-adjoint operator functions arising from second order systems, Oper. Matrices 10 (2016), 501–531 abstract journal |
| [44] |
J. Behrndt, M. Langer and V. Lotoreichik, Boundary triples for Schrödinger operators with singular interactions on hypersurfaces, Nanosystems: Phys. Chem. Math. 7 (2016), 290–302 abstract journal |
| [43] |
M. Langer and M. Strauss, Triple variational principles for self-adjoint operator functions, J. Funct. Anal. 270 (2016), 2019–2047 abstract journal |
| [42] |
J. Behrndt, G. Grubb, M. Langer and V. Lotoreichik, Spectral asymptotics for resolvent differences of elliptic operators with δ and δ'-interactions on hypersurfaces, J. Spectr. Theory 5 (2015), 697–729 abstract journal |
| [41] |
B.R. Duffy, M. Langer and S.K. Wilson, Closed-form solutions of a thermocapillary free-film problem due to Pukhnachev, European J. Appl. Math. 26 (2015), 721–741 abstract journal |
| [40] |
M. Langer and H. Woracek, Distributional representations of 𝒩κ(∞)-functions, Math. Nachr. 288 (2015), 1127–1149 abstract journal |
| [39] |
M. Langer and H. Woracek, Stability of N-extremal measures, Methods Funct. Anal. Topology 21 (2015), 69–75 abstract journal |
| [38] |
K.M.M. Tant, A.J. Mulholland, M. Langer and A. Gachagan, A fractional Fourier transform analysis of the scattering of ultrasonic waves, Proc. R. Soc. Lond. Ser. A 471 (2015), 20140958, 14 pp. abstract journal |
| [37] |
M. Langer and H. Woracek, Stability of the derivative of a canonical product, Complex Anal. Oper. Theory 8 (2014), 1183–1224 abstract journal |
| [36] |
O.O. Ibrogimov, H. Langer, M. Langer and C. Tretter, Essential spectrum of systems of singular differential equations, Acta Sci. Math. (Szeged) 79 (2013), 423–465 abstract journal |
| [35] |
J. Banasiak, W. Lamb and M. Langer, Strong fragmentation and coagulation with power-law rates, J. Engrg. Math. 82 (2013), 199–215 abstract journal |
| [34] |
M. Langer and H. Woracek, Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type, Oper. Matrices 7 (2013), 477–555 abstract journal |
| [33] |
J. Behrndt, M. Langer and V. Lotoreichik, Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators, J. London Math. Soc. (2) 88 (2013), 319–337 abstract journal |
| [32] |
J. Behrndt, M. Langer and V. Lotoreichik, Spectral estimates for resolvent differences of self-adjoint elliptic operators, Integral Equations Operator Theory 77 (2013), 1–37 abstract journal |
| [31] |
J. Behrndt, M. Langer and V. Lotoreichik, Schrödinger operators with δ and δ'-potentials supported on hypersurfaces, Ann. Henri Poincaré 14 (2013), 385–423 abstract journal |
| [30] |
M. Langer and H. Woracek, The exponential type of the fundamental solution of an indefinite Hamiltonian system, Complex Anal. Oper. Theory 7 (2013), 285–312 abstract journal |
| [29] |
B.M. Brown, H. Langer and M. Langer, Bessel-type operators with an inner singularity, Integral Equations Operator Theory 75 (2013), 257–300 abstract journal |
| [28] |
J. Behrndt and M. Langer, Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples, in "Operator Methods for Boundary Value Problems", London Math. Soc. Lecture Note Series, vol. 404, Cambridge University Press, Cambridge, 2012, pp. 121–160 abstract book |
| [27] |
L. Smith, W. Lamb, M. Langer and A. McBride, Discrete fragmentation with mass loss, J. Evol. Equ. 12 (2012), 181–201 abstract journal |
| [26] |
F.P. da Costa, M. Grinfeld, M. Langer, N.J. Mottram and J.T. Pinto, Kickback in nematic liquid crystals, Quart. Appl. Math. 70 (2012), 99–110 abstract journal |
| [25] |
M. Grinfeld, M. Langer and N.J. Mottram, Nematic viscosity estimation using director kickback dynamics, Liquid Crystals 38 (2011), 981–987 abstract journal |
| [24] |
M. Langer and H. Woracek, A function space model for canonical systems with an inner singularity, Acta Sci. Math. (Szeged) 77 (2011), 101–165 abstract journal |
| [23] |
M. Langer and H. Woracek, A local inverse spectral theorem for Hamiltonian systems, Inverse Problems 27 (2011), 055002, 17pp. abstract journal |
| [22] |
J. Behrndt and M. Langer, On the adjoint of a symmetric operator, J. Lond. Math. Soc. (2) 82 (2010), 563–580 abstract journal |
| [21] |
J. Behrndt, M. Langer, I. Lobanov, V. Lotoreichik and I.Yu. Popov, A remark on Schatten–von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains, J. Math. Anal. Appl. 371 (2010), 750–758 abstract journal |
| [20] |
B.M. Brown, M. Langer, M. Marletta, C. Tretter and M. Wagenhofer, Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics, LMS J. Comput. Math. 13 (2010), 65–81 abstract journal |
| [19] |
M. Langer and A. Luger, On norms in indefinite product spaces, Oper. Theory Adv. Appl. 198 (2010), 259–264 abstract journal |
| [18] |
M. Langer and H. Woracek, Dependence of the Weyl coefficient on singular interface conditions, Proc. Edinburgh Math. Soc. (2) 52 (2009), 445–487 abstract journal |
| [17] |
B.M. Brown, M. Langer and K.M. Schmidt, The HELP inequality on trees, Proc. Sympos. Pure Math. 77 (2008), 337–354 abstract book |
| [16] |
H. Langer, M. Langer, A. Markus and C. Tretter, The Virozub–Matsaev condition and spectrum of definite type for self-adjoint operator functions, Complex Anal. Oper. Theory 2 (2008), 99–134 abstract journal |
| [15] |
J. Behrndt and M. Langer, Boundary value problems for elliptic partial differential operators on bounded domains, J. Funct. Anal. 243 (2007), 536–565 abstract journal |
| [14] |
M. Langer and C. Tretter, Variational principles for eigenvalues of the Klein–Gordon equation, J. Math. Phys. 47 (2006), 103506, 18 pp. abstract journal |
| [13] |
M. Langer, A general HELP inequality connected with symmetric operators, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 462 (2006), 587–606 abstract journal |
| [12] |
M. Langer and A. Luger, Scalar generalized Nevanlinna functions: realizations with block operator matrices, Oper. Theory Adv. Appl. 162 (2006), 253–276 abstract journal |
| [11] |
H. Langer, M. Langer, A. Markus and C. Tretter, Spectrum of definite type of self-adjoint operators in Krein spaces, Linear and Multilinear Algebra 53 (2005), 115–136 abstract journal |
| [10] |
B.M. Brown, M. Langer and M. Marletta, Spectral concentrations and resonances of a second order block operator matrix and an associated λ-rational Sturm–Liouville problem, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460 (2004), 3403–3420 abstract journal |
| [9] |
M. Kraus, M. Langer and C. Tretter, Variational principles and eigenvalue estimates for unbounded block operator matrices and applications, J. Comput. Appl. Math. 171 (2004), 311–334 abstract journal |
| [8] |
H. Langer, M. Langer and Z. Sasvári, Continuations of Hermitian indefinite functions and corresponding canonical systems: an example, Methods Funct. Anal. Topology 10 (2004), 39–53 abstract journal |
| [7] |
D. Eschwé and M. Langer, Variational principles for eigenvalues of self-adjoint operator functions, Integral Equations Operator Theory 49 (2004), 287–321 abstract journal |
| [6] |
B.M. Brown, M. Langer, M. Marletta, C. Tretter and M. Wagenhofer, Eigenvalue bounds for the singular Sturm–Liouville problem with a complex potential, J. Phys. A 36 (2003), 3773–3787 abstract journal |
| [5] |
H. Langer, M. Langer and C. Tretter, Variational principles for eigenvalues of block operator matrices, Indiana Univ. Math. J. 51 (2002), 1427–1459 abstract journal |
| [4] |
M. Langer and H. Woracek, A characterization of intermediate Weyl coefficients, Monatsh. Math. 135 (2002), 137–155 abstract journal |
| [3] |
M. Langer, Resonances of a λ-rational Sturm–Liouville problem, Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), 709–720 abstract journal |
| [2] |
V. Adamjan, H. Langer and M. Langer, A spectral theory for a λ-rational Sturm–Liouville problem, J. Differential Equations 171 (2001), 315–345 abstract journal |
| [1] |
M. Langer, Eigenvalues of a λ-rational Sturm–Liouville problem, Math. Nachr. 210 (2000), 163–176 abstract journal |
Editorial work
| [2] |
Indefinite Inner Product Spaces. Section of the book “Operator Theory” in the SpringerReference series, Springer, 2015. Edited by Matthias Langer and Harald Woracek. link to book |
| [1] |
Operator Theory and Indefinite Inner Product Spaces. Lectures presented on the occasion of the retirement of Heinz Langer in the Colloquium on Operator Theory held at the Vienna University of Technology, Vienna, March 2004. Edited by Matthias Langer, Annemarie Luger and Harald Woracek. Operator Theory: Advances and Applications, vol. 163. Birkhäuser Verlag, Basel, 2006, xxxii+397pp. link to book |