Publications of Dr Matthias Langer

Articles

  • Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples
    J. Behrndt and M. Langer
    London Math. Soc. Lecture Note Series, to appear
  • The exponential type of the fundamental solution of an indefinite Hamiltonian system
    M. Langer and H. Woracek
    Complex Anal. Oper. Theory, to appear
  • Discrete fragmentation with mass loss
    L. Smith, W. Lamb, M. Langer and A. McBride
    J. Evol. Equ. 12 (2012), 181–201
  • Kickback in nematic liquid crystals
    F. P. da Costa, M. Grinfeld, M. Langer, N. J. Mottram and J. T. Pinto
    Quart. Appl. Math. 70 (2012), 99–110
  • Nematic viscosity estimation using director kickback dynamics
    M. Grinfeld, M. Langer and N. J. Mottram
    Liquid Crystals 38 (2011), 981–987
  • A function space model for canonical systems with an inner singularity
    M. Langer and H. Woracek
    Acta Sci. Math. (Szeged) 77 (2011), 101–165
  • A local inverse spectral theorem for Hamiltonian systems
    M. Langer and H. Woracek
    Inverse Problems 27 (2011), 055002, 17pp.
  • On the adjoint of a symmetric operator
    J. Behrndt and M. Langer
    J. Lond. Math. Soc. (2) 82 (2010), 563–580
  • A remark on Schattenvon Neumann properties of resolvent differences of
    generalized Robin Laplacians on bounded domains
    J. Behrndt, M. Langer, I. Lobanov, V. Lotoreichik and I. Yu. Popov
    J. Math. Anal. Appl. 371 (2010), 750–758
  • Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics
    B. M. Brown, M. Langer, M. Marletta, C. Tretter and M. Wagenhofer
    LMS J. Comput. Math. 13 (2010), 65–81
  • On norms in indefinite product spaces
    M. Langer and A. Luger
    Oper. Theory Adv. Appl. 198 (2010), 259–264
  • Dependence of the Weyl coefficient on singular interface conditions
    M. Langer and H. Woracek
    Proc. Edinburgh Math. Soc. (2) 52 (2009), 445–487
  • The HELP inequality on trees
    B. M. Brown, M. Langer and K. M. Schmidt
    Proc. Sympos. Pure Math. 77 (2008), 337–354
  • The Virozub–Matsaev condition and spectrum of definite type for self-adjoint operator functions
    H. Langer, M. Langer, A. Markus and C. Tretter
    Complex Anal. Oper. Theory 2 (2008), 99–134
  • Boundary value problems for elliptic partial differential operators on bounded domains
    J. Behrndt and M. Langer
    J. Funct. Anal. 243 (2007), 536–565
  • Variational principles for eigenvalues of the Klein–Gordon equation
    M. Langer and C. Tretter
    J. Math. Phys. 47 (2006), 103506, 18 pp.
  • A general HELP inequality connected with symmetric operators
    M. Langer
    Proc. R. Soc. Lond. Ser. A 462 (2006), 587–606
  • Scalar generalized Nevanlinna functions: realizations with block operator matrices
    M. Langer and A. Luger
    Oper. Theory Adv. Appl. 162 (2005), 253–276
  • Spectrum of definite type of self-adjoint operators in Krein spaces
    H. Langer, M. Langer, A. Markus and C. Tretter
    Linear Multilinear Algebra 53 (2005), 115–136
  • Spectral concentrations and resonances of a second order block operator matrix and an associated λ-rational Sturm–Liouville problem
    B. M. Brown, M. Langer and M. Marletta
    Proc. R. Soc. Lond. Ser. A 460 (2004), 3403–3420
  • Variational principles and eigenvalue estimates for unbounded block operator matrices and applications
    M. Kraus, M. Langer and C. Tretter
    J. Comput. Appl. Math. 171 (2004), 311–334
  • Continuations of Hermitian indefinite functions and corresponding canonical systems: an example
    H. Langer, M. Langer and Z. Sasvári
    Methods Funct. Anal. Topology 10 (2004), 39–53
  • Variational principles for eigenvalues of self-adjoint operator functions
    D. Eschwé and M. Langer
    Integral Equations Operator Theory 49 (2004), 287–321
  • Eigenvalue bounds for the singular Sturm–Liouville problem with a complex potential
    B. M. Brown, M. Langer, M. Marletta, C. Tretter and M. Wagenhofer
    J. Phys. A 36 (2003), 3773–3787
  • Variational principles for eigenvalues of block operator matrices
    H. Langer, M. Langer and C. Tretter
    Indiana Univ. Math. J. 51 (2002), 1427–1459
  • A characterization of intermediate Weyl coefficients
    M. Langer and H. Woracek
    Monatsh. Math. 135 (2002), 137–155
  • Resonances of a λ-rational Sturm–Liouville problem
    M. Langer
    Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), 709–720
  • A spectral theory for a λ-rational Sturm–Liouville problem
    V. Adamyan, H. Langer and M. Langer
    J. Differential Equations 171 (2001), 315–345
  • Eigenvalues of a λ-rational Sturm–Liouville problem
    M. Langer
    Math. Nachr. 210 (2000), 163–176

Editorial work

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.