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Heinz Langer

Heinz Langer

D-Index & Metrics

Mathematics

D-Index
35
Citations
5026
World Ranking
2783
National Ranking
35

Overview

Heinz Langer was affiliated with TU Wien in Austria and contributed to several areas within the broad field of mathematics, with intersections in computer science and physics. Their research focused on topics spanning mathematical physics, computational theory, and applied mathematics.

The scientist's published work addresses issues in spectral theory, matrix theory, operator theory, and quantum mechanics. Their main topics of research included:

  • Spectral Theory in Mathematical Physics
  • Matrix Theory and Algorithms
  • Holomorphic and Operator Theory
  • Advanced Mathematical Modeling in Engineering
  • Quantum chaos and dynamical systems
  • Quantum Mechanics and Non-Hermitian Physics

Heinz Langer's most frequent publication venues comprised:

  • Advances in Operator Theory
  • Journal of Mathematical Analysis and Applications

Among their recent papers were:

  • "W. Stenger's and M.A. Nudelman's results and resolvent formulas involving compressions" (2020), published in Advances in Operator Theory
  • "Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces" (2020), published in Journal of Mathematical Analysis and Applications

The scientist collaborated frequently with other researchers, including:

  • Aad Dijksma
  • Christiane Tretter

Heinz Langer's research crossed into various subfields such as:

  • Mathematical Physics
  • Computational Theory and Mathematics
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

Their academic activity primarily contributed to establishing and expanding knowledge in advanced spectral theory and operator-related mathematical structures, especially within the context of Krein spaces and non-Hermitian physics frameworks.

Best Publications

  • Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume IIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen

    M. G. Krein;H. Langer

  • The Essential Spectrum of Some Matrix Operators

    F. V. Atkinson;H. Langer;R. Mennicken;A. A. Shkalikov

  • A Krein Space Approach to PT-symmetry

    Heinz Langer;Christiane Tretter

  • Spectral functions of definitizable operators in Krein spaces

    Unknown

  • A Krein space approach to symmetric ordinary differential operators with an indefinite weight function

    Branko Ćurgus;Heinz Langer

  • On generalized resolvents and<i>Q</i>-functions of symmetric linear relations (subspaces) in Hilbert space

    Unknown

  • On some mathematical principles in the linear theory of damped oscilations of continua II

    M. G. Krein;H. Langer;R. Troelstra

  • Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions

    Aad Dijksma;Heinz Langer;Henk de Snoo

  • A Characterization of Generalized Zeros of Negative Type of Functions of the Class Nκ

    Heinz Langer

  • Sturm-Liouville Operators with Singularities and Generalized Nevanlinna Functions

    C. Fulton;H. Langer

  • A new concept for block operator matrices:the quadratic numerical range

    H. Langer;A. Markus;V. Matsaev;C. Tretter

  • A factorization result for generalized Nevanlinna functions of the class N-k

    Aad Dijksma;H Langer;A Luger;Y Shondin

  • Locally definite operators in indefinite inner product spaces

    H. Langer;A. Markus;V. Matsaev

  • Zur SpektraltheorieJ-selbstadjungierter Operatoren

    Heinz Langer

  • Continuation of Hermitian Positive Definite Functions and Related Questions

    Mark G. Krein;Heinz Langer

  • Sturm-Liouville operators with an indefinite weight function

    Unknown

  • Hamiltonian Systems with Eigenvalue Depending Boundary Conditions

    Aad Dijksma;Heinz Langer;Henk de Snoo

  • Existence and Uniqueness of Contractive Solutions of Some Riccati Equations

    Vadim Adamjan;Heinz Langer;Christiane Tretter

  • Spectral Components of Selfadjoint Block Operator Matrices with Unbounded Entries

    Vadim Adamyan;Heinz Langer;Reinhard Mennicken;Josef Saurer

  • Self-adjoint operators with inner singularities and pontryagin spaces

    Aad Dijksma;Heinz Langer;Yuri Shondin;Chris Zeinstra

  • Diagonalization of Certain Block Operator Matrices and Applications to Dirac Operators

    Heinz Langer;Christiane Tretter

  • Selfadjoint Πκ-Extensions of Symmetric Subspaces: An Abstract Approach to Boundary Problems with Spectral Parameter in the Boundary Conditions

    A. Dijksma;H. Langer;H.S.V. de Snoo

  • Direct and inverse spectral problems for generalized strings

    Heinz Langer;Henrik Winkler

Frequent Co-Authors

Daniel Alpay
Daniel Alpay Chapman University
Israel Gohberg
Israel Gohberg Tel Aviv University
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Peter Lancaster
Peter Lancaster University of Calgary
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology
Ciprian Foias
Ciprian Foias Texas A&M University
Albrecht Böttcher
Albrecht Böttcher Chemnitz University of Technology

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