World's Best Scientists 2026 revealed!
Heinz Langer

Heinz Langer

D-Index & Metrics

Mathematics

D-Index
35
Citations
5026
World Ranking
2784
National Ranking
35

Heinz Langer publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Heinz Langer sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 182 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Heinz Langer D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Heinz Langer sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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