Henrik Winkler

Technische Universität Ilmenau — Germany

Mathematics · Physical Sciences

17h-index840citations66works0.02yr avg
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Research Topics

Spectral Theory in Mathematical Physics(38), Matrix Theory and Algorithms(27), Holomorphic and Operator Theory(15), Advanced Mathematical Modeling in Engineering(14), Quantum chaos and dynamical systems(8)

Publications66 total

A Jordan-like decomposition for linear relations in finite-dimensional spaces
Transactions of the American Mathematical Society·2024Open Access
A Jordan-like decomposition for linear relations in finite-dimensional spaces
arXiv (Cornell University)·2022Open Access
On a Class of Integral Systems
Complex Analysis and Operator Theory·2021· 2 citedOpen Access
Finite Rank Perturbations of Linear Relations and Matrix Pencils
Complex Analysis and Operator Theory·2021· 2 citedOpen Access
Linear relations and their singular chains
Methods of Functional Analysis and Topology·2021· 5 citedOpen Access
Linear relations and their singular chains
arXiv (Cornell University)·2020Open Access
On a class of integral systems
arXiv (Cornell University)·2020· 1 citedOpen Access
The gap distance to the set of singular matrix pencils
Linear Algebra and its Applications·2018· 9 citedOpen Access
Finite rank perturbations of linear relations and singular matrix pencils
Common Library Network (Der Gemeinsame Bibliotheksverbund)·2018· 3 citedOpen Access
Limit Properties of Eigenvalues in Spectral Gaps
Operator theory·2018
A new bound for the distance to singularity of a regular matrix pencil
PAMM·2017· 3 cited
Extremal maximal sectorial extensions of sectorial relations
Indagationes Mathematicae·2017· 7 citedOpen Access
An Indefinite Inverse Spectral Problem of Stieltjes Type
Integral Equations and Operator Theory·2017· 5 cited
Linear relations and the Kronecker canonical form
Linear Algebra and its Applications·2015· 23 cited
Two-Dimensional Hamiltonian Systems
Operator Theory·2015· 13 cited
Non-semi-bounded closed symmetric forms associated with a generalized Friedrichs extension
Proceedings of the Royal Society of Edinburgh Section A Mathematics·2014· 8 cited
Global and local behavior of zeros of nonpositive type
Journal of Mathematical Analysis and Applications·2014· 3 citedOpen Access
Two-Dimensional Hamiltonian Systems
Operator Theory·2014· 3 cited
Global and local behavior of zeros of nonpositive type
arXiv (Cornell University)·2013Open Access
Symmetry in de Branges almost Pontryagin spaces
Integral Equations and Operator Theory·2013
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Frequent Co-authors

Henk de Snoo(17), Seppo Hassi(13), Adrian Sandovici(10), Harald Woracek(8), Carsten Trunk(7), H. S. V. de Snoo(5), Michael Kaltenbäck(5), Thomas Berger(4), Andreas Fleige(4), Michał Wojtylak(4), J.- h. Labrousse(2), Hannes Gernandt(2), Leslie Leben(2), Francisco Martínez-Pería(2), Friedrich Philipp(2), Volodymyr Derkach(2), Dmytro Strelnikov(2), Heinz Langer(1), Sandovici(1), Michael Kaltenbaeck(1)