Research
My main research interest lies in spectral theory of unbounded linear operators.
In particular I am interestd in applications to the Dirac operator in flat and curved spacetime.
Submitted
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Edison Leguizamón, Florian Leben, Carsten Trunk, Monika Winklmeier.
Limit point and limit circle trichotomy for Sturm-Liouville problems with complex potentials
(arxiv:2310.16128).
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Javier Moreno, Monika Winklmeier.
Spectral inclusions of perturbed normal operators and applications
(arxiv:2309.12550).
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Daniel Sánchez-Mendoza, Monika Winklmeier.
On the existence of eigenvalues of a one-dimensional Dirac operator
(arxiv:2408.12697).
Papers
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Abdon E. Choque-Riveros, Monika Winklmeier.
Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem
Complex Anal. Oper. Theory 17, 50 (2023).
(arxiv:2210.00374).
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Carlos Segovia, Monika Winklmeier.
Calculating the dimension of the universal embedding of the symplectic dual polar space using languages
Electronic Journal of Combinatorics. Volume 27, Issue 4 (2020) Paper #P4.39.
(arxiv:1312.4315v2).
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Monika Winklmeier, Osanobu Yamada.
The limiting absorption principle for Dirac operators in the non-extreme Kerr-Newman metric.
Mem. Inst. Sci. Engrg. Ritsumeikan Univ. No. 76 (2017)
(article)
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Vadym Adamyan, Heinz Langer, Christiane Tretter, Monika Winklmeier.
Dirac-Krein operators on star graphs
Integral Equations Operator Theory. 86(1):121-150 (2016).
(arXiv:1608.05865).
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Vladimir Strauss, Monika Winklmeier.
On the one-dimensional harmonic oscillator with a singular perturbation
Bulletin of the South Ural State University,
Ser. Mat. Model. Program. 9, No. 1, 73-91 (2016),
(arxiv:1506.06264).
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Lyonell Boulton, Monika Winklmeier.
Sharp eigenvalue enclosures for the perturbed angular Kerr-Newman Dirac operator
Proceedings of the Royal Society A, Vol. 471, Issue 2182 (2015),
(arxiv:1410.5357).
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Carlos Segovia, Monika Winklmeier.
Combinatorial Computations in Cobordism Categories
Electronic Journal of Combinatorics. Volume 22, Issue 3 (2015) Paper #P3.16.
(arxiv:1409.2067).
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Monika Winklmeier, Christian Wyss.
On the Spectral Decomposition of Dichotomous and Bisectorial Operators
Integral Equations Operator Theory. 82(1):119-150 (2015).
(arxiv:1410.2305).
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Mario Koppen, Christiane Tretter, Monika Winklmeier.
Simplicity of extremal eigenvalues of the Klein-Gordon equation.
Rev. Math. Phys. 23(6): 643-667 (2011).
(arXiv:1008.2469).
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Monika Winklmeier, Osanobu Yamada.
A spectral approach the Dirac equation in the non-extreme Kerr-Newmann metric.
J. Phys. A. 42 (2009)
(arXiv:0802.0402).
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Monika Winklmeier.
A Variational Principle for Block Operator Matrices and its Application to the Angular Part of the Dirac Operator in Curved Spacetime.
J. Differential Equations Volume 245, Issue 8
(arXiv:0806.1866).
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Carsten Trunk, Birgit Jacob, Monika Winklmeier.
Analyticity and Riesz basis property of semigroups associated to damped vibrations.
J. Evol. Eq. (2008)
(arXiv:math/0703247).
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Monika Winklmeier, Osanobu Yamada.
Spectral analysis of radial Dirac operators in the Kerr-Newman metric and its applications to time-periodic solutions.
JMP Vol. 47 (2006)
(arXiv:gr-qc/0605146).
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Davide Batic, Harald Schmid, Monika Winklmeier.
The generalized Heun equation in QFT in curved spacetimes.
J. Phys. A. (2006)
(arXiv:gr-qc/0607017).
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Davide Batic, Harald Schmid, Monika Winklmeier.
On the eigenvalues of the Chandrasekhar-Page angular equation.
JMP vol. 46 (2005)
(arXiv:math-ph/0402047).
Proceedings
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Off-Diagonalisation of a Certain Class of Block Operator Matrices.
Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, 2006.
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Monika Winklmeier, Monika, Christian Wyss
Dichotomy, bisectorial operators and unbounded spectral projections
PAMM, 14(1):1003-1004, 2014.
Thesis
Universidad de los Andes |
Vigilada Mineducación Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.