# zbMATH — the first resource for mathematics

## Egger, Sebastian

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 Author ID: egger.sebastian Published as: Egger, Sebastian; Endres, Sebastian; Egger né Endres, Sebastian
 Documents Indexed: 12 Publications since 2008
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#### Co-Authors

 1 single-authored 6 Bolte, Jens 4 Steiner, Frank 2 Keppeler, Stefan 2 Kerner, Joachim 1 Pankrashkin, Konstantin 1 Rückriemen, Ralf

#### Serials

 4 Journal of Physics A: Mathematical and Theoretical 2 Reviews in Mathematical Physics 2 Annales Henri Poincaré 1 Letters in Mathematical Physics 1 AMRX. Applied Mathematics Research eXpress
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#### Fields

 11 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

7 Publications have been cited 46 times in 38 Documents Cited by Year
The trace formula for quantum graphs with general self adjoint boundary conditions. Zbl 1207.81028
Bolte, Jens; Endres, Sebastian
2009
The Berry-Keating operator on $$L^2(\mathbb R_>,dx)$$ and on compact quantum graphs with general self-adjoint realizations. Zbl 1188.81091
Endres, Sebastian; Steiner, Frank
2010
Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs. Zbl 1310.81071
Bolte, Jens; Egger, Sebastian; Rueckriemen, Ralf
2015
Trace formulae for quantum graphs. Zbl 1153.81493
Bolte, Jens; Endres, Sebastian
2008
Scattering properties of two singularly interacting particles on the half-line. Zbl 1377.81216
Egger, Sebastian; Kerner, Joachim
2017
A new proof of the Voronoï summation formula. Zbl 1218.81049
Egger né Endres, Sebastian; Steiner, Frank
2011
Zero modes of quantum graph Laplacians and an index theorem. Zbl 1312.81079
Bolte, Jens; Egger, Sebastian; Steiner, Frank
2015
Scattering properties of two singularly interacting particles on the half-line. Zbl 1377.81216
Egger, Sebastian; Kerner, Joachim
2017
Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs. Zbl 1310.81071
Bolte, Jens; Egger, Sebastian; Rueckriemen, Ralf
2015
Zero modes of quantum graph Laplacians and an index theorem. Zbl 1312.81079
Bolte, Jens; Egger, Sebastian; Steiner, Frank
2015
A new proof of the Voronoï summation formula. Zbl 1218.81049
Egger né Endres, Sebastian; Steiner, Frank
2011
The Berry-Keating operator on $$L^2(\mathbb R_>,dx)$$ and on compact quantum graphs with general self-adjoint realizations. Zbl 1188.81091
Endres, Sebastian; Steiner, Frank
2010
The trace formula for quantum graphs with general self adjoint boundary conditions. Zbl 1207.81028
Bolte, Jens; Endres, Sebastian
2009
Trace formulae for quantum graphs. Zbl 1153.81493
Bolte, Jens; Endres, Sebastian
2008
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#### Cited by 54 Authors

 7 Bolte, Jens 5 Kerner, Joachim 3 Mugnolo, Delio 2 Band, Ram 2 Egger, Sebastian 2 Freitas, Pedro 2 Garforth, George 2 Hussein, Amru 2 Lipovský, Jiří 2 Melnikov, Yuri B. 2 Mühlenbruch, Tobias 2 Odžak, Almasa 2 Rückriemen, Ralf 2 Šćeta, Lamija 2 Turuntaeva, Irina V. 1 Ahmadi Kakavandi, Bijan 1 Anantharaman, Nalini 1 Bender, Carl M. 1 Berkolaiko, Gregory 1 Brody, Dorje C. 1 Cacciapuoti, Claudio 1 Cunden, Fabio Deelan 1 Eschenfeldt, Patrick 1 Gross, Ben 1 Hofmann, Matthias 1 Huang, Zhenyou 1 Ingremeau, Maxime 1 Kalauni, Pushpa 1 Kennedy, James Bernard 1 Keppeler, Stefan 1 Kramar Fijavž, Marjeta 1 Krejčiřík, David 1 Mezzadri, Francesco 1 Nicaise, Serge 1 O’Connell, Neil 1 Parzanchevski, Ori 1 Pedersen, Steen 1 Pippenger, Nicholas J. 1 Plümer, Marvin 1 Sabri, Mostafa 1 Schubert, Carsten 1 Seifert, Christian 1 Siegl, Petr 1 Sierra, Germán 1 Smilansky, Uzy 1 Steiner, Frank 1 Tian, Feng 1 Tolchennikov, Anton A. 1 Voigt, Jurgen 1 von Below, Joachim 1 Waurick, Marcus 1 Winn, Brian 1 Yakubovich, Semyon B. 1 Yang, Chuanfu
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#### Cited in 23 Serials

 3 Journal of Mathematical Physics 3 Integral Equations and Operator Theory 3 Journal of Physics A: Mathematical and Theoretical 2 The Journal of Geometric Analysis 2 Annales Henri Poincaré 2 Symmetry 1 Applicable Analysis 1 Journal of Statistical Physics 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Annales de l’Institut Fourier 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Random Structures & Algorithms 1 Linear Algebra and its Applications 1 Russian Journal of Mathematical Physics 1 Integral Transforms and Special Functions 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis and Mathematical Physics
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#### Cited in 20 Fields

 22 Quantum theory (81-XX) 12 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)