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* Functional models of symmetric operators with deficiency indices (1,1), in particular those arising from Sturm-Liouville equations. | * Functional models of symmetric operators with deficiency indices (1,1), in particular those arising from Sturm-Liouville equations. |
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== Journal Papers == | == Publications (since 2010) == === Journal Papers === |
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* A. Kostenko, G. Teschl, J. H. Toloza: "Dispersion estimates for spherical Schrödinger equations," Ann. Henri Poincaré (2016), DOI 10.1007/s00023-016-0474-9. |
1. A. Kostenko, G. Teschl, J. H. Toloza: ''Dispersion estimates for spherical Schrödinger equations'', Ann. Henri Poincaré (2016), DOI 10.1007/s00023-016-0474-9. 1. L. O. Silva, G. Teschl, J. H. Toloza: ''Singular Schrödinger operators as self-adjoint extensions of n-entire operators'', Proc. Amer. Math. Soc. '''143''' (2015) 2103--2115. 1. L. O. Silva, J. H. Toloza: ''On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions'', J. Math. Anal. App. '''421''' (2015) 996--1005. 1. L. O. Silva, J. H. Toloza: ''A class of n-entire Schrödinger operators'', Complex Anal. Oper. Theory '''8''' (2014) 1581--1599. 1. L. O. Silva, J. H. Toloza: ''The class of n-entire operators'', J. Phys. A: Math. Theor. '''46''' (2013) 025202. 1. F. M. Pont, O. Osenda, J. H. Toloza, P. Serra: ''Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots'', Phys. Rev. A '''81''' (2010) 042518. 1. L. O. Silva, J. H. Toloza: ''On the spectral characterization of entire operators with deficiency indices (1,1)'', J. Math. Anal. Appl. '''367''' (2010) 360--373. === Conference Papers === 1. C. J. Paz, S. Nesmachnow, J. H. Toloza: ''A parallel multilevel data decomposition algorithm for orientation estimation of unmanned aerial vehicles'', First HPCLATAM - CLCAR Latin American Joint Conference, CARLA 2014, Valparaiso, Chile (G. Hernández, C. Barrios Hernández, G. Díaz, C. García Garino, S. Nesmachnow, T. Pérez-Acle, M. Storti, M. Vázquez, eds.), Communications in Computer and Information Science '''485''' (2014) 206--220. 1. L. O. Silva, J. H. Toloza: ''The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)''. Operator Methods in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland (J. Janas, P. Kurasov, A. Laptev, S. Naboko, eds.), Operator Theory: Advances and Applications '''227''' (2013) 151--164. === Book Chapters === 1. L. O. Silva, J. H. Toloza: ''De Branges spaces and Krein's theory of entire operators'', in D. Alpay (Ed.) ''Operator Theory'', Springer Basel (2015) pp. 549--580. |
Julio H. Toloza
Contact Information
Email: <jtoloza AT SPAMFREE frc DOT utn DOT edu DOT ar>
Phone: +54 351 598-6000 / 6001 int. 1444
Office: Salcedo Hall, Room 4
Research Interests
- Spectral analysis of Schrödinger operators.
- De Branges Hilbert spaces of entire functions.
- Functional models of symmetric operators with deficiency indices (1,1), in particular those arising from Sturm-Liouville equations.
Curriculum Vitae
Available here (in Spanish).
Publications (since 2010)
Journal Papers
- A. Kostenko, G. Teschl, J. H. Toloza:
Dispersion estimates for spherical Schrödinger equations, Ann. Henri Poincaré (2016), DOI 10.1007/s00023-016-0474-9.
- L. O. Silva, G. Teschl, J. H. Toloza:
Singular Schrödinger operators as self-adjoint extensions of n-entire operators, Proc. Amer. Math. Soc. 143 (2015) 2103--2115.
- L. O. Silva, J. H. Toloza:
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions, J. Math. Anal. App. 421 (2015) 996--1005.
- L. O. Silva, J. H. Toloza:
A class of n-entire Schrödinger operators, Complex Anal. Oper. Theory 8 (2014) 1581--1599.
- L. O. Silva, J. H. Toloza:
The class of n-entire operators, J. Phys. A: Math. Theor. 46 (2013) 025202.
- F. M. Pont, O. Osenda, J. H. Toloza, P. Serra:
Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots, Phys. Rev. A 81 (2010) 042518.
- L. O. Silva, J. H. Toloza:
On the spectral characterization of entire operators with deficiency indices (1,1), J. Math. Anal. Appl. 367 (2010) 360--373.
Conference Papers
- C. J. Paz, S. Nesmachnow, J. H. Toloza:
A parallel multilevel data decomposition algorithm for orientation estimation of unmanned aerial vehicles, First HPCLATAM - CLCAR Latin American Joint Conference, CARLA 2014, Valparaiso, Chile (G. Hernández, C. Barrios Hernández, G. Díaz, C. García Garino, S. Nesmachnow, T. Pérez-Acle, M. Storti, M. Vázquez, eds.), Communications in Computer and Information Science 485 (2014) 206--220.
- L. O. Silva, J. H. Toloza:
The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1). Operator Methods in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland (J. Janas, P. Kurasov, A. Laptev, S. Naboko, eds.), Operator Theory: Advances and Applications 227 (2013) 151--164.
Book Chapters
- L. O. Silva, J. H. Toloza:
De Branges spaces and Krein's theory of entire operators, in D. Alpay (Ed.) Operator Theory, Springer Basel (2015) pp. 549--580.