Julio H. Toloza

Contact Information

Email: <jtoloza@frc.utn.edu.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

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.

2. 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.

3. 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.

4. L. O. Silva, J. H. Toloza:

   A class of n-entire Schrödinger operators, Complex Anal. Oper. Theory 8 (2014) 1581--1599.

5. L. O. Silva, J. H. Toloza:

   The class of n-entire operators, J. Phys. A: Math. Theor. 46 (2013) 025202.

6. 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.

7. 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.

2. 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.

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