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Daniel Luis Rodríguez Vidanes

Predoctoral Fellow
Department of Applied Mathematics and Mathematical Analysis
School of Mathematical Sciences
Complutense University of Madrid
Análisis Funcional No Lineal y Geométrico

 

 

 

Bio

I am a Ph.D Candidate at the Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid (UCM), under the supervision of Professors Juan B. Seoane-Sepúlveda (UCM), Gustavo A. Muñoz-Fernández (UCM) and Krzysztof C. Ciesielski (WVU). I have a research predoctoral contract (FPI) from Ministerio de Ciencia e Innovación since 2020.

 

Research interests

My research focuses on the following topics: Real and Complex Analysis, Functional Analysis, Lineability and Spaceability, Set Theory, Foundations of Mathematics, Geometry of Banach Spaces, Polynomial Inequalities.

 

Latest Publications

  • J. Fernández-Sánchez, S. Maghsoudi, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. The Set of p-Adic Continuous Functions not Satisfying the Luzin (N) Property. Results in Mathematics. 2023, 78, Article number 157. https://doi.org/10.1007/s00025-023-01933-3
  • K. C. Ciesielski, D. L. Rodríguez-Vidanes. Linearly continuous maps discontinuous on the graphs of twice differentiable functions. Proceedings of the American Mathematical Society. 2023, 151, 5. https://doi.org/10.1090/proc/16235
  • K. C. Ciesielski, T. Natkaniec, D. L. Rodríguez-Vidanes. Almost continuous Sierpiński–Zygmund functions under different set-theoretical assumptions. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2023, 117, 1. https://doi.org/10.1007/s13398-022-01347-w

  • J. Ferrer, D. García, M. Maestre, G. A. Muñoz, D. L. Rodríguez, J. B. Seoane. Geometry of the Unit Sphere in Polynomial Spaces. Springer. 2023. ISBN: 978-3-031-23675-4

     

  • J. Fernández-Sánchez, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Sharp Bernstein inequalities for polynomials on a real Hilbert space. Journal of Convex Analysis, 2022, 29, 1, 101–118. https://www.heldermann.de/JCA/JCA29/JCA291/jca29005.htm.
  • J. Fernández-Sánchez, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda, W. Trutschnig, Lineability and K-linear discontinuous functions, Linear Algebra and its Applications, 2022, 645, 52-67, https://doi.org/10.1016/j.laa.2022.03.007.
  • J. Fernández-Sánchez, S. Maghsoudi, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Classical vs. non-Archimedean analysis: an approach via algebraic genericity. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2022, 116, 2, Article number 72. https://doi.org/10.1007/s13398-022-01209-5
  • J. Fernández-Sánchez, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda, W. Trutschnig. Lineability, differentiable functions and special derivatives. Banach Journal of Mathematical Analysis, 2021, 15, 1, Article number: 18. https://doi.org/10.1007/s43037-020-00103-9. 
  • Jiménez-Rodríguez, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes. Geometry of spaces of homogeneous trinomials on R2. Banach Journal of Mathematical Analysis. 2021, 15, 4, Article number 61. https://doi.org/10.1007/s43037-021-00144-8
  • J. A. Adell, J. Falcó, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Discontinuous, although “highly” differentiable, real functions and algebraic genericity. Journal of Mathematical Analysis and Applications. 2021, 502, 2, 125264. https://doi.org/10.1016/j.jmaa.2021.125264
  • K. C. Ciesielski, T. Natkaniec, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Additivity Coefficients for all Classes in the Algebra of Darboux-Like Maps on R. Results in Mathematics.
    2021, 76, 1, Article number 7. https://doi.org/10.1007/s00025-020-01287-0
  • J. Fernández-Sánchez, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda, W. Trutschnig. Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine. Journal of Mathematical Analysis and Applications. 2020, 492, 1, 124433, 16. https://doi.org/10.1016/j.jmaa.2020.124433
  • J. Fernández-Sánchez, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Obtaining algebrability in subsets of real functions. Publ. Math. Debrecen. 2020, 96, 1-2, 231–244. https://doi.org/10.5486/PMD.2020.8660
  • G. Araújo, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Sharp Bernstein inequalities using convex analysis techniques. Math. Inequal. Appl. 2020, 23, 2, 725–750. https://doi.org/10.7153/mia-2020-23-61

Contact details

dl.rodriguez.vidanes@ucm.es

 

J. Ferrer, D. García, M. Maestre, G. A. Muñoz, D. L. Rodríguez, J. B. Seoane. Geometry of the Unit Sphere in Polynomial Spaces. Springer. 2023. ISBN: 978-3-031-23675-4