Institutos Universitarios

Gustavo Adolfo Muñoz Fernández

 

 

 

 

Bio

I obtained my degree in Mathematics in 1994, and in Physics in 2001. PhD in Mathematics in 1999. Postdoctoral researcher in Kent State University (KSU) in 2001 besides several other stays in KSU (1997 and 1997) and in National Technical University Athens (1998). Academic visitor of the Institut Henri Poincaré (Paris, France) in 2007 and the Renyi Institute for Mathematics (Budapest, Hungary) in 2003. I became an Associate Professor in 2010. Currently, I am the Academic Secretary of the IMI, responsibility that I hold since March 2017.

 

Research interests

Until January 2020 I have authored or coauthored 54 papers in journals of the JCR about the following topics: Polynomial Inequalities in Banach spaces, including the polynomial Bohnenbust-Hille Inequality, Berstenin and Markov type inequalities, unconditional constants in polynomial spaces, polarization constants and other related inequalities. Geometry of Banach spaces of Polynomials. Algebraic genericity: Study of lineability, algebrability and spaceability problems.

  

Last Publications

  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-FernándezJ. B. Seoane-Sepúlveda. Ordering among the topologies induced by various polynomial norms. Bull. Belg. Math. Soc. Simon Stevin 26 (2019), 481–492. https://doi.org/doi:10.36045/bbms/1576206349
  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-FernándezJ. B. Seoane-Sepúlveda. Universality of sequences of operators related to Taylor series. J. Math. Anal. Appl. 474 (2019), no. 1, 480–491.  https://doi.org/10.1016/j.jmaa.2019.01.056
  • L. Bernal-González, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. On inequalities for convex functions. J. Convex Anal.  26  (2019),  no. 2, 437--448
  • P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, E. Sáez-Maestro, J. B. Seoane-Sepúlveda,  “The convolution of two differentiable functions on the circle need not be differentiable”,  Rev Mat Complut 32, Issue 1 (2019),  pp 187-193. https://doi.org/10.1007/s13163-018-0274-5
  • P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, E. Sáez-Maestro, J. B. Seoane-Sepúlveda. Algebraic genericity and the differentiability of the convolution. J. Approx. Theory 241 (2019), 86–106. https://doi.org/10.1016/j.jat.2019.01.002 
  • L. Bernal-González, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. Algebraic genericity within the class of sup-measurable functions. J. Math. Anal. Appl. 483 (2020), no. 1, 123576. https://doi.org/10.1016/j.jmaa.2019.123576 
  • A. Bonilla, G. A. Muñoz-Fernández, J. A. Prado-Bassas, J. B. Seoane-Sepúlveda. Hausdorff and Box dimensions of continuous functions and lineability. Linear and Multilinear Algebra. Published online: 06 May 2019 https://doi.org/10.1080/03081087.2019.1612832 
  • P. Jiménez-Rodríguez, M. E. Martínez-Gómez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. Describing Multiplicative Convex Functions. Journal of Convex Analysishttp://www.heldermann-verlag.de/jca/jca27/jca2081-a.pdf
  • L. Bernal-González, H. J. Cabana-Méndez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. On the dimension of subspaces of continuous functions attaining their maximum finitely many times. Trans. Amer. Math. Sochttps://doi.org/10.1090/tran/8054 
  • G. Araujo, P. H. Enflo, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepulveda. Quantitative and qualitative estimates on the norm of products of polynomials. Israel Journal of Mathematics. 2020, 236 (2), 727-745. DOI: https://doi.org/10.1007/s11856-020-1987-y

Contact details

gustavo_fernandez@mat.ucm.es 

 

G. A. Muñoz Fernández and J. B. Seoane. Fundamentos y problemas resueltos de Teoría cualitativa de ecuaciones diferenciales. Editorial Paraninfo, 2017.
ISBN: 978-84-283-4057-1