Javier Falcó

Profesor Titular de Universidad
Análisis Matemático
Universidad de Valencia

Published articles

  1. J. Falcó, D. Isert. G-strong subdifferentiability and applications to norm attaining subspaces. Revista Matemática Complutense 2025.
  2. J. Falcó, D. Isert. Group invariant variational principles. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 118 (2024), no. 3, Paper No. 91, 20 pp.
  3. S. Dantas, J. Falcó, M. Jung. Group invariant operators and some applications to norm-attaining theory. Results Math. 78 (2023), no. 1, Paper No. 24, 30 pp.
  4. J. Falcó, P. M. Gauthier, M. Manolaki, V. Nestoridis. Some remarks on approximation in several complex variables. Canad. Math. Bull. 66 (2022), no. 2, 643-653.
  5. J. Falcó, D. García, M. Jung and M. Maestre. Group invariant separating polynomials on a Banach space. Publicacions Matemàtiques, 2022.
  6. J. Falcó and P. M. Gauthier. Asymptotic first boundary value problem for elliptic operators. Canadian Mathematical Bulletin, 2021, pp. 1–11.
  7. J. A. Adell, J. Falcó, D. L. Rodríguez-Vidanes and J. B. Seoane-Sepúlveda. Discontinuous, although ``highly’’ differentiable, real functions and algebraic genericity. J. Math. Anal. Appl. 2021, 502, no. 2, 21pp.
  8. J. Falcó, P. M. Gauthier, M. Manolaki and V. Nestoridis. A function algebra providing new Mergelyan type theorems in several complex variables. Advances in Mathematics, 2021, 381.
  9. J. Falcó. A group invariant Bishop-Phelps theorem. Proc. Amer. Math. Soc., 2021, 149, 1609-1612.
  10. J. Falcó and P. M. Gauthier. Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis. Izvestiya: Mathematics, 2021, 85.
  11. J. Falcó D. García, S. K. Kim, H. J. Lee and M. Maestre. Polarization constant for the numerical radius. Mediterranean Journal of Mathematics, 2020, 17, Article number: 153.
  12. J. Falcó and P. M. Gauthier. An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfaces. Journal of Approximation Theory, 2020, 257, 105451.
  13. J. Falcó and K. G. Grosse-Erdmann. Algebrability of the set of hypercyclic vectors for backward shift operators. Advances in Mathematics, 2020, 366, 107082.
  14. J. Falcó and K. G. Grosse-Erdmann. Algebras of frequently hypercyclic vectors. Mathematische Nachrichten, 2020, 293, no. 6.19.
  15. Y. S. Choi, J. Falcó, D. García, M. Jung and M. Maestre. Analytic structure in fibers of \(H^\infty (B_{c_0})\). J. Math. Anal. Appl., 2020, 488, no. 2.
  16. J. Falcó and V. Nestoridis. Rational approximation on \(A^{\infty}(\Omega)\). Studia Math., 2019, 248, no. 1, 93-107.
  17. R. M. Aron, J. Falcó, D. García and M. Maestre. Algebras of symmetric holomorphic functions of several complex variables. Rev. Mat. Complut., 2018, 31, no. 3, 651-672.
  18. R. M. Aron, J. Falcó, D. García and M. Maestre Analytic structure in fibers. Studia Math., 2018, 240, no. 2, 101-121.
  19. R. M. Aron, J. Falcó and M. Maestre. Separation theorems for group invariant polynomials. J. Geom. Anal., 2018, 28, no. 1, 393-404.
  20. J. Falcó and V. Nestoridis. A Runge type theorem for product of planar domains. Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Math. RACSAM, 2017, 111, no. 4, 1147-1155.
  21. J. Falcó, D. García, M. Maestre and P. Rueda. Spaceability of norm attaining sets. Banach J. Math. Anal., 2017, 11, no. 1, 90-107., 2016, 18 pp.
  22. J. Falcó, D. García, M. Maestre and P. Rueda. Norm Attaining Arens Extensions on \(\ell_1\). Abstr. Appl. Anal., 2014, Art. ID 315641, 10 pp.
  23. J. Falcó. The Bishop-Phelps-Bollob'as property for numerical radius on \(L_1\). J. Math. Anal. Appl., 2014, 414, no. 1, 125-133.

Published articles (non-indexed journals)

  1. J. Falcó, P. M. Gautier, M. Manolaki and V. Nestoridis. A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables. Oberwolfach Preprints (OWP), OWP-2019-02, ISSN 1864-7596, 2019, 24 pp.
  2. J. Falcó, V. Nestoridis and I. Zadik. A note on the density of rational functions in \(A^{\infty}(\Omega)\). Book chapter: New Trends in Approximation Theory. Fields Institute Communications, 2018, vol 81. Springer, New York, NY.
  3. R. M. Aron, J. Falcó, D. García and M. Maestre. Analytic Structure in Fibers. Oberwolfach Preprints (OWP), 2016, OWP 2016-13, ISSN 1864-7596, 23 pp.
  4. R. M. Aron, J. Falcó, P. M. Gautier, M. Maestre and V. Nestoridis. Rational approximation on products of planar domains. Oberwolfach Preprints (OWP), 2016, OWP 2016-05, ISSN 1864-7596, 11 pp.
  5. J. Falcó. Actividades matemáticas que incitan a la modelización. Modeling in Science, Education and Learning, 2012, Volume 5, No. 6, 77-91.

Research projects

  1. Análisis complejo y geometría de espacios de Banach PID2021-122126NB-C31 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU, 2022-2026.
  2. Análisis complejo y geometría en espacios de Banach, Ministry of Economy and Competitiveness of Spain, 2018-2022.
  3. Algebraic structures in Linear dynamics, Fonds de la Recherche Scientifique - FNRS (Belgium), 2016-2017.
  4. Espacios y álgebras de funciones diferenciables, Ministry of Economy and Competitiveness of Spain, 2012-2015.
  5. Proyecto PROMETEO: Análisis Funcional, teoría de operadores y aplicaciones, Generalitat Valenciana, 2009-2012.

Research stays

  1. Research stay: University of the Fraser Valley, March 27 - April 12, 2025.
  2. Research in Pairs: Holomorphic and harmonic approximation on products of sets, November 18 - December 8, 2018, Mathematisches Forschungsinstitut Oberwolfach (Germany).
  3. Research in Pairs: Algebrability in Linear Dynamics, January 22-26, 2018, CIRM (Marseille), project number 2094.

Other research activities