Research lines

Approximation Theory

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  • Padé approximants
  • Rational interpolation of analytic functions
  • Matrix orthogonal polynomials
  • Multiple orthogonal polynomials
  • Spectral transformations

Differential Equations

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  • Reaction-diffusion equations
  • Topological methods in ordinary and partial differential equations
  • Analytical and numerical continuation and bifurcation methods
  • Sturm-Liouville problems
  • Differential equations on graphs


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  • Quadrature formulas
  • Integrable systems
  • Mathematical modeling in ecology, epidemiology and medicine
  • Evolutionary computation
  • Properties of uniform spaces
  • Extension of real-valued functions 
  • Realcompactifications