Systems of Markov type functions: normality and convergence of Hermite-Padé approximants

• Autores: Salvador Medina Peralta
• Directores de la Tesis: Guillermo Tomás López Lagomasino (dir. tes.)
• Lectura: En la Universidad Carlos III de Madrid ( España ) en 2014
• Idioma: inglés
• Tribunal Calificador de la Tesis: Francisco Marcellán Español (presid.), Andrei Martínez Finkelshtein (secret.), Alexander IIvanovich Aptekarev (voc.)
• Materias:
  • Matemáticas
• Enlaces
  • Tesis en acceso abierto en: e-Archivo
• Resumen

  • This thesis deals with Hermite-Padé approximation of analytic and merophorphic functions. As such it is embeded in the theory of vector rational approximation of analytic functions which in turn is intimately connectd with the theory of multiple orthogonal polynomials. All the basic concepts and results used in this thesis involving complex analysis and measure theory may found in classical textbooks...........