Iterated integrals of orthogonal polynomials and applications

  1. Rivero Castillo, Daniel Alberto
Dirigida per:
  1. Héctor Esteban Pijeira Cabrera Director/a

Universitat de defensa: Universidad Carlos III de Madrid

Fecha de defensa: 17 de de maig de 2017

Tribunal:
  1. Francisco Marcellán Español President/a
  2. Ramón Angel Orive Rodríguez Secretari
  3. Wilfredo Urbina Romero Vocal

Tipus: Tesi

Teseo: 459156 DIALNET lock_opene-Archivo editor

Resum

The purpose of this doctoral thesis is on the one hand the study of algebraic and analytical properties of families of polynomials obtained by iterated integration until a fixed order m, of families of orthogonal polynomials with respect to a measure supported in the real line or an arc of the unit circle. On the other hand, create an algorithm for edge detection on gray scale digital images using linear combinations of two dimensional Krawtchouk polynomials.