Iterated integrals of orthogonal polynomials and applications

Autores: Daniel Alberto Rivero Castillo
Directores de la Tesis: Héctor Esteban Pijeira Cabrera (dir. tes.)
Lectura: En la Universidad Carlos III de Madrid ( España ) en 2017
Idioma: español
Tribunal Calificador de la Tesis: Francisco Marcellán Español (presid.) , Ramón Angel Orive Rodríguez (secret.) , Wilfredo Urbina Romero (voc.)
Enlaces
- Tesis en acceso abierto en: e-Archivo
Resumen
- 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.