Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
Abstract. This dissertation is dedicated to study two problems: the first one is the study of Riesz Kernels attached to elliptic quadratic forms of dimensions 4 and 2, and its applications to the construction of fundamental solutions for pseudodifferential operators. The second problem is the study...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/49857 |
| Acceso en línea: | https://repositorio.unal.edu.co/handle/unal/49857 http://bdigital.unal.edu.co/43371/ |
| Access Level: | acceso abierto |
| Palabra clave: | 51 Matemáticas / Mathematics Local zeta functions Pseudodifferential operators Functional equation parabolic-type pseudodifferential equations p-adic fields Función zeta local Operadores seudodiferenciales Ecuación funcional Ecuaciones seudodiferenciales de tipo parabólico Cuerpos p-ádicos |
| Sumario: | Abstract. This dissertation is dedicated to study two problems: the first one is the study of Riesz Kernels attached to elliptic quadratic forms of dimensions 4 and 2, and its applications to the construction of fundamental solutions for pseudodifferential operators. The second problem is the study of parabolic-type pseudodifferential equations with variable coefficients in dimension 4 |
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