Algunas propiedades de regularidad de las ecuaciones diferenciales complejas

Two classes of differential operators, one defined by analytic functions the other by formal series, are introduced; we call them pseudo-differential operators. As auxiliary tools, and with the help of two duality theorems (formal series vs. polynomials, entire functions vs. entire functions of expo...

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Autores:
Rodríguez Montes, Jaime
Tipo de recurso:
Article of journal
Fecha de publicación:
1980
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42617
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42617
http://bdigital.unal.edu.co/32714/
Palabra clave:
Operadores diferenciales
funciones analíticas
pseudo-diferenciales operadores
teoremas de dualidad
formal vs polinomios
funciones enteras
tipo exponencial
homología
cadena compleja
teoremas de regularidad. / Differential operators
analytic fun
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Two classes of differential operators, one defined by analytic functions the other by formal series, are introduced; we call them pseudo-differential operators. As auxiliary tools, and with the help of two duality theorems (formal series vs. polynomials, entire functions vs. entire functions of exponential type) and some homological algebra technics (Euler- Poincaré characteristic of a chain-complex, exact homology of a chain-complex, exact homology sequence of an exact short sequence of complexes), these operators are used to establish some regularity theorems for differential equations in the complex domain.