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...
- 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
| 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. |
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