A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions

• Autorzy: Zurro M. A.
• Języki publikacji: EN

Abstrakty

EN

The paper studies the relation between asymptotically developable functions in several complex variables and their extensions as functions of real variables. A new Taylor type formula with integral remainder in several variables is an essential tool. We prove that strongly asymptotically developable functions defined on polysectors have $C^∞$ extensions from any subpolysector; the Gevrey case is included.

Kategorie tematyczne

• 34E05: Asymptotic expansions
• 58A17: Pfaffian systems
• 58A20: Jets
• 35C10: Series solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 123
• Numer: 2
• Strony: 151-163

Daty

wydano

1997

otrzymano

1996-06-28

poprawiono

1996-09-17

Twórcy

autor

Zurro M. A.

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Ciudad Universitaria de Canto Blanco, 28049 Madrid, Spain

Bibliografia

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