On strongly asymptotically developable functions and the Borel-Ritt theorem

• Autorzy: J. Sanz , F. Galindo
• Języki publikacji: EN

Abstrakty

EN

We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.

Kategorie tematyczne

• 34E05: Asymptotic expansions
• 41Axx: Approximations and expansions
• 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 133
• Numer: 3
• Strony: 231-248

Daty

wydano

1999

otrzymano

1997-06-21

poprawiono

1998-02-05

Twórcy

autor

J. Sanz

• Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain c/ Prado de la Magdalena s/n

autor

F. Galindo

• Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain c/ Prado de la Magdalena s/n

Bibliografia

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