Multi-specialization and multi-asymptotic expansions

In this paper we extend the notion of specialization functor to the case of several closed submanifolds satisfying some suitable conditions. Applying this functor to the sheaf of Whitney holomorphic functions we construct different kinds of sheaves of multi-asymptotically developable functions, whos...

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Bibliographic Details
Published inAdvances in mathematics (New York. 1965) Vol. 232; no. 1; pp. 432 - 498
Main Authors Honda, Naofumi, Prelli, Luca
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2013
Subjects
Algebraic analysis
Asymptotic expansions
Normal deformation
Specialization
Subanalytic sheaves
Asymptotic expansions
Specialization
Subanalytic sheaves
Algebraic analysis
Normal deformation
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Summary:In this paper we extend the notion of specialization functor to the case of several closed submanifolds satisfying some suitable conditions. Applying this functor to the sheaf of Whitney holomorphic functions we construct different kinds of sheaves of multi-asymptotically developable functions, whose definitions are natural extensions of the definition of strongly asymptotically developable functions introduced by Majima.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2012.08.017