Multi-specialization and multi-asymptotic expansions

作者：Honda Naofumi; Prelli Luca^*

来源：Advances in Mathematics, 2013, 232(1): 432-498.

DOI：10.1016/j.aim.2012.08.017

• Algebraic analysis
• Asymptotic expansions
• Specialization
• Normal deformation
• Subanalytic sheaves

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.

• 出版日期2013-1-15