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Laplace Transform of Temperate Holomorphic Functions

Published online by Cambridge University Press:  04 December 2007

Olivier Berni
Olivier Berni
Affiliation:
7, villa Compoint, 75017 Paris, France. E-mail: berni@math.jussieu.fr
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Abstract

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Let $\Bbb V$ be n-dimensional complex vector space. The aim of this paper is to give an elementary proof of the isomorphism ($\cal O$t$\Bbb _V$∧[n] ≃ $\cal O$t$\Bbb _V$*, which quantizes the Fourier–Sato transform of the conic sheaf $\cal O$t$\Bbb _V$ of temperate holomorphic functions

Keywords

Laplace transform$\cal D$-module
Type
Research Article
Information
Compositio Mathematica , Volume 129 , Issue 2 , November 2001 , pp. 183 - 201
Copyright
© 2001 Kluwer Academic Publishers