Conic sheaves on subanalytic sites and Laplace transform
Algebraic Geometry
2012-03-02 v2
Abstract
In this paper we give a construction of conic sheaves on a subanalytic site and we extend the Fourier-Sato transform to this framework. Let E be a n dimensional complex vector space and let E^* be its dual. As an application we construct the conic sheaves and of tempered and Whitney holomorphic functions respectively and we give a sheaf theoretical interpretation of the Laplace isomorphisms of Kashiwara and Schapira which give the isomorphisms in the derived category and .
Keywords
Cite
@article{arxiv.math/0505505,
title = {Conic sheaves on subanalytic sites and Laplace transform},
author = {Luca Prelli},
journal= {arXiv preprint arXiv:math/0505505},
year = {2012}
}
Comments
36 pages, uses xy-pic