On the Laplace transform for tempered holomorphic functions
Algebraic Geometry
2014-12-15 v3
Abstract
In order to discuss the Fourier-Sato transform of not necessarily conic sheaves, we compensate the lack of homogeneity by adding an extra variable. We can then obtain Paley-Wiener type results, using a theorem by Kashiwara and Schapira on the Laplace transform for tempered holomorphic functions. As a key tool in our approach, we introduce the subanalytic sheaf of holomorphic functions with exponential growth, which should be of independent interest.
Keywords
Cite
@article{arxiv.1207.5278,
title = {On the Laplace transform for tempered holomorphic functions},
author = {Andrea D'Agnolo},
journal= {arXiv preprint arXiv:1207.5278},
year = {2014}
}
Comments
31 pages, section numbering modified to reflect the published version of the paper