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arXiv · 1207.5278

On the Laplace transform for tempered holomorphic functions

Andrea D'Agnolo
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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.

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BibTeXRIS

Andrea D'Agnolo. 2013-09-10. On the Laplace transform for tempered holomorphic functions. https://doi.org/10.1093/imrn%2Frnt091

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