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1/6 Indsheaves, temperate holomorphic functions and irregular RH correspondence

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1/6 Indsheaves, temperate holomorphic functions and irregular RH correspondence
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1
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6
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2015
LanguageEnglish

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Abstract
The aim of the course is to describe the Riemann-Hilbert correspondence for holonomic D-modules in the irregular case and its applications to integral transforms with irregular kernels, especially the Laplace transform. The course will start with a detailed exposition of the theory of indsheaves (including sheaves on the subanalytic site) and its applications to the indsheaf of holomorphic temperate functions.