Vol. 254, No. 1, 2011

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The principle of stationary phase for the Fourier transform of D-modules

Jiangxue Fang

Vol. 254 (2011), No. 1, 117–128
Abstract

We show that the formal germ at the infinity of the Fourier transform of a holonomic D-module depends only on the formal germ of the D-module at its singular points and at the infinity.

Keywords
stationary phase principle
Mathematical Subject Classification 2010
Primary: 14F40
Milestones
Received: 16 December 2010
Revised: 20 January 2011
Accepted: 31 May 2011
Published: 7 February 2012
Authors
Jiangxue Fang
Department of Mathematics
Capital Normal University
Beijing 100148
China