The principle of stationary phase for the Fourier transform of D-modules (Q411890)

The stationary phase approximation is a basic principle of asymptotic analysis and relates to the real Fourier transform. In 1987, Gérard Laumon introduced a corresponding principle of stationary phase related to the local \(l\)-adic Fourier transform. In this paper Jiangxue Fang shows 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.''NEWLINENEWLINEThe paper is very objective and focused in the main result, but includes the necessary information in order to be followed by a reader not specialized in the subject.