An explicit stationary phase formula for the local formal Fourier-Laplace transform

Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We give an explicit formula (i.e., a formal stationary phase formula) for the local Fourier-Laplace transform of a formal germ of meromorphic connection of one complex variable with a possibly irregular singularity. This is a complex analogue of the formulas in the preprint math/0702436v1.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Claude Sabbah. An explicit stationary phase formula for the local formal Fourier-Laplace transform. Singularities I, 2008, United States. pp.309-330. ⟨hal-00854557⟩