Singular integrals and the stationary phase methods

Lê Tráng , Eric Delabaere (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

The paper is based on a course given in 2007 at an ICTP school in Alexandria, Egypt. It aims at introducing young scientists to methods to calculate asymptotic developments of singular integrals.
 

Mots clés: asymptotic in the complex domain; singular integrals; singularities; steepest descent

Domaines: Variables complexes [math.CV]

Lê Tráng, Eric Delabaere. Singular integrals and the stationary phase methods. Algebraic Approach to Differential Equations, World Scientific, pp.136-209, 2010, 978-981-4273-23-7. ⟨10.1142/9789814273244_0004⟩. ⟨hal-01886523⟩