## Singularities of integrals: Homology, hyperfunctions and by Frédéric Pham

By Frédéric Pham

Bringing jointly primary texts from Frédéric Pham’s study on singular integrals, the 1st a part of this ebook makes a speciality of topological and geometrical points whereas the second one explains the analytic technique. utilizing notions built by means of J. Leray within the calculus of residues in different variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational learn of the singularities of integrals lies on the interface among research and algebraic geometry, culminating within the Picard-Lefschetz formulae. those mathematical buildings, enriched through the paintings of Nilsson, are then approached utilizing tools from the idea of differential equations and generalized from the perspective of hyperfunction thought and microlocal analysis.

Providing a ‘must-have’ advent to the singularities of integrals, a couple of supplementary references additionally provide a handy consultant to the themes covered.

This e-book will entice either mathematicians and physicists with an curiosity within the region of singularities of integrals.

Frédéric Pham, now retired, was once Professor on the collage of great. He has released numerous academic and study texts. His fresh paintings issues semi-classical research and resurgent functions.