Download E-books Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext) PDF

By Frédéric Pham

Bringing jointly primary texts from Frédéric Pham’s study on singular integrals, the 1st a part of this e-book specializes in topological and geometrical facets whereas the second one explains the analytic process. utilizing notions built via 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 constructions, enriched via the paintings of Nilsson, are then approached utilizing equipment from the speculation of differential equations and generalized from the viewpoint 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 ebook will entice either mathematicians and physicists with an curiosity within the quarter of singularities of integrals.

Frédéric Pham, now retired, used to be Professor on the college of great. He has released a number of academic and study texts. His fresh paintings matters semi-classical research and resurgent functions.

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