By Frédéric Pham
ISBN-10: 0857296027
ISBN-13: 9780857296023
Bringing jointly primary texts from Frédéric Pham’s examine on singular integrals, the 1st a part of this publication makes a speciality of topological and geometrical features whereas the second one explains the analytic strategy. 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 by means of the paintings of Nilsson, are then approached utilizing equipment from the speculation 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 advisor to the themes covered.
This ebook will attract either mathematicians and physicists with an curiosity within the zone of singularities of integrals.
Frédéric Pham, now retired, was once Professor on the collage of great. He has released a number of academic and examine texts. His fresh paintings issues semi-classical research and resurgent functions.
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Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext) by Frédéric Pham
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