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Singularities of integrals

Homology, hyperfunctions and microlocal analysis

Springer London,
Buch
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Synthesizing two key texts from Frédéric Pham’s groundbreaking research in algebraic geometry, this essential introduction to the singularities of integrals focuses on topological and geometrical aspects before moving on to explain the analytical approach.

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Titel: Singularities of integrals
Autoren/Herausgeber: Frédéric Pham
Aus der Reihe: Universitext
Ausgabe: 2011

ISBN/EAN: 9780857296023
Originaltitel: Intégrales singulières
Originalsprache: Französisch

Seitenzahl: 217
Format: 0 x 0 cm
Produktform: Taschenbuch/Softcover
Gewicht: 361 g
Sprache: Englisch

Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis.Providing a ‘must-have’ introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered.This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals.Frédéric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions.

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