| 书目名称 | Singularities of integrals | | 副标题 | Homology, hyperfunct | | 编辑 | Frédéric Pham | | 视频video | | | 概述 | Provides a useful introduction to the subject of Singular Integrals.Offers a short but enlightening foreword by Prof. Jacques Bros.Supplementary references provide a convenient guide to subjects cover | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .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 | | 出版日期 | Textbook 2011 | | 关键词 | Homology; Landau variety; Leray residue; Picard-Lefschetz formulae; boundary value; current; family of sup | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-85729-603-0 | | isbn_softcover | 978-0-85729-602-3 | | isbn_ebook | 978-0-85729-603-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag London Limited 2011 |
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发表于 2025-3-21 19:51:11
