Differential equations on singular manifolds : semiclassical theory and operator algebras
著者
書誌事項
Differential equations on singular manifolds : semiclassical theory and operator algebras
（Mathematical topics, v. 15）
Wiley-VCH, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Aimed at mathematicians, this book presents new methods in the theory of differential equations on manifolds with singularities. It covers the semiclasical theory in quantum mechanics and discusses a large variety of non-standard degenerate operators.
目次
- GENERALITIES
- Structure Rings on Singular Manifolds
- Interaction of Asymptotic Expansions
- Resurgent Analysis of Functions of Polynomial Growth
- ELLIPTIC EQUATIONS
- Asymptotic Solutions on Manifolds with Conical Singularities
- Asymptotic Solutions on Manifolds with Cusp-Type Singularities
- Asymptotic Solutions on Manifolds with Corner-Type Singularities
- General Asymptotic Theory
- Finiteness Theorems
- HYPERBOLIC EQUATIONS
- Equations of Borel-Fuchs Type
- Vibration of Elastic Shells with Conical Points
- Appendices
- Bibliography
- Index.
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