Overview
- Authors:
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Werner O. Amrein
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Ecole de Physique, Université de Genève, Genève, Switzerland
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Anne Boutet de Monvel
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Institut de Mathématiques de Jussieu, Université Paris Diderot, Paris, France
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Vladimir Georgescu
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Département de Mathématiques, Université de Cergy-Pontoise, Cergy-Pontoise, France
- Well-written research monograph that stimulates the further theory evolution of the field
- Self-contained and accessible to advanced students
- Provides auxiliary background material and develops the necessary tools from functional analysis
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About this book
The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudo-differential operators and N-body Schrödinger hamiltonians. Another topic is a new algebraic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamiltonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially self-contained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multi-parameter C0-groups. Certainly this monograph (containing a bibliography of 170 items) is a well-written contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews)
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Article
29 September 2021
Table of contents (10 chapters)
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 1-28
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 29-72
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 73-170
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 171-190
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 191-233
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 235-265
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 267-356
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- Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 357-399
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- Werner O. Amrein, Anne Boutet de Monvel, V. Georgescu
Pages 401-432
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- Werner O Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Pages 433-443
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Back Matter
Pages 445-460
Authors and Affiliations
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Ecole de Physique, Université de Genève, Genève, Switzerland
Werner O. Amrein
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Institut de Mathématiques de Jussieu, Université Paris Diderot, Paris, France
Anne Boutet de Monvel
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Département de Mathématiques, Université de Cergy-Pontoise, Cergy-Pontoise, France
Vladimir Georgescu
About the authors
Werner O. Amrein is a Professor of Mathematics at the University of Geneva, Switzerland.
Anne Boutet de Monvel is a Professor of Mathematics at the University Paris Diderot, France.
Vladimir Georgescu is a Professor of Mathematics at the University of Cergy-Pontoise, France.