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Global analysis on foliated spaces, 2d ed.


Global analysis on foliated spaces, 2d ed.

Moore, Calvin C. and Claude L. Schochet.

Cambridge U. Pr.


293 pages



Mathematical Sciences Research Institute publications; 53


The first edition was published in 1988, and much has happened in the field since then. This second edition is adds updates at the end of each chapter, a new appendix reprinting a relevant article from Mathematical Reviews, an enlarged bibliography, and an index. Mathematicians Moore (U. of California-Berkeley) and Schochet (Wayne State U.) based this work on their lecture notes to serve as an introduction to the field and as a reference for students and researchers. In it they develop a variety of aspects of analysis and geometry on foliated spaces applicable to many contexts, dealing with the topics of locally traceable operators, tangential cohomology, transverse measures, characteristics classes, operator algebras, pseudodifferential operators, and the index theorem.

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Article Type:Book Review
Date:Jun 1, 2006
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