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OverviewFull Product DetailsAuthor: N. Th. Varopoulos (Université de Paris VI (Pierre et Marie Curie))Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 23.50cm , Height: 4.50cm , Length: 16.00cm Weight: 1.080kg ISBN: 9781107036499ISBN 10: 1107036496 Pages: 611 Publication Date: 22 October 2020 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface; 1. Introduction; Part I. The Analytic and Algebraic Classification: 2. The classification and the first main theorem; 3. NC-groups; 4. The B–NB classification; 5. NB-groups; 6. Other classes of locally compact groups; Appendix A. Semisimple groups and the Iwasawa decomposition; Appendix B. The characterisation of NB-algebras; Appendix C. The structure of NB-groups; Appendix D. Invariant differential operators and their diffusion kernels; Appendix E. Additional results. Alternative proofs and prospects; Part II. The Geometric Theory: 7. The geometric theory. An introduction; 8. The geometric NC-theorem; 9. Algebra and geometries on C-groups; 10. The end game in the C-theorem; 11. The metric classification; Appendix F. Retracts on general NB-groups (not necessarily simply connected); Part III. Homology Theory: 12. The homotopy and homology classification of connected Lie groups; 13. The polynomial homology for simply connected soluble groups; 14. Cohomology on Lie groups; Appendix G. Discrete groups; Epilogue; References; Index.Reviews'The motivated reader will find this book fascinating. It presents, in a somewhat idiosyncratic but readable way, a personal, substantial, and interesting mathematical journey.' Laurent Saloff-Coste, Bulletin of the American Mathematical Society 'The results presented in the book are original, deep and interesting. They straddle a large number of distinct areas of mathematics, such as Lie theory, probability theory, analysis, potential theory, geometry, and topology. The author makes a valiant attempt to present the material in a self-contained and understandable way. The text mentions a number of significant open questions that emerge from the work.' Laurent Saloff-Coste, MathSciNet 'The motivated reader will find this book fascinating. It presents, in a somewhat idiosyncratic but readable way, a personal, substantial, and interesting mathematical journey.' Laurent Saloff-Coste, Bulletin of the American Mathematical Society Author InformationN. Th. Varopoulos was for many years a professor at Université de Paris VI. He is a member of the Institut Universitaire de France. Tab Content 6Author Website:Countries AvailableAll regions |
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