Eigenfunction Expansions Operator Algebras And Riemannian Symmetric Spaces

Author : Robert M Kauffman
Publisher : CRC Press
ISBN 13 : 9780582276345
Total Pages : 158 pages
Book Rating : 4.49/5 ( download)

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Download or read book Eigenfunction Expansions, Operator Algebras and Riemannian Symmetric Spaces written by Robert M Kauffman and published by CRC Press. This book was released on 1996-09-25 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note pays particular attention to studying the convergence of the expansion and to the case where D is a family of partial differential operators. All operators in the natural von Neumann algebraassociated with D, and also unbounded operators affiliated with this algebra, are expanded simultaneously in terms of generalized eigenprojections. These are operators which carry a natural space associated with D into its dual. The elements of the range of these eigenprojections are the eigenfunctions, which solve the appropriate eigenvalue equations by duality. The spectral measure is abstractly defined, but its absolute continuity with respect to Hausdorf measure on the joint spectrum is shown to occur when the eigenfunctions are very well-behaved. Uniqueness results are given showing that any two expansions arise from each other by a simple change of variable. A considerable effort has been made to keep the book self-contained for readers with a background in functional analysis including a basic understanding of the theory of von Neumann algebras. More advanced topics in functional analysis, andan introduction to differential geometry and differential operator theory, mostly without proofs, are given in an extensive section on background material.

Author : G F Roach
Publisher : CRC Press
ISBN 13 : 9780582246690
Total Pages : 268 pages
Book Rating : 4.95/5 ( download)

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Download or read book Recent Developments in Evolution Equations written by G F Roach and published by CRC Press. This book was released on 1995-04-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the majority of talks given at an International Converence held recently at the University of Strathclyde in Glasgow. The works presented focus on the analysis of mathematical models of systems evolving with time. The main topics are semigroups and related subjects connected with applications to partial differential equations of evolution type. Topics of particular interest include spectral and asymptotic properties of semigroups, B evolution scattering theory, and coagulation fragmentation phenomena.

Author : Henrik Schlichtkrull
Publisher : Springer Science & Business Media
ISBN 13 : 1461252989
Total Pages : 197 pages
Book Rating : 4.86/5 ( download)

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Download or read book Hyperfunctions and Harmonic Analysis on Symmetric Spaces written by Henrik Schlichtkrull and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

Author : Audrey Terras
Publisher : Springer Science & Business Media
ISBN 13 : 146123820X
Total Pages : 395 pages
Book Rating : 4.01/5 ( download)

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Download or read book Harmonic Analysis on Symmetric Spaces and Applications II written by Audrey Terras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent.

Author :
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.17/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A.A. Kirillov
Publisher : Springer Science & Business Media
ISBN 13 : 3662097567
Total Pages : 274 pages
Book Rating : 4.64/5 ( download)

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Download or read book Representation Theory and Noncommutative Harmonic Analysis II written by A.A. Kirillov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Author : T. N. Bailey
Publisher : American Mathematical Soc.
ISBN 13 : 0821806092
Total Pages : 490 pages
Book Rating : 4.98/5 ( download)

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Download or read book Representation Theory and Automorphic Forms written by T. N. Bailey and published by American Mathematical Soc.. This book was released on 1997 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Katrin Tent
Publisher : Cambridge University Press
ISBN 13 : 0521717884
Total Pages : 327 pages
Book Rating : 4.85/5 ( download)

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Download or read book Groups and Analysis written by Katrin Tent and published by Cambridge University Press. This book was released on 2008-10-16 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.

Author : Arthur James Wells
Publisher :
ISBN 13 :
Total Pages : 1672 pages
Book Rating : 4.82/5 ( download)

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Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 1996 with total page 1672 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
ISBN 13 : 0817644261
Total Pages : 183 pages
Book Rating : 4.60/5 ( download)

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Download or read book Lie Theory written by Jean-Philippe Anker and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology * Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required