Eigenfunction Expansions Operator Algebras And Riemannian Symmetric Spaces
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Eigenfunction Expansions Operator Algebras and Riemannian Symmetric Spaces
Author | : Robert M Kauffman |
Publsiher | : CRC Press |
Total Pages | : 158 |
Release | : 1996-09-25 |
Genre | : Mathematics |
ISBN | : 0582276349 |
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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.
Recent Developments in Evolution Equations
Author | : G F Roach,A C Mcbride |
Publsiher | : CRC Press |
Total Pages | : 268 |
Release | : 1995-04-28 |
Genre | : Mathematics |
ISBN | : 0582246695 |
Download Recent Developments in Evolution Equations Book in PDF, Epub and Kindle
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.
Harmonic Analysis on Symmetric Spaces and Applications II
Author | : Audrey Terras |
Publsiher | : Springer Science & Business Media |
Total Pages | : 395 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461238201 |
Download Harmonic Analysis on Symmetric Spaces and Applications II Book in PDF, Epub and Kindle
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.
Hyperfunctions and Harmonic Analysis on Symmetric Spaces
Author | : Henrik Schlichtkrull |
Publsiher | : Springer Science & Business Media |
Total Pages | : 197 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461252986 |
Download Hyperfunctions and Harmonic Analysis on Symmetric Spaces Book in PDF, Epub and Kindle
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.
Lie Theory
Author | : Jean-Philippe Anker,Bent Orsted |
Publsiher | : Springer Science & Business Media |
Total Pages | : 183 |
Release | : 2006-02-25 |
Genre | : Mathematics |
ISBN | : 9780817644260 |
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* 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
Mathematical Reviews
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 962 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : UVA:X006180617 |
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Generalized Symmetric Spaces
Author | : O. Kowalski |
Publsiher | : Springer |
Total Pages | : 198 |
Release | : 2007-02-08 |
Genre | : Mathematics |
ISBN | : 9783540393290 |
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Representation Theory and Noncommutative Harmonic Analysis II
Author | : A.A. Kirillov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9783662097564 |
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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.