Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems
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The work Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems
Resource Information
The work Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems
 Title remainder
 Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems
 Statement of responsibility
 edited by JeanPhilippe Anker, Bent Orsted
 Language

 eng
 eng
 Summary
 Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, selfcontained volumes, under the general title Lie Theory, feature survey work and original results by wellestablished researchers in key areas of semisimple Lie theory. Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces. Van den Ban’s introductory chapter explains the basic setup of a reductive symmetric space along with a careful study of the structure theory, particularly for the ring of invariant differential operators for the relevant class of parabolic subgroups. Advanced topics for the formulation and understanding of the proof are covered, including Eisenstein integrals, regularity theorems, Maass–Selberg relations, and residue calculus for root systems. Schlichtkrull provides a cogent account of the basic ingredients in the harmonic analysis on a symmetric space through the explanation and definition of the Paley–Wiener theorem. Approaching the Plancherel theorem through an alternative viewpoint, the Schwartz space, Delorme bases his discussion and proof on asymptotic expansions of eigenfunctions and the theory of intertwining integrals. Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required
 Dewey number

 512.482
 512/.482
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 OgSEEETzA2M
 qPvjq7qMh_U
 Language note
 English
 LC call number

 QA252.3
 QA387
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Mathematics,
 Series volume
 230
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Context of Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel TheoremsWork of
 Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
 Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
 Lie Theory : Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
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