000			04077nam a22005415i 4500
001			978-0-8176-4426-0
003			DE-He213
005			20251006084434.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644260
020			_a99780817644260
024	7		_a10.1007/b138865 _2doi
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aAnker, Jean-Philippe. _eeditor.
245	1	0	_aLie Theory _h[electronic resource] : _bHarmonic Analysis on Symmetric Spaces-General Plancherel Theorems / _cedited by Jean-Philippe Anker, Bent Orsted.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aVIII, 175 p. 3 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v230
505	0		_aThe Plancherel Theorem for a Reductive Symmetric Space -- The Paley-Wiener Theorem for a Reductive Symmetric Space -- The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space.
520			_aSemisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established 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.
650		0	_aMATHEMATICS.
650		0	_aGROUP THEORY.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aHARMONIC ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650	1	4	_aMATHEMATICS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aSEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
700	1		_aOrsted, Bent. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817637774
830		0	_aProgress in Mathematics ; _v230
856	4	0	_uhttp://dx.doi.org/10.1007/b138865 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59627 _d59627