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1、HarmonicAnalysisandSpecialFunctionsonSymmetricSpacesPERSPECTIVESINMATHEMATICS,Vol.16S,Helgason,editorHarmonicAnalysisandSpecialFunctionsonSymmetricSpacesGerritHeckmanDepartmentofMathematics,KUNNijmegen,TheNetherlandsHenrikSchlicktkrullDepartmentofMathematicsandPhysicsTheRoyalVeterinaryan
2、dAgriculturalUniversityFrederiksberg,DenmarkACADEMICPRESSSanDiegoNewYorkBostonLondonSydneyTokyoTorontoThisbookisprintedonacid-freepaper.@Copyright01994byACADEMICPRESS,INC.AllRightsReserved.Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,inc
3、ludingphotocopy,recording,oranyinformationstorageandretrievalsystem,withoutpermissioninwritingfromthepublisher.AcademicPress,Inc.ADivisionofHarcourtBrace&Company525BStreet,Suite1900,SanDiego,California92101-4495UnitedKingdomEditionpublishedbyAcademicPressLimited24-28OvalRoad,LondonNW17DX
4、LibraryofCongressCataloging-in-PublicationDataHeckman,Gerrit.Harmonicanalysisandspecialfunctionsonsymmetricspaces/GerritHeckman,HenrikSchlichtkrull.P.cm.--(Perspectivesinmathematics:vol.!4)Includesbibliographicalreferencesandindex.ISBN0-12-336170-21.symmetricspaces.2.Harmonicanalysis.I.S
5、chlichtkrull,Henrik,date.11.Title.111.Series.QA649.H421994516.3'62--dc2094-26553CIPPRINTEDINTHEUNITEDSTATESOFAMERICA949596979899BC987654321WithlovetoElise,Jesse,andMichael,ourchildrenThisPageIntentionallyLeftBlankContentsPreface......................ixPartI:HypergeometricandSphericalFunc
6、tionsG.Heckman...................1Part11:HarmonicAnalysisonSemisimpleSymmetricSpacesH.Schlichtkrull.................91Part111:AreK-invariantEisensteinIntegralsforG/HHypergeometricFunctions?G.Heckman..................189References....................209Index......................223viiThi
7、sPageIntentionallyLeftBlankPrefaceInthesummerof1991,M.Duflo,J.Faraut,andJ.WaldspurgerorganizedasummerschoolinLuminy(France)forPh.D.studentsinthefieldofLiegroups.Subsequentlythisinitiativehasbecomeanannualevent,heldinoneoftheEuropeancountriesunderthenameof"EuropeanSchoolof
