简介:AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.
简介:Wepresenttheextendedhydrogenatomandmonopole-hydrogenatomtheorythroughgeneralizingtheusualhydrogenatommodelandwithamonopolemodelrespectively,inwhichY(sl(2))algebrasarerealized.WederivetheHamiltoniansofthetwomodelsbasedontheY(sl(2))andthegeneralizedPauliequation.TheenergyspectraofthesystemsarealsogivenintermsofYangianalgebraandquantummechanics.
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简介:论证了零级υ值代数体函数w(z)在满足某些条件下T方向的存在性,同时给出了最大型Borel方向与T方向之间的关系.