简介：Inthispaper,abetterasymptoticorderofFouriertransformonSL(2,R)isobtainedbyusingclassicalanalysisandLieanalysiscomparingwiththatof[5]、[6],andthePlanchereltheoremonCc2(SL(2,R))isalsoobtainedasanapplication.

简介：AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.

简介：Usingrecursivemethod,thispaperstudiesthequeuesizepropertiesatanyepochn+inGeom/G/1(E,SV)queueingmodelwithfeedbackunderLASDA(latearrivalsystemwithdelayedaccess)setup.Somenewresultsabouttherecursiveexpressionsofqueuesizedistributionatdifferentepoch(n+,n,n-)areobtained.Furthermoretheimportantrelationsbetweenstationaryqueuesizedistributionatdifferentepochsarediscovered.TheresultsaredifferentfromtherelationsgiveninM/G/1queueingsystem.Themodeldiscussedinthispapercanbewidelyappliedinmanykindsofcommunicationsandcomputernetwork.

简介：ThispapersolvesanopenproblemofVaserstein.Themainresultis:theequationx^m+y^m=z^mhasasolutioninSL2zifandonlyifmisnotdivisibleby4or6andmisnotcongruentto3modulo6.

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