简介:让是四元数海森堡组,并且让P是仿射的自守组。我们上经由P的单一的代表在四元数海森堡组上开发连续小浪变换的理论。光线的小浪的一个班被构造。反的小浪变换被使用光线的小浪简化。然后,我们上调查氡变换。一个Semyanistyi-Lizorkin空格被介绍,在哪个上氡变换是bijection。我们由欧几里德几何学的Fourier变换和组Fourier变换在两个上处理氡变换。这二个处理是实质上相等的。如果小浪是光滑的,我们也由使用小浪给一个倒置公式,它不要求功能的光滑。另外,我们获得上与亚拉普拉斯算符联系的氡变换的一个倒置公式。
简介:TheauthorsestablishsomeuniformestimatesforthedistancetohalfwaypointsofminimalgeodesicsintermsofthedistantcetoendpointsonsometypesofRiemannianmanifolds,andthenprovesometheoremsaboutthefinitegenerationoffundamentalgroupofRiemannianmanifoldwithnonnegativeRiccicurvature,whichsupportthefamousMilnorconjecture.
简介:LetAbeaunitalC*-algebra,n∈N∪{∞}.Itisprovedthattheisomorphism△n:Un0(A)/DUn0(A)→AffT(A)/△n0(π1(Un0(A)))isisometricforsomesuitabledistances.Asanapplication,theauthorhasthesplitexactsequence0→AffT(A)/△n0(π1(Un0(A)))iA→Un(A)/DUn(A)πA→Un(A)/Un0(A)→0withiAcontractive(andisometricifn=∞)undercertainconditionofA.
简介:VisegrádGroupisoneofthemostdynamicinternationalorganizationsamongCentralandEasternEuropeancountries.ItsmembersarePoland,theCzechRepublic,SlovakiaandHungary.TradebetweenVisegrádGroupandChinaaccountsforover70%ofthetotaltradebetweenChinaandCentralandEasternEurope(CEE),highlightingthegroup'simportance.
简介:我们是否用声学的记载的工具测量阶段或组速度,仍然被说服。在这份报纸,三种模型被用来由理论分析和数字模拟调查这个问题。首先,我们使用与不同速度包含二个飞机波浪的飞机波浪重叠模型并且能改变阶段速度和组速度的价值。数字结果看那阶段速度是否比组速度更高或低,用缓慢时间连贯(STC)我们能仅仅给阶段速度的方法。根据分散分析和分支切割集成的结果,当组速度由到达时间拣获得了时,第二在僵硬边界地上凿穿为分散曲线的结果和STC方法获得的速度是阶段速度的一阶的模式表演的波形建模。最后,偶极子登录一个慢形成模型用分散分析和真实轴的集成被调查。分散曲线和完整的波浪火车的结果与僵硬边界条件作为地上凿穿模型显示出类似的结论。
简介:Inthispaper,wegivetheholomorphicautomorphismgroupofthehigher-dimensionalgeneralizationofThullendomain.
简介:TheWorkingGrouponInternationalBorders---GeoenvironmentalConcerns(IBC)wasestablishedinlate2003andoperatesundertheauspicesofTheIUGSCommissiononGeologicalSciencesforEnvironmentalPlanning(COGEOENVIRONMENT).Thefollowingisabriefreportofthefirstyear'sactivitiesoftheIBCduring2003.
简介:Low-energypartial-waveπNscatteringdataisreexaminedwiththehelpoftheproductionrepresentationofpartial-waveSmatrix,wherebranchcutsandpolesarethoroughlyunderconsideration.Theleft-handcutcontributiontothephaseshiftisdetermined,withcontrolledsystematicerrorestimates,byusingtheresultsofO(p^3)chiralperturbativeamplitudesobtainedintheextended-onmass-shellscheme.InSnandPuchannels,severediscrepanciesareobservedbetweenthephaseshiftdataandthesumofallknowncontributions.Statisticallysatisfactoryfitstothedatacanonlybeachievedbyaddingextrapolesinthetwochannels.WefindthataSnresonancepolelocatesat√zr=(0.895±0.081)—(0.164±0.023)iGeV,onthecomplexs-plane.Ontheotherhand,aFnvirtualpole,asanaccompanyingpartnerofthenucleonbound-statepole,locatesat√zv=(0.966±0.018)GeV,slightlyabovethenucleonpoleontherealaxisbelowthreshold.Physicaloriginofthetwonewlyestablishedpolesisexploredtothebestofoiirknowledge.ItisemphasizedthattheO(p^3)calculationgreatlyimprovesthefitqualitycomparingwiththepreviousO(p^2)one.
简介:SupposethatCisthecomplexplaneandkisanon-negativeinteger.DefinefunctionsNk-(x)=|x|kifkisevenandNk(x)=x|x|k-1ifkisodd.SomeapproximationpropertiesofNk-(x)’sisdiscussedandanewexampleofaTchebycheffsystemisgivenout.