简介：L-R轰动的产品的理论被扩大到更多样地Hopf代数学；Hopf代数学被给的为更多样地常规的L-R轰动的产品的一个足够的条件。特别地，纸的结果在轰动的产品的情况中暗示Delvaux的主要定理。

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

简介：Theaimofthispaperistogiveasimpleproofoftherestrictiontheoremforthemaximaloperatorsonthed-dimensionalEuclideanspaceRd,whosetheoremwasprovedbyCarro-Rodriguezin2012.Moreover,weshallgivesomeremarksoftherestrictiontheoremforthelinearandthemultilinearoperatorsbyCarro-RodriguezandRodriguez,too.

简介：TwoLatinsquaresofordervarer-orthogonaliftheirsuperpositionproducesexactlyrdistinctorderedpairs.Thetwosquaresaresaidtober-orthogonalidempotentLatinsquaresanddenotedbyr-MOILS(v)iftheyareallidempotent.Inthispaper,weshowthatforanyintegerv≥28,thereexistsanr-MOILS(v)ifandonlyifr∈[v,v~2]\{v+1,v~2-1}.

简介：这篇论文的主要目的R-subweakly是为点证明一些普通的固定的点定理明智的在标准p的空格并且局部地在non-starshaped领域上变换地图凸的拓扑的向量空格。作为应用，不变的近似结果被建立。这个工作在存在文学提供扩展以及几结果的实质的改进。

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简介：给出了r-置换因子循环矩阵的概念，并得到了一些性质，以及奇异性的判别方法。

简介：在这份报纸，我们发现一座桥与平面向量地在3连接向量地的一个班并且在3给关上的轨道，heteroclinic轨道和向量地的一个班的homoclinic轨道的存在的一个标准。向量地的这个班的所有可能的nonwandering集合掉进三个班：(i)奇特；(ii)关上了轨道；(iii)连接他们的奇特和轨道的工会的图。为向量地的固定的必要、足够的条件也被获得。

简介：Inthispaper,wegetW1,p(Rn)-boundednessfortangentialmaximalfunc-tionandnontangentialmaximalfunction,whichimprovesJ.Kinnunen,P.LindqvistandTananka’sresults.

简介：LetDbeaboundedC3-domaininRdand(aij)beaboundedsymmetricmatrixdefinedonD.Considerthesymmetricform（u,v）=1/2∫Daij（x）（u（x））/（xi）（v（x））/（xj）dx,u,v∈H1（D）.UndersomeassumptionsitisshownthatthediffusionprocessassociatedwiththeregularDirichletspace(,（H1（D））onL2（D）canbecharacterizedasauniquesolutionofacertainstochasticdifferentialequation.

简介：ThepapermodelsthearrivalofheterogeneousinformationduringR&DstagesasadoublystochasticPoissonprocess(DSPP).Thenewproductmarketintroductionisthoughtofasoptiononanoption(acompoundoption).ThispaperderivesananalyticapproximationvaluationformulafortheR&Doption,anddemonstratesthattheaccountsforheterogeneousinformationarrivalmayreducethepricingbiases.Thisway,thegapbetweenrealoptiontheoryandthepracticeofdecisionmakingwithrespecttoinvestmentinR&Disdiminished.

简介：在这篇论文，我们将学习Mobiustransformations的非基本的组在(R酒吧)~n和一些性质被获得。另外，在这篇论文，我们将关于组件标准和非基本的组ofM的组集中证明几条定理((R酒吧)~n)。

简介：BytheSchauder-Tychonofffixed-pointtheorem,weinvestigatetheexistenceandasymptoticbehaviorofpositiveradialsolutionsoffullynonlinearellipticequationsinR^n.WegivesomesufficientconditionstoguaranteetheexistenceofboundedandunboundedradialsolutionsandconsiderthenonexistenceofpositivesolutioninR^n.

简介：在这份报纸，我们在Rn定义领域的一个班。用反映Brownian运动的同步联合，我们与Neumann边界条件获得热方程的答案的monotonicity性质。我们然后证明热点为域的这个类推测抓住。

简介：AnexampleofcompletsRiemannianmetricofpositive(ornonnagative)curvatureonR^nsuchasds^2=a(x)dx^2isobtainedbydirectcaculations.Furthermore,byusingageodesicconvexconditionandatheoremforcompletenoncompactRiemannianmanifold,anexistenceresultofperiodicsulutionofprescribedenergyforasingularHamiltoniansystemisalsoobtained.

简介：LongtimebehaviorofdegenerateequationswiththenonlinearityofpolynomialgrowthofarbitraryorderonthewholespaceRNisconsidered.Byusing-trajectoriesmethods,weprovedthatweaksolutionsgeneratedbydegenerateequationspossessan(L2U(RN),L2loc(RN))-globalattractor.Moreover,theupperboundsoftheKolmogorovε-entropyforsuchglobalattractorarealsoobtained.

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