简介：这份报纸与随机的系数为随机的系统涉及混合H2/H控制，它实际上是把H2优化与H2/H的名字揭示的H柔韧的性能相结合的控制。基于古典理论线性二次(LQ短)最佳的控制，为不定的向后的随机的Riccati方程的答案的存在和唯一的足够、必要的条件(BSRE，为短)把坚韧性与H联系了被导出。然后，为H2/H控制的存在的足够、必要的条件被给利用一双联合随机的Riccati方程。

简介：Let'stakeHasaninfinite–dimensionalHilbertspaceandK(H)bethesetofallcompactoperatorsonH.UsingSpectraltheoremforcompactself–adjointoperators,weprovetheHyers–UlamstabilityofJensen*-derivationsfromK(H)intoK(H).

简介：本文续文[1]指出用常微分方程的一般方法不易求解或不能求解的一类非齐次非线性问题可用WF-(H~h)/(h~i)告变换法解决.

简介：A(k;g)-graphisak-regulargraphwithgirthg.A(k;g)-cageisa(k;g)-graphwiththeleastpossiblenumberofvertices.Letf(k;g)denotethenumberofverticesina(k;g)-cage.Thegirthpairofagraphgivesthelengthofashortestoddandashortestevencycle.Afc-regulargraphwithgirthpair(g,h)iscalleda(k;g,h)-graph.A(k;g,h)-cageisa(k;g,h)-graphwiththeleastpossiblenumberofvertices.Letf(k;g,h)denotethenumberofverticesina(k;g,h)-cage.Inthispaper,weprovethefollowingstrictinequalityf(k;h-1,h)h),k≥3,h≥4.

简介：LetZbeatopologicalspaceandmappingA2:Z→B(H)withclosedrangeR(A2)becontinuous.SomenecessaryandsufficientconditionsofthecontinuityofM-PinversesAz+aregivenin[1],[2].ItisoneofthemthatAZ+iscontinuousifanaonlyifAZ+islocallybounded.Inthispaper,wediscussthefollowingproblem:iflimAn=A0inB(H)and||An+||isunbounded(i.e.theabovenecessaryandsufficientconditionfails),whathinHwillmaketheequations:limAm+h=A0+horw-limAn+h=A0+hbetrue.Forthispurposethreetheoremsandanerrorestimationaregiveninthispaper.

简介：1IntroductionLetA∈Cn×n,B∈Cn×n.WesayBisasquarerootofAifA=B×Bi.e.A=B2.Itiswell-knownthatanysymmetricpositivedefinitematrixexistsoneandonlyonesquarerootwhichisasymmetricpositivedefinitematrix,too（e.g.see[5]）.Higham[4]studiedcarefullytherelationofarealnonsingularmatrixbetweenitsrealsquarerootsanditseigenvalues.AlefeldandSchneider[1]pointedoutthatforanynonsingularM-ma-trixthereisoneandonlyoneM-matrixasitssquareroot.Inthispaper,westudyona

简介：讨论向量值函数的Banach代数H^∞（D；X）的极大理想空间的拓扑性质和代数性质，得到了若干结果。

简介：Weestablishseveralfundamentalidentities,includingrecurrencerelations,degreeelevationformulas,partitionofunityandMarsdenidentity,forquantumBernsteinbasesandquantumBeziercurves.WealsodeveloptwotermrecurrencerelationsforquantumBernsteinbasesandrecursiveevaluationalgorithmsforquantumBeziercurves.Ourproofsusestandardmathematicalinductionandotherelementarytechniques.

简介：ThispapershowsthatforΩ∈H1(Sn-1),MarcinkiewiczintegraloperatorμΩisLp(Rn)boundedfor1＜p＜∞,whichimprovessomeknownresults.

简介：WegiveaCliffordalgebracharacterizationofclassicalHardyspacesHp(R+n+1),0

简介：Inthispaper,westudythehomogeneouspolynomialsorthogonalwiththeweightfunctionh(x(d))=x2k11green.Itissimplerthantheformulain[2],andcanberegardedasanextensionof[1]undertheweightedcase.

简介：Givennon-negativeintegersm,n,handkwithm≥h>1andn≥k>1,an(h,k)-bipartitehypertournamentonm+nverticesisatriple(U,V,A),whereUandVaretwosetsofverticeswith|U|=mand|V|=n,andAisasetof(h+k)-tuplesofvertices,calledarcs,withatmosthverticesfromUandatmostkverticesfromV,suchthatforanyh+ksubsetsU_1∪V_1ofU∪V,Acontainsexactlyoneofthe(h+k)!(h+k)-tupleswhoseentriesbelongtoU_1∪V_1.Necessaryandsufficientconditionsforapairofnon-decreasingsequencesofnon-negativeintegerstobethelosingscorelistsorscorelistsofsome(h,k)-bipartitehypertournamentareobtained.

简介：Inthispaper,theauthorsstudysomepropertiesofLittlewood-Paleyg-functionsg_ψ(f),LusinareafunctionsS_(ψ,α)(f)andLittlewood-Paleyg_(ψ,λ)~*(f)functionsdefinedonH~n,whereα,λ>0andψ,faresuitablefunctions.TheyarethegeneralizationofthecorrespondingoperatorsonR~n.

简介：给出了置换因子循环矩阵A=PercircP（F_0^（k,h）,F_1^（k,h），＊＊＊,F_n-1^（k,h）和B=PercircP（L_0^（k,h），L_1^（k,h）,＊＊＊,L_n-1^（k,h）的谱范数的上界与下界，得到了矩阵A与B的Kronecker积与Hadamard积的谱范数的一些界．

简介：让n≥2是一个固定积极整数，q≥3并且c是二个整数与(n，q)=(c，q)=1。我们由r表示n(δ1,δ2,c；q)(0<δ1,δ2≤1)都个整数的数字一，b令人满意的ab≡c(现代派的q)，1≤≤δ1q，1≤b≤δ2q，(一，q)=(b，q)=1并且n†(+b)。这篇论文的主要目的是学习rn(δ1,δ2,c；q)，并且为它给一个锋利的asymptotic公式。

简介：让L~p(Ω，H~n)为海森堡显示地图的L~p空间组目标。在这篇论文，一些新性质为空间L~p被获得(Ω，H~n)。

简介：1IntroductionH-matriceshaveimportantroleinnumericalanalysisandmatrixtheory,etc.Inthispaper,severalpracticalcriteriaforH-matricesareobtained,towhichthematrixisnotnecessarybeadiagonallydominantmatrix,andthenumbersofrowswhicharenotdiago-naldominantcanben-1.Weintroducetheconceptofα-diagonallydominantmatrix,andbyusingtheconcepttoinvestigateH-matrices.

简介：Alooplessgraphonnverticesinwhichverticesareconnectedatleastbyaandatmostbybedgesiscalleda(a,b,n)-graph.A(b,b,n)-graphiscalled(b,n)-graphandisdenotedbyKbn(itisacompletegraph),itscomplementbyKbn.Anonincreasingsequencep=(d1,…,dn)ofnonnegativeintegersissaidtobe(a,b,n)graphicifitisrealizablebyan(a,b,n)-graph.Wesayasimplegraphicsequencep=(d1,…,dn)ispotentiallyK4—K2[K2-graphicifithasaarealizationcontaininganK4—K2[K2asasubgraphwhereK4isacompletegraphonfourverticesandK2[K2isasetofindependentedges.Inthispaper,wefindthesmallestdegreesumsuchthateveryn-termgraphicalsequencecontainsK4—K2[K2assubgraph.

简介：TheauthorsconsidertheextendedHeckegroupsH(λq)generatedbyT(z)=-1/z,S(z)=-1/(z+λq)andR(z)=1/-zwithλq=2cos(π/q)forq≥3aninteger.Inthispaper,theevensubgroupHe(λq),thesecondcommutatorsubgroupH"(λq)andtheprincipalcongruencesubgroupsHp(λq)oftheextendedHeckegroupsH(λq)arestudied.Also,relationsbetweenthemaregiven.

简介：在这份报纸，我们基于范围的楔学习comultiplications的homotopy逆和co-H-spaces的代数学的环的性质。我们也调查一个方法由使用一个组行动从旧的构造新comultiplications。我们首先对有的代数学的环感兴趣反向，力量联合并且为某comultiplications的Moufang性质。