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简介：.Thesingle2dilationorthogonalwaveletmultipliersinonedimensionalcaseandsingleA-dilation（whereAisanyexpansivematrixwithintegerentriesand｜detA｜=2）waveletmultipliersinhighdimensionalcasewerecompletelycharacterizedbytheWutamConsortium（1998）andZ.Y.Li,etal.（2010）.Butthereexistnomoreresultsonorthogonalmultivariatewaveletmatrixmultiplierscorrespondingintegerexpansivedilationmatrixwiththeabsolutevalueofdeterminantnot2inL2（R2）.Inthispaper,wechoose2I2=（2002）asthedilationmatrixandconsiderthe2I2-dilationorthogonalmultivariatewaveletY={y1,y2,y3},（whichiscalledadyadicbivariatewavelet）multipliers.Wecallthe3×3matrix-valuedfunctionA（s）=[fi,j（s）]3×3,wherefi,jaremeasurablefunctions,adyadicbivariatematrixFourierwaveletmultiplieriftheinverseFouriertransformofA（s）（cy1（s）,cy2（s）,cy3（s））？=（bg1（s）,bg2（s）,bg3（s））？isadyadicbivariatewaveletwhenever（y1,y2,y3）isanydyadicbivariatewavelet.Wegivesomeconditionsfordyadicmatrixbivariatewaveletmultipliers.TheresultsextendedthatofZ.Y.LiandX.L.Shi（2011）.Asanapplication,weconstructsomeusefuldyadicbivariatewaveletsbyusingdyadicFouriermatrixwaveletmultipliersandusethemtoimagedenoising.

简介：SodiumdithioniteinitiatedsulfinatodehalogenationofBrCF2CF2Risstudied.

简介：Theobjectofthispaperistoshowregularityof(0,1,...,r-2,r)interpolationonthesetobtainedbyprojectingverticallythezerosof(1-x2)pn(x)(λ≥1/2)ontotheunitcircle,wherePn(x)standsforthenthultrasphericalpolynomial.

简介：Inthispaperwestudytheaverageσ-Kwidthandtheaverageσ-linearwidthoftheunitballofl1x（R）inl2α（R）.Theexactvaluesofthesewidthsarecalculatedandanoptimalsubspacewiththeoptimallinearopera-tor（fortheσ-linearwidth）areidentified.

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.

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简介：Inthispaper,theauthorsobtaintheBaecklundtransformationontime-likesurfaceswithconstantmeancurvatureinR^2,1.Usingthistransformation,familiesofsurfaceswithconstantmeancurvaturefromknownonescanbeconstructed.

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简介：ThecommutatorsofsingularintegraloperatorswithhomogeneouskernelΩ(x)/|x|^narestudied,whereΩishomogeneousofdegreezero,andhasmeanvaluezeroontheunitsphere.ItisprovedthatΩ∈L(logL)^(k+1)(S^(n-1))isasufficientconditionsuchthatthek-thordercommutatorisboundedonL^2(R^n).

简介：图G的广义Randic指标定义为Rα=Rα（G）=∑uv∈E（G）（d（u）d（v））^α，其中d（u）是G的顶点u的度，α是任意实数．本文确定了单圈共轭图的广义Randic指标R-1的严格下界，并刻划了达到最小R-1的极图，这类极图还是化学图．

简介：Letuk(2,r)bealittleq-Schuralgebraoverk,wherekisafieldcontaininganl-thprimitiverootεof1withl≥4even,theauthorconstructsacertainmonomialbaseforlittleq-Schuralgebrauk(2,r).

简介：TheauthorsdiscussproblemsofapproximationtofunctionsinL^2(R^n)andoperatorsfromL^2(R^n1)toL^2(R^n2)byRadial-BasisFunctions.TheresultsobtainedsolvetheparblemofcapabilityofRBFneuralnetworks,abasicprobleminneuralnetworks.

简介：Theneutron-richisotopeswithN40below68Ni,inmanywaysbehavesimilartothe“islandofinversion”nucleiwithN20.Wereportonthemeasurementsofexcitedstatesof63;65;67Mnviain-beam-rayspectroscopy.TheexperimentwasperformedattheRadioactiveIsotopeBeamFactory,RIKEN.Analysisofdatafor63;65;67MnobtainedintheSEASTARcampaignhasbeendone.Afewtransitionshavebeenidentifiedineachofthemprovidingachancetostudythesystematicstructureevolutionofn-richMnisotopesnearN40.

简介：Opticallyactive(R)-(+)-2,2’-bis(2-trifluoro-4-aminophenoxy)-1,1’-binaphthylwaspreparedfrom1,1’-bi-2-naphthol.Theopticallyactivearomaticpolyimidewasalsosuccessfullysynthesized.Thisnewpolymerhasgoodsolubility,thermalstabilityetc.Itsspecificrotationwasfoundtobe+174°,anditschiropticalpropertywasalsostudied.

简介：给出了两种插值算子，并研究了它们在和L2πp和Lp（R）L空间上的逼近阶．用实数α阶的积分模给出逼近度．更多还原

简介：Theregionaroundthedouble-closedshellnucleus208Pbhasbeenparticularlyusefulinstudyingresidualinteractions.ThelowspinisomersoftheisotopesintheN=127,Z=8387regionhavebeenidentifiedinlastfiftyyearsexcept213Rn[1??4].Inourrecentimplantation–r-acorrelationstudyoftheisotopesaroundtheN=126shellclosure,anewrayisobservedbetweentheimplantationsandthedecaysof213Rn,whichcouldbeduetothedepopulationoftheisomerof213Rnmentionedabove.

简介：UsingthemethodofGirsanovtransformation,weestablishtheTalagrand'sT2-inequalityfordiffusiononthepathspaceC([0,N],R^d)withrespecttoauniformmetric,withtheconstantindependentofN.ThisimprovestheknownresultsfortheL2-metric.

简介：给出了两种插值算子，并研究了它们在L^2πp和Lp(R)空间上的逼近阶，用实数α阶的积分模给出逼近度。