学科分类
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500 个结果
  • 简介:.Thesingle2dilationorthogonalwaveletmultipliersinonedimensionalcaseandsingleA-dilation(whereAisanyexpansivematrixwithintegerentriesand|detA|=2)waveletmultipliersinhighdimensionalcasewerecompletelycharacterizedbytheWutamConsortium(1998)andZ.Y.Li,etal.(2010).Butthereexistnomoreresultsonorthogonalmultivariatewaveletmatrixmultiplierscorrespondingintegerexpansivedilationmatrixwiththeabsolutevalueofdeterminantnot2inL2R2).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.

  • 标签: Multi-wavelets FOURIER multipliers image denoising.
  • 简介:Theobjectofthispaperistoshowregularityof(0,1,...,r-2,r)interpolationonthesetobtainedbyprojectingverticallythezerosof(1-x2)pn(x)(λ≥1/2)ontotheunitcircle,wherePn(x)standsforthenthultrasphericalpolynomial.

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

  • 标签: exact inequality opera subspace AVERAGE R)IN
  • 简介:AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.

  • 标签: 线性函数 倒置公式 近似值 数学分析 证明方法
  • 简介:ThecommutatorsofsingularintegraloperatorswithhomogeneouskernelΩ(x)/|x|^narestudied,whereΩishomogeneousofdegreezero,andhasmeanvaluezeroontheunitsphere.ItisprovedthatΩ∈L(logL)^(k+1)(S^(n-1))isasufficientconditionsuchthatthek-thordercommutatorisboundedonL^2(R^n).

  • 标签: 转接器 单一积分算子 有界平均振动 傅里叶变换
  • 简介: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,这类极还是化学

  • 标签: 广义Randi指标 单圈图 完美匹配
  • 简介:Letuk(2,r)bealittleq-Schuralgebraoverk,wherekisafieldcontaininganl-thprimitiverootεof1withl≥4even,theauthorconstructsacertainmonomialbaseforlittleq-Schuralgebrauk(2,r).

  • 标签: Schur代数 英国 单项
  • 简介:TheauthorsdiscussproblemsofapproximationtofunctionsinL^2(R^n)andoperatorsfromL^2(R^n1)toL^2(R^n2)byRadial-BasisFunctions.TheresultsobtainedsolvetheparblemofcapabilityofRBFneuralnetworks,abasicprobleminneuralnetworks.

  • 标签: 径向基函数 中性网络 逼近函数 算子
  • 简介:Theneutron-richisotopeswithN40below68Ni,inmanywaysbehavesimilartothe“islandofinversion”nucleiwithN20.Wereportonthemeasurementsofexcitedstatesof63;65;67Mnviain-beam-rayspectroscopy.TheexperimentwasperformedattheRadioactiveIsotopeBeamFactory,RIKEN.Analysisofdatafor63;65;67MnobtainedintheSEASTARcampaignhasbeendone.Afewtransitionshavebeenidentifiedineachofthemprovidingachancetostudythesystematicstructureevolutionofn-richMnisotopesnearN40.

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

  • 标签: Optical ACTIVITY 1 1′-Bi-2-naphthol POLYIMIDE
  • 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

  • 标签: 插值 逼近 三角多次式 整函数
  • 简介:Theregionaroundthedouble-closedshellnucleus208Pbhasbeenparticularlyusefulinstudyingresidualinteractions.ThelowspinisomersoftheisotopesintheN=127,Z=8387regionhavebeenidentifiedinlastfiftyyearsexcept213Rn[1??4].Inourrecentimplantation–r-acorrelationstudyoftheisotopesaroundtheN=126shellclosure,anewrayisobservedbetweentheimplantationsandthedecaysof213Rn,whichcouldbeduetothedepopulationoftheisomerof213Rnmentionedabove.

  • 标签: Implantation-r-a CORRELATION METHOD