简介：InthispaperweconsidertheapproximationforfunctionsinsomesubspacesofL~2bysphericalmeansoftheirFourierintegralsandFourierseriesonsetoffullmeasure.Twomaintheoremsareobtained.

简介：空间D_G被构造，空间D_G的一些描述被给。古典Fourier被扩大到广义函数空间D′_G，这被显示出，它能连续地被嵌进Schwartz广义函数空间D′。它也被看那D′_Gis上的D′的最大的嵌入的潜水艇空间扩大Fourier，G，是D′_G的同胚到自己上。

简介：我们显示出那，在T在有值τ的Rn给变换是其Fourier的tempered分发T多项式生长和点x的一个函数(在意义?ojasiewicz)，在x的T的Fourier积分是在到τ的Bochner-Riesz工具的summable。

简介：在由Brackx的最近的报纸，Delanghe；Sommen，一些基本更高维的分布在克利福德分析的框架被重新考虑，最后在欧几里德几何学的空格导致新分布的四个宽广的类的介绍。在当前的纸，我们继续这些分布的深入的学习，更明确地他们在频率空间的行为的学习，泛音分析的因此延长的古典结果。

简介：TheorderofmagnitudeofmultipleFouriercoefficientsofcomplexvaluedfunctionsofgeneralizedboundedvariationslike(Λ1,,ΛN)BV(p)andr-BV,over[0,2π]N,areestimated.

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简介：本文利用P．S．Bullen和S．N.Mukaopadhyay在[1]中建立了SCP-积分的分部积分公式给出了SCP-Fourier级数的概念，并讨论了SCP-Fourier级数的系数问题．

简介：ThepurposeofthispaperistostudythepointwiseandalmosteverywhereconvergenceoftheCesaromeans(C,δ)ofFourier-Jacobiexpansions,themaintermoftheLebesgueconstantofthe(C,8)meansfor-1<δ≤α+1/2isobtained.WiththeaidofthegeneralizedtranslationintermsofJacobipolynomials,pointwiseconvergencetheoremsofthe(C,δ)meansforδ>α+1/2andequiconvergencetheoremsfor-1<δ≤α+1/2areproved.TheanaloguesoftheLebesgue,SalemandYoungtheoremsoftheCesaromeansatthecriticalindexδ=α+1/2areestablished.

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简介：一个一般summability方法，所谓的胃-summability为多维的Fourier变换被考虑。在胃上的一些条件下面，工具在一个锥定义的胃-的最大的操作符从汞齐哈迪空格W被围住，这被证明(hp，吗？鈭？到W(Lp，？鈭?。这暗示几乎到处，胃-的集中为所有f鈭?W在一个锥意味着(L1，吗？鈭？?L1。关键词维纳汞齐空格-本地强壮的空格-Fourier的胃-summability转变-原子分解先生(2000)题目分类42B08-46E30-42B30-42A38由匈牙利科学研究资金(OTKA)支持了没有。K67642

简介：Inthispapertheconceptofpositivedefinitebilinearmatrixmomentfunctional.actingonthespaceofallthematrixvaluedcontinuousfunctionsdefinedonaboundedinterval[a,b],isintroduced.ThebestapproximationmatrixproblemwithrespecttosuchafunctionalissolvedintermsofmatrixFourierseries.BasicpropertiesofmatrixFourierseriessuchastheKiemann-Lebesguematrixpropertyandthebessel-parsevalmatrixinequalityareproved.Theconceptoftotalsetvjithrespecttoapositivedefinitematrixfunctionalisintroduced,andthetotallityofanorthonormalsequenceofmatrixpolynomialswithrespecttothefunctional,isestablished.

简介：Thispaperaddressesanonstationaryflowofheat-conductiveincompressibleNewtonianfluidwithtemperature-dependentviscositycoupledwithlinearheattransferwithadvectionandaviscousheatsourceterm,underNavier/Dirichletboundaryconditions.Thepartialregularityforthevelocityofthefluidisprovedforeachproperweaksolution,thatis,forsuchweaksolutionswhichsatisfysomelocalenergyestimatesinasimilarwaytothesuitableweaksolutionsoftheNavier-Stokessystem.Finally,westudythenatureofthesetofpointsinspaceandtimeuponwhichproperweaksolutionscouldbesingular.

简介：Inthispaper,ageneralalgorithmforthecomputationoftheFouriercoefficientsof2π-periodic(continuous)functionsisdevelopedbasedonDirichletcharacters,GausssumsandthegeneralizedM¨obiustransform.ItpermitsthedirectextractionoftheFouriercosineandsinecoefficients.Threespecialcasesofouralgorithmarepresented.AVLSIarchitectureispresentedandtheerrorestimatesaregiven.

简介：ThispaperintroducesaunifiedoperatortheoryapproachtotheabstractFourieranalysisoverhomogeneousspacesofcompactgroups.LetGbeacompactgroupandHbeaclosedsubgroupofG.LetG/HbetheleftcosetspaceofHinGandμbethenormalizedG-invariantmeasureonG/HassociatedtotheWeil'sformula.Then,wepresentageneralizedabstractframeworkofFourieranalysisfortheHilbertfunctionspaceL~2(G/H,μ).

简介：IfdμistheFouriertransformofasmoothmeasure,dμonthehypersphereSn-1(n≥2)thethereexistsaconstantCdependentonlyonnsuchthat|dμ(y)|≤C(1+|y|)-(n-1)/2forally∈Rn.Inthispaper,weshowthattheabovestatementisfalsefornon-smoothmeasures.AndwepresentthecorrespondingestimationsfartheFouriertransformsofcertainnon-smoothmeasuresonSn-1.

简介：LetMbead×dexpansivematrix,andFL2(Ω)beareducingsubspaceofL2(Rd).ThispapercharacterizesboundedmeasurablesetsinRdwhicharethesupportsofFouriertransformsofM-refinableframefunctions.Asapplications,wederivethecharacterizationofboundedmeasurablesetsasthesupportsofFouriertransformsofFMRA(W-typeFMRA)framescalingfunctionsandMRA(W-typeMRA)scalingfunctionsforFL2(Ω),respectively.Someexamplesarealsoprovided.

简介：LetEbeacompacts-setsofR^n,TheauthorsdefineanorthonormalsystemФoffunctionsonEandobtainthat,foranyf(x)∈L^l(E1H^8),theFourierseriesoff1withrespecttoФ,isequaltof(x)atH^8-a.e-x∈E.Moreover,foranyf∈L^p(E,H^8)(p≥1),thepartialsumsoftheFourierseries,withrespecttoФ,offconvergestofinL^P-norm.

简介：TwoestimatesusefulinapplicationsareprovedfortheFouriertransforminthespaceL2(X),whereXasymmetricspace,asappliedtosomeclassesoffunctionscharacterizedbyageneralizedmodulusofcontinuity.

简介：本文得到几个关于多变量Hp空间中函数Fourier系数的不等式.与单变量相应情形相比,我们的证明方法有较大的变化.

简介：Theconceptofconvextypefunctionisintroducedinthispaper,fromwhichakindofconvex-decompositionapproachisproposed.Asoneofapplicationsofthisapproach,theapproximationoftheconvextypefunctionbythepartialsumofitsFourierseriesisinvestigated.Moreover,theorderofapproximationisdescribedwiththe2thcontinuousmodulus.