简介:让f(z)是为完整的模块化的组的重量k的holomorphicHeckeeigencuspform。让f(n)是f(z)的第n个规范的Fourier系数。建议那L(sym2f,s)对称的方形的L功能与f(z)被联系,并且$\lambda_{sym^2f}(n)$(n)表示第n系数L(sym2f,s)。在这份报纸,它被证明那$$\sum\limits_{n\leqslantx}{\lambda_{sym^2f}^4(n)}=xP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon}),$$,在P2(t)是在度2的t的一个多项式的地方。同样,它被获得那$$\sum\limits_{n\leqslantx}{\lambda_f^4(n^2)}=x\tildeP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon}),$$,在哪儿$\tildeP_2(t)$是在度2的t的一个多项式。
简介:LetAbead×drealexpansivematrix.AnA-dilationParsevalframewaveletisafunctionψ∈L2(Rd),suchthattheset{|detA|n/2ψ(Ant-l):n∈Z,l∈Zd}formsaParsevalframeforL2(R~d).AmeasurablefunctionfiscalledanA-dilationParsevalframewaveletmultiplieriftheinverseFouriertransformoff■isanA-dilationParsevalframewaveletwheneverψisanA-dilationParsevalframewavelet,where■denotestheFouriertransformofψ.Inthispaper,theauthorscompletelycharacterizeallA-dilationParsevalframewaveletmultipliersforanyintegralexpansivematrixAwith|det(A)|=2.Asanapplication,thepath-connectivityofthesetofallA-dilationParsevalframewaveletswithaframeMRAinL2(Rd)isdiscussed.
简介:Inthisarticle,weshowthatifXisanexcellentsurfacewithrationalsingularities,theconstantsheafQeisadualizingcomplex.IncoefficientZe,wealsoprovethattheobstructionforZetobecomeadualizingcomplex,liesonthedivisorclassgroupsatsingularpoints.Asapplications,westudytheperversesheavesandtheweightsof-adiccohomologygroupsonsuchsurfaces.
简介:309Lisakindofausteniticstainlesssteel.Thispaperdiscusses309L,whichwassmeltedandrolledinalab.Itsmicrostructuralcharacteristicsinstatesofas-cast,hot-rolling,cold-rollingandsolidsolutionwereinvestigatedrespectivelybyopticalmicroscope(OM).Itisfoundthat309Liscomposedofausteniteandresidualδ-ferriteundertheseconditions,andtheδ-ferritecannotbeeliminatedeasilybyheat-treatment.Itshotplasticityanddeformationresistancewereinvestigatedinaseriesofheatsim...
简介:Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.
简介:目的:探讨仙茅对体外培养肝细胞代谢功能的影响。方法:应用仙茅水提物大(400μg生药/m1)、中(200μg生药/m1)、小剂量(1001a,g生药/m1)作用于体外培养的正常人肝细胞株L02细胞,收集细胞培养液,应用氧化酶终点法检测葡萄糖(GLU);终点法检测甘油三酯(TG)、总胆固醇(TC);双缩脲终点法检测总蛋白(TP);氧化酶法检测乳酸(LAC);酶标比色法测乳酸脱氯酶(LDH)。结果:仙茅水提物大(400μg生药/rIll)、中剂(200μg生药/m1)时可使L02细胞培养液中GLU、TP、LDH含量增加,TG、LAc含量降低,与空白组比较有显著差异。结论:仙茅可提高L02细胞糖、脂、蛋白的代谢及能量代谢。