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The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有:(1)证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性,给出了收敛指标的特征刻划,对不在奇性平面上的点,还证明了点态收敛性,这些成果同时推广了经典球面调和展开和雅可比展开的结果;(2)利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理,并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理;(3)利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析,证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性,特别是对小于1的一些指标p,建立了相应的哈代空间的基本理论。

By the expansion of a function in terms of spherical harmonics, solutions in form of separation about the asymmetry disturbance were studied. At last, by the theory of stability of differential equations, under the no limitation or less than 1 to the symmetry stationary radius, the asymmetry stability of stable and unstable conditions were obtained.

然后利用球调和函数展开,研究了有关扰动的偏微分方程的变量分离形式的解,最后根据微分方程稳定性定理,在肿瘤静止半径没有限制或肿瘤静止半径小于1的情况下,得到了非对称扰动的稳定和不稳定的条件。

And that would in turn seem to demand a top diplomat with supreme confidence and moral authority, not a little-known official who boasts of having spent his 35-odd years of public service being "basically a harmoniser".

这也就反过来要求其秘书长具有超凡的外交智慧、自信与道德感召力。一个以&调和者&身份从事了号称超过35年公共服务业的名气不响的官员恐怕是难以胜任的。

Christ's saving work is not a sacrifice to make satisfaction for divine justice, but a triumph over temptation and spiritual evil as the example, and reconciling power, of God by which all men can overcome evil.

基督的拯救工作,是不是牺牲,作出满意为神的公义,但战胜的诱惑和邪恶的精神作为榜样,调和的权力,上帝的,其中的所有男性可以克服邪恶。

The haunted Austin, Texas, band sounds lost in misery and whiskey, as Will Sheff brays,"It's just a life story/So there's no climax," with ragged Neil Young passion and a guitar solo to match.

鬼魅般的Texas的Austin市,乐队的演奏听起来像是在痛苦和威士忌中迷失了自己,正如Will Sheff所嘶喊的那样,&这只是平淡的故事/所以不会有任何高潮&,与Neil Young粗犷的激情像调和的是一段吉他solo。

The haunted Austin, Texas, band sounds lost in misery and whiskey, as Will Sheff brays,"It's just a life story/So there's no ***," with ragged Neil Young passion and a guitar solo to match.

鬼魅般的Texas的Austin市,乐队的演奏听起来像是在痛苦和威士忌中迷失了自己,正如Will Sheff所嘶喊的那样,&这只是平淡的故事/所以不会有任何高潮&,与Neil Young粗犷的激情像调和的是一段吉他solo。

Patterns of staining were consistent throughout tubular compartments and did not appear to be localized to any particular region.

在整个管形的间隔间不纯色的模式是调和的并且没在看来局部性到任何特别的区域。

This struggle represents not only the incongruities of all the inconsistency in the 1940s American society, but also Steinbeck's deep concern of the dissimilation of the humanity in the self-interested, immoral world and the human being's intrinsic strive for perfection.

这个斗争过程是伊坦·霍利生活的美国社会必不可少的各种矛盾的不调和性的外在表现,更是斯坦贝克本人关于社会发展对人性的异化和人性本身固有的完美性的深切关注。

14And a break in an English friendship comes not necessarily as a result of some irreconcilable differences of viewpoints or feelings but instead as a result of misjudgment, where one friend seriously misjudges how the other will think or feel or act, so that suddenly they are out of step.

英国人友谊的中断不一定是因为观点或者感情上产生了不可调和的分歧,而是由于相互误解的结果。当一方对另一方的想法、感情或者行为产生严重的误解时,他们就会突然失和。

God was in Christ and then that by this intervention He was reconciling the world to Himself...Although Christ's coming had its source in the overflowing love of God for us, yet, until men know that God has been propitiated by a mediator, there cannot but be on their side a separation which prevents them from having access to God... says again that a commission to offer this reconciliation to us has been given to ministers of the Gospel...He says that as He once suffered, so now every day He offers the fruit of His sufferings to us through the Gospel which He has given to the world as a sure and certain record of His completed work of reconciliation.

真主是在基督里,然后通过这种干预他是调和世界,以自己……虽然基督的未来有其源在充溢上帝的爱,为我们的,但是,直到男人知道上帝已经propitiated一调停人,是不可能的,但必须站在他们的一方分离妨碍了他们获得上帝……说,又一个委员会提供这项和解,我们已考虑到部长们的福音……他说,因为他一旦受到损害,所以现在他每天都提供了水果,他的痛苦,也使我们度过了福音,他给世界一个肯定,并在一定的记录,他完成工作的和解。

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推荐网络例句

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行,五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益,这将是我们的荣幸。

The report also shows that the proportion of unmarried men and women living together has doubled between 1986 and 2006, with 13 per cent of those aged 16 to 59 now cohabiting.

报告还指出,从1986年至2006年,英国未婚男女同居的比例增长了一倍,在16岁至59岁的人群中,有13%的人同居。