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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。

At this point, however, we single out only Iris , a beautiful descendant of Pontus and Gaia.

然而,在这点上,我们单单挑出艾里斯,Pontus 和盖亚的一个美丽的后代。

A strong shutter over a ship's porthole that is closed in stormy weather .

遇到暴风雨天气就关上的、船的舷窗上的一种很坚固的窗盖。

The story of how Microsoft acquired the original system has inspired much folklore, which often portrays Gates pouncing on a trivial mistake by Digital Research and stealing that company's lead in microcomputer operating systems.

的故事,微软收购了原系统已经引起不少民间传说,往往描绘盖茨猛扑过来上,经数字研究琐碎的错误,并窃取了该公司的微机操作系统领先。

At last step of skincare and after BB cream application, apply this pact using the powder puff included and softly pat on the entire face evenly.

用於基础保养的最后一个步骤,涂上BB霜后使用。打开粉饼盖,沾取适量在脸上轻轻按压。

Solution is: First, open the printer cover, turn the ribbon arm interlocking schedule with the hammer handle to open, sending in the ribbon cartridge ribbon gently with the back end, and then close the ribbon to interlock arm and hammer row handle, open the power loom in the self-test will be installed after the ribbon ribbon cartridges back.

解决方法是:首先打开打印机盖,将色带转臂与锤排联锁手柄打开,在色带盒的送带端将色带轻轻拉回,然后合上色带转臂与锤排联锁手柄,打开电源,机子在自检后色带就会被装回色带盒。

Some of the episode participants include: Bill Gates (Chairman of Microsoft, the richest man in the world), Steve Jobs (Hippie co-founder of Apple Computer; CEO of NeXT Computer; and the man who wanted to change the world), and Steve Wozniak (Co-founder of Apple Computer; engineering genius, practical joker). Amazon.com

一些演员包括:比尔盖茨(微软总裁,世界上最有钱的人),Steve Jobs(苹果计算机嬉皮的联合创始人,NeXT计算机的首席执行官,是个要改变世界的人),Steve Wozniak(苹果计算机的联合创始人,工程学天才,是个爱开玩笑的人) Amazon.com

If a person is bleeding, we should cover the wound with a clean piece of cloth and press on the wound to stop the bleeding.

如果有人流血,我们应该用干净的布盖在伤口上并压在上面以止血。

The new theory unifies a series of the single nonlinear strength theories for various concrete materials, which includes the whole region between the upper-limit Mises circular and the lower-limit SMP curve on the π plane of principal stress space, and the strength curves on the meridian plane are the exponential functions.

该理论在主应力空间的π平面上含盖了从下限SMP曲线到上限Mises圆之间的所有区域,子午面上的破坏曲线为幂函数形式;共有四个材料参数,均具有明确的物理意义,并给出了参数的确定方法。

Bill Gates is the richest private citizen in the world.

比尔盖茨是世界上最富有的公民。

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推荐网络例句

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了,排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意,我建议我们在价格上大家各让一半。

After an hour and no pup, look for continued contractions and arching of the back with no pup as a sign of trouble.

一个小时后,并没有任何的PUP ,寻找继续收缩和拱的背面没有任何的PUP作为一个注册的麻烦。