As a consequence, we make a conclusion that the dual Toeplitz operator is normal if and only if the range of the symbol lies on a line.

在此基礎(chǔ)上研究了對偶Toeplitz算子的正規(guī)性伊人久久av一区二区三区，得到了對偶Toeplitz算子是正規(guī)算子的充分必要條件国产迷晕漂亮大学生久久999。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具體地日韩美女A级毛男，本文的結(jié)構(gòu)如下：第一章給出了問題產(chǎn)生的背景18岁以下不能看的网站，研究現(xiàn)狀及本文的主要工作；第二章研究了在邊界上逗留后隨機(jī)跳的布朗運(yùn)動一级av中文字幕αV一级，我(來源：3dABC論文網(wǎng)www.abclunwen.com)們用預(yù)解算子的方法得到其無窮小生成元精精国产XXXX视频在线直播1，因?yàn)闊o窮小生成元的定義域本質(zhì)上就是預(yù)解算子的值域狼友视频在线观，知道這個值域和微分算子形式就能唯一地決定無窮小生成元；由于DHJ過程產(chǎn)生的半群不是強(qiáng)連續(xù)的欧美一级片在线视频网站，為利用強(qiáng)連續(xù)半群的一些漂亮性質(zhì)视频一区国内自拍，在第三章中我們證明其對偶半群是強(qiáng)連續(xù)的，然后由譜半徑公式得到遍歷性并且最后由對偶得到遍歷定理爱搞,为爱搞点激情；第四章討論了Feller在1954年引入的更廣的一類過程----一維Feller擴(kuò)散過程国产合集久久，F(xiàn)eller擴(kuò)散過程允許有從邊界到邊界的跳發(fā)生，即不僅僅局限于從邊界到內(nèi)部的跳夜色福利免费网页在线视频，在這一章中日韩久久网，我們給出了一維Feller擴(kuò)散過程的平穩(wěn)分布；在第五章人妻社区论坛，我們討論了一些相關(guān)的問題欧美性首页，給出了DHJ過程對應(yīng)的PDE問題及特征值與收斂速度的關(guān)系。

Based on the improved Bajsanski-Bojanic parabolic method and the related properties of integral operators, a global saturation theorem for the mixed exponential type integral operatorLnis established.

研究了該類混合指數(shù)型積分算子的性質(zhì)H动漫无码网站免费看网址免费A片，利用改進(jìn)的Bajsanski-Bojanic拋物線技巧及積分算子的有關(guān)性質(zhì)久久中文字幕人妻丝袜，建立了一類混合指數(shù)型積分算子的整體飽和定理。

So, the saturation results of some operators including Baskakov operator can be obtained easily, hence laying a basis for studying the approximation transformation theoremof the mixed exponential type integral operators, and presenting a new method for studying the saturation problems.

這樣国产精品口爆一区二区，包含Baskakov型在內(nèi)的相關(guān)積分算子的飽和結(jié)果便可以很容易得到好看的欧美一级A片，為研究混合指數(shù)型積分算子的逼近轉(zhuǎn)化定理奠定了基礎(chǔ)天堂网在线视频精品，也為研究算子的飽和問題提供了新的方法欧美变态另类熟妇第一区。

We studied the different kinds of the edge extractor and the criteria of how to evaluate the performance of different method.

一方面分析了不同類別的邊緣提取算子的優(yōu)缺點(diǎn)、評價邊緣提取算子性能的準(zhǔn)則97超碰刺激国产受不了，并對不同的算子進(jìn)行了比較研究www.日日干.com，給出了實(shí)驗(yàn)結(jié)果。

The author investigates simultaneous approximation by Gama operators and the rate of pointwise convergence by new Gamma type operators.

本論文討論了Gamma算子的同時逼近亚洲成色在线综合网站2018站，Gamma算子線性組合同時逼近的等價定理以及新的Gamma型算子的逼近速度百度搜(人人肉人人摸人人操)。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

進(jìn)一步本文還通過特征函數(shù)的組合關(guān)系所滿足的Riccati方程，得到了該等譜方程族的無窮多個守恒律亚洲一级黄色网站在线观看；為簡便起見91精品免费视频福利，本文以廣義TD族為例，由它的2×2 Lenard算子對的性質(zhì)證明了此算子對為Hamilton算子對日逼,一级黄色A级片,APP在看的，這說明廣義TD族是廣義Hamilton系統(tǒng)且具有Bi-Hamilton結(jié)構(gòu)和Multi-Hamilton結(jié)構(gòu)777色；進(jìn)而利用它的依賴于譜參數(shù)的一般守恒密度的積分在約束條件下求泛函導(dǎo)數(shù)的方法，得到了廣義TD族的Hamilton函數(shù)與守恒密度之間的對應(yīng)關(guān)系91人人操人人爱，這些性質(zhì)對于由本文提出的2×2譜問題所導(dǎo)出的等譜孤子族仍成立人成视频在线免费观看观看；另外此譜問題與AKNS系統(tǒng)存在著規(guī)范變換，位勢之間有廣義Miura變換精品一精品一极毛片，而孤子方程之間也滿足一定的等價關(guān)系狼友网站在线观看入口。

The infimum and supremum of operators, and generalized inverse of operators are heated topics in operator theory and also have important value in both theory and application.

算子的確界性質(zhì)和廣義逆是近年來算子理論中比較活躍的一些研究課題精品一区视频，在算子理論的研究中有著重要的理論價值和應(yīng)用價值。

Opeator theory is one of the most important fields in functional analysis. In recentyears, Generalized Inverse and Effect Algebra have been live topics in operator theory.

算子論是泛函分析中一個極其重要的研究領(lǐng)域国产黄色试看视频，算子的廣義逆及效應(yīng)代數(shù)是近年來算子論中比較活躍的研究課題性三级视频久久。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定義了三角和區(qū)間直覺模糊集的一些運(yùn)算法則，給出了直覺模糊集兩個改進(jìn)算子99九九久久综合伊人不卡，即三角模糊數(shù)加權(quán)算術(shù)平均算子和區(qū)間直覺模糊數(shù)加權(quán)幾何平均算子8050午夜一级无码。