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21.
本文首先给出了Riemann引理及其三种证法;然后通过直接方法、变量替换方法和多项式逼近的方法分别进行了证明.最后给出了Riemann引理的推广及其证明。 相似文献
22.
In this article we first study an equivariant cyclic cohomology for weak H-module agebras over a weak Hopf algebra H with a bijective antipode. Then we define an equivariant K-theory for weak quantum Yetter–Drinfeld algebras over H and establish a generalized Connes' pairing between the equivariant cyclic cohomology and the equivariant K-theory. As an application we consider our theory for groupoids. 相似文献
23.
24.
25.
Shuhei Hayashi 《Bulletin of the Brazilian Mathematical Society》2000,31(3):337-350
Mañé suggested the following question: Consider aC r flow on a compact manifold without boundary and suppose that the ω-limit set of a pointp intersets the α-limit set ofq, i.e. ω(p)∩α(q)≠Ø. Can the flow beC r-perturbed so that either (a)p is connected toq (p andq in the same orbit) or (b) ω(p)∩α(q)=Ø for the new flow? Here we solve positively a stronger version of this problem forC 1 small perturbations of the original flow. 相似文献
26.
In this paper, we investigate the Schr\"{o}dinger equation, which satisfies that the potential is asymptotical 0 at infinity in some measure-theoretic and the nonlinearity is sublinear growth. By using variant symmetric mountain lemma, we obtain infinitely many solutions for the problem. Moreover, if the nonlinearity is locally sublinear defined for $|u|$ small, we can also get the same result. In which, we show that these solutions tend to zero in $L^{\infty}(\mathbb{R}^{N})$ by the Br\"{e}zis-Kato estimate. 相似文献
27.
《Mathematische Nachrichten》2018,291(11-12):1757-1768
We consider the class of all sense‐preserving harmonic mappings of the unit disk , where h and g are analytic with , and determine the Bohr radius if any one of the following conditions holds:
- 1. h is bounded in .
- 2. h satisfies the condition in with .
- 3. both h and g are bounded in .
- 4. h is bounded and .
28.
The perturbation of the generator of a Borel right process by a signed measure is investigated, using probabilistic and analytic
potential theoretical methods. We establish a Feynman-Kac formula associated with measures charging no polar set and belonging
to an extended Kato class. A main tool of this approach is the validity of a Khas’minskii Lemma for Stieltjes exponentials
of positive left continuous additive functionals.
相似文献
29.
Balasubramanian Sury 《Rendiconti del Circolo Matematico di Palermo》2009,58(1):99-108
We apply group actions to some natural situations like the natural ‘linear’ action of GL
r
(Z
n
) and some of its subgroups to derive number-theoretic identities like
.
相似文献
30.
Philip A. Ernst Wilfrid S. Kendall Gareth O. Roberts Jeffrey S. Rosenthal 《Stochastic Processes and their Applications》2019,129(2):355-380
Classical coupling constructions arrange for copies of the same Markov process started at two different initial states to become equal as soon as possible. In this paper, we consider an alternative coupling framework in which one seeks to arrange for two different Markov (or other stochastic) processes to remain equal for as long as possible, when started in the same state. We refer to this “un-coupling” or “maximal agreement” construction as MEXIT, standing for “maximal exit”. After highlighting the importance of un-coupling arguments in a few key statistical and probabilistic settings, we develop an explicit MEXIT construction for stochastic processes in discrete time with countable state-space. This construction is generalized to random processes on general state-space running in continuous time, and then exemplified by discussion of MEXIT for Brownian motions with two different constant drifts. 相似文献