共查询到20条相似文献,搜索用时 250 毫秒
1.
In this paper, we establish a new composition theorem about Stepanov-like pseudo almost automorphic functions under the local Lipschitz condition. Using this composition theorem, we also study the existence and uniqueness of pseudo almost automorphic solutions for nonautonomous evolution equations. Our results extend many recent known ones on these topics. 相似文献
2.
本文系该著者有关自守型式的Langlands函子性的演讲稿的细述及扩充文稿.特别强调了与该著者的近期工作相关的课题. 相似文献
3.
Zhenbin Fan Jin Liang Ti-Jun Xiao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(8):2853-2861
We prove new composition theorems for Stepanov-like almost automorphic and Stepanov-like pseudo-almost automorphic functions. An application is given to a class of evolution equations with Stepanov-like pseudo-almost automorphic perturbations. 相似文献
4.
In this paper, we introduce a new concept of bi-almost automorphic functions and obtain new existence and uniqueness theorems for pseudo-almost automorphic mild solutions to several nonautonomous differential equations. Moreover, two examples are given to illustrate the general theorems. 相似文献
5.
In this paper we study and obtain the existence of an almost automorphic solution to a Beverton–Holt dynamic equation with a nonconstant survival rate under some reasonable assumptions. 相似文献
6.
7.
Ze-Li Dou 《Proceedings of the American Mathematical Society》2003,131(1):77-82
The subject of this paper is a quaternion algebra over a quadratic extension of a totally real algebraic number field. We generalize an important technical lemma of Shimura, on which a certain period of automorphic forms depends.
8.
We establish a density theorem on automorphic -functions and give some applications on the extreme values of these -functions at and the distribution of the Hecke eigenvalue of holomorphic cusp forms.
9.
Composition of pseudo almost automorphic and asymptotically almost automorphic functions 总被引:1,自引:0,他引:1
Jin Liang Jun Zhang Ti-Jun Xiao 《Journal of Mathematical Analysis and Applications》2008,340(2):1493-1499
This paper is concerned with pseudo almost automorphic functions, which are more general and complicated than pseudo almost periodic functions and asymptotically almost automorphic functions. New results, concerning the composition of pseudo almost automorphic functions, are established. 相似文献
10.
Of concern is a class of abstract semilinear integrodifferential equations with nonlocal initial conditions. Under some suitable hypotheses, we establish some new theorems about the existence of asymptotically almost automorphic solutions to the integrodifferential equations. Moreover, an example is given to illustrate our results. 相似文献
11.
Hossein Movasati 《Bulletin of the Brazilian Mathematical Society》2008,39(1):81-107
Around 1970 Griffiths introduced the moduli of polarized Hodge structures/ the period domain D and described a dream to enlarge D to a moduli space of degenerating polarized Hodge structures. Since in general D is not a Hermitian symmetric domain, he asked for the existence of a certain automorphic cohomology theory for D, generalizing the usual notion of automorphic forms on symmetric Hermitian domains. Since then there have been many efforts
in the first part of Griffith's dream but the second part still lives in darkness. The objective of the present text is two-folded.
First, we give an exposition of the subject. Second, we give another formulation of the Griffiths problem, based on the classical
Weierstrass uniformization theorem. 相似文献
12.
In this paper, we reveal several basic properties about nonlinear vector-valued weighted pseudo almost automorphic functions, including equivalence, completeness, translation invariance, composition theorem, and convolution theorem of these functions. We also give some concrete examples to illustrate our results. Finally, we obtain a new existence theorem of nonlinear weighted pseudo almost automorphic solutions for semilinear evolution equations in Banach spaces. 相似文献
13.
Wenzhi Luo 《Proceedings of the American Mathematical Society》2003,131(1):21-27
For the orthonormal basis of Hecke eigenforms in , one can associate with it a probability measure on the modular surface . We establish that this new measure tends weakly to the invariant measure on as tends to infinity, and obtain a sharp estimate for the rate of convergence.
14.
Almost automorphic is a particular case of the recurrent motion, which has been studied in differential equations for a long time. We introduce square-mean pseudo almost automorphic and some of its properties, and then study the pseudo almost automorphic solution in the distribution sense to stochastic differential equation driven by Lévy process. 相似文献
15.
This article is concerned with some properties of Stepanov-like almost automorphic (S p -a.a.) functions. We establish a composition theorem about S p -a.a. functions, and with its help, study the existence and uniqueness of almost automorphic solutions for semilinear evolution equations in Banach spaces. Moreover, integration and differentiation of S p -a.a. functions are discussed. Some theorems extend earlier results. 相似文献
16.
Zhao Xu 《数学学报(英文版)》2011,27(6):1149-1162
Let f denote a normalized Maass cusp form for SL(2, ℤ), which is an eigenfunction of all the Hecke operators T(n) as well as the reflection operator $
T_{ - 1} :z \to - \bar z
$
T_{ - 1} :z \to - \bar z
. We obtain a zero-density result of the L-function attached to f near σ = 1. This improves substantially the previous results in this direction. 相似文献
17.
半线性微分方程的概自守与伪概自守解 总被引:1,自引:0,他引:1
在Banach空间中,利用发展系统的算子半群理论和Banach压缩原理,在半线性微分方程x′(t)=A(t)x(t)+f(t,x(t))满足一定的条件下,证明了其概自守与伪概自守mild解的存在性与唯一性. 相似文献
18.
Let E be a Galois extension of ℚ of degree l, not necessarily solvable. In this paper we first prove that the L-function L(s, π) attached to an automorphic cuspidal representation π of cannot be factored nontrivially into a product of L-functions over E.
Next, we compare the n-level correlation of normalized nontrivial zeros of L(s, π1)…L(s, π
k
), where π
j
, j = 1,…, k, are automorphic cuspidal representations of , with that of L(s,π). We prove a necessary condition for L(s, π) having a factorization into a product of L-functions attached to automorphic cuspidal representations of specific , j = 1,…,k. In particular, if π is not invariant under the action of any nontrivial σ ∈ Gal
E/ℚ, then L(s, π) must equal a single L-function attached to a cuspidal representation of and π has an automorphic induction, provided L(s, π) can factored into a product of L-functions over ℚ. As E is not assumed to be solvable over ℚ, our results are beyond the scope of the current theory of base change and automorphic
induction.
Our results are unconditional when m,m
1,…,m
k
are small, but are under Hypothesis H and a bound toward the Ramanujan conjecture in other cases.
The first author was supported by the National Basic Research Program of China, the National Natural Science Foundation of
China (Grant No. 10531060), and Ministry of Education of China (Grant No. 305009). The second author was supported by the
National Security Agency (Grant No. H98230-06-1-0075). The United States Government is authorized to reproduce and distribute
reprints notwithstanding any copyright notation herein 相似文献
19.
In this paper, applying the theory of semigroups of operators to evolution family and Banach fixed point theorem, we prove the existence and uniqueness of an (a) almost automorphic (weighted pseudo almost automorphic) mild solution of the semilinear evolution equation x′(t)=A(t)x(t)+f(t,x(t)) in Banach space under conditions. 相似文献
20.
WANG Xueli 《中国科学A辑(英文版)》2000,43(7):734-742
We prove partially a conjecture of Knopp about the Eichler cohomology of automorphic forms on H-groups. 相似文献