共查询到20条相似文献,搜索用时 15 毫秒
1.
We discuss the genericity of some multiplicity results for periodically perturbed autonomous first- and second-order ODEs
on manifolds.?In particular, the genericity of the following property is investigated: if the differentiable manifold M is compact, then the equation
π=h(x,)+f(t,x,) on M has |χ(M)| geometrically distinct T-periodic solutions for any small enough T-periodic perturbing function f.
Received: January 24, 2000; in final form: January 16, 2001?Published online: March 19, 2002 相似文献
2.
3.
We revisit a classical result of Howe and Piatetski-Shapiro on the failure of strong multiplicity one for GSp(4). 相似文献
4.
通过计算相关矩阵的秩,求出了U(3,Z_p),U(4,Z_p)及U(5,Z_p)的共轭类. 相似文献
5.
6.
C.S. Rajan 《Journal of Number Theory》2003,102(1):183-190
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let π be a unitary, cuspidal, automorphic representation of . Let S be a set of finite places of K, such that the sum is convergent. Then π is uniquely determined by the collection of the local components finite} of π. Combining this theorem with base change, it is possible to consider sets S of positive density, having appropriate splitting behavior with respect to a solvable extension L of K, and where π is determined up to twisting by a character of the Galois group of L over K. 相似文献
7.
8.
9.
Sébastien Ferenczi Jan Kwiatkowski Christian Mauduit 《Journal d'Analyse Mathématique》1995,65(1):45-75
For measure-preserving dynamical systems, we investigate the possible values of the pair (m, r), wherer is the maximal number of Rokhlin towers approximating the system andm is the maximal number of cyclic spaces approximating the associated unitary operator. We prove that in this way we can get
every pair (d, n) for everyn≥3, and every divisord of some arithmetic function ψ(n) related to the Euler function. We show that for fixedn, the set of possibled is of density one. 相似文献
10.
Over a non-archimedean local field of characteristic zero, we prove multiplicity preservation of local theta correspondences
for orthogonal-symplectic dual pairs. The same proof works for dual pairs of unitary groups. 相似文献
11.
12.
David Soudry 《Israel Journal of Mathematics》1987,58(3):257-287
Consider the θ-correspondence from GSp(4) to GSO(6). We prove that locally over a nonarchimedean fieldF, this correspondence is injective on generic representations (i.e. with Whittaker model) of GSp(4,F). We use this to show the strong multiplicity one property for irreducible, automorphic, cuspidal representations of GSp(4,A), which are generic. 相似文献
13.
Alexandru Ioan Badulescu 《Inventiones Mathematicae》2008,172(2):383-438
In this paper we generalize the local Jacquet-Langlands correspondence to all unitary irreducible representations. We prove
the global Jacquet-Langlands correspondence in characteristic zero. As consequences we obtain the multiplicity one and strong
multiplicity one Theorems for inner forms of GL(n) as well as a classification of the residual spectrum and automorphic representations in analogy with results proved by Mœglin–Waldspurger
and Jacquet–Shalika for GL(n). 相似文献
14.
Mathematische Zeitschrift - Mazur’s fundamental work on the Eisenstein ideal of prime level has a variety of arithmetic applications. In this article, we generalize some of his work to... 相似文献
15.
16.
Given an irreducible module for the affine Hecke algebraH
n
of type A, we consider its restriction toH
n–1. We prove that the socle of restriction is multiplicity free and moreover that the summands lie in distinct blocks. This is true regardless of the characteristic of the field or of the order of the parameterq in the definition ofH
n
. The result generalizes and implies the classical branching rules that describe the restriction of an irreducible representation of the symmetric groupS
n
toS
n–1.Both authors would like to thank Gus Lehrer and the University of Sydney for their hospitality while this paper was edited into its final form. 相似文献
17.
James A. Green 《Algebras and Representation Theory》1999,2(1):61-82
The discrete series characters of the finite general linear group GL(n, q) are expressed as uniquely defined integral linear combinations of characters induced from linear characters on certain subgroups Hd, n of GL(n, q). The coefficients in these linear combinations are determined (for all n, q) by a family of polynomials r(T) Z[T] indexed by the set of all partitions . 相似文献
18.
Andrea Gambioli 《Annals of Global Analysis and Geometry》2008,34(1):77-100
In this article, we classify 7- and 8-dimensional manifolds M admitting an SU(3) action of cohomogeneity one such that (i) M is simply connected and the orbit space M/G is isomorphic to [0, 1], and (ii) \({M/G\cong S^{1}}\) and the principal orbits are simply connected. We discuss applications to the study of the group manifold SU(3) and to 8-dimensional quaternion-Kähler spaces, and links between dimension 7 and 8 given by circle actions. 相似文献
19.