共查询到20条相似文献,搜索用时 15 毫秒
1.
Dehbia Achab 《Mathematische Zeitschrift》1999,230(1):21-45
Résumé. Soit G un groupe linéaire réel simple hermitien, un sous-groupe arithmétique de covolume fini. Soit C un c?ne régulier Ad(G)-invariant dans l'algèbre de Lie de G, l'intérieur de C, et S(C)=Gexp(iC) le semi-groupe complexe d'Olshanski. L'espace de Hardy associéà ces données est l'espace des fonctions holomorphes sur , -invariantes à gauche telles qu'une certaine norme soit finie. C'est un espace de Hilbert, qui se plonge de manière isométrique
dans l'espace . On donne une décomposition de l'espace de Hardy en représentations unitaires irréductibles avec des multiplicités égales
à des dimensions d'espaces de formes automorphes. Les résultats les plus importants sont obtenus dans le cas de et , où l'on démontre que l'espace des vecteurs distributions des représentations de la série discrète, qui sont -invariants et qui vérifient une condition de carré intégrabilité, s'identifie à l'espace des formes modulaires paraboliques
correspondant, ce qui nous permet de décrire explicitement la décomposition de l'espace de Hardy cuspidal en représentations
irréductibles et d'en calculer le noyau reproduisant (appelé noyau de Cauchy-Szeg?) à l'aide des noyaux reproduisants des
espaces de cusp forms. L'espace de Hardy cuspidal s'identifie au “morceau holomorphe” du spectre cuspidal .
Received April 30, 1997; in final form September 18, 1997 相似文献
2.
Jianming Yu 《Mathematische Zeitschrift》1999,232(2):321-330
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Jean-Yves Le Dimet 《manuscripta mathematica》1998,96(4):507-515
Let Γ be a Lie group.Then any automorphism of the free group of rank n induces a diffeomorphism of Γ
n
. We use this remark and a result of P. Vogel to construct linear representations of a certain automorphism group of the
algebraic closure of the free group. This automorphism group is closely related to the string link cobordism group.
Received: 相似文献
9.
Huiling Le 《Probability Theory and Related Fields》1999,114(1):85-96
Suppose that M is a complete, simply connected Riemannian manifold of non-positive sectional curvature with dimension m≥ 3 and that, outside a fixed compact set, the sectional curvatures are bounded above by −c
1/{r
2 ln r} and below by −c
2
r
2, where c
1 and c
2 are two positive constants and r is the geodesic distance from a fixed point. We show that, when κ≥ 1 satisfies certain conditions, the angular part of a
κ-quasi-conformal Γ-martingale on M tends to a limit as time tends to infinity and the closure of the support of the distribution of this limit is the entire
sphere at infinity. This improves both a result of Le for Brownian motion and also results concerning the non-existence of
κ-quasi-conformal harmonic maps from certain types of Riemannian manifolds into M.
Received: 19 September 1997 相似文献
10.
Jean-Luc Guermond 《Numerische Mathematik》1994,67(4):465-473
Summary. L'objet de cet article
est de montrer que les estimations de
convergence sur la pression pour les m\'ethodes de
projection d\'ecrites
dans \cite{Shen1} et \cite{Shen2} ne sont pas obtenues correctement
car elles sont toutes bas\'ees sur une in\'egalit\'e fausse.
Il semble qu'on ait besoin d'une convergence en
de la vitesse
dans pour d\'emontrer les estimations
de convergence sur la pression en .
La question de savoir si la m\'ethode de projection a un taux
de convergence pour la pression plus \'elev\'e que
reste ouverte.
Received June 1, 1993 相似文献
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Jamel Abidi 《manuscripta mathematica》1999,99(4):465-470
In this paper, we prove sufficient conditions of extension for plurisubharmonic functions, using potential theory methods.
Received: 7 November 1997 / Revised version: 15 July 1998 相似文献
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Let be a germ of real analytic function (n≥ 1). We suppose that the complexified germ has an almost isolated singularity at 0 for an eigenvalue of the monodromy . Denote by A a linear combination of the connected components of . The purpose of this paper is to give a necessary and sufficient condition such that the distribution admits a sequence of poles in .
Received: 18 July 1996 / Revised version: 13 May 1998 相似文献
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Dan Coman 《Mathematische Zeitschrift》2000,235(1):111-122
We consider (pluricomplex) Green functions defined on , with logarithmic poles in a finite set and with logarithmic growth at infinity. For certain sets, we describe all the corresponding
Green functions. The set of these functions is large and it carries a certain algebraic structure. We also show that for some
sets no such Green functions exist. Our results indicate the fact that the set of poles should have certain algebro-geometric
properties in order for these Green functions to exist.
Received November 24, 1998; in final form April 19, 1999 / Published online July 3, 2000 相似文献
16.
N. Otsubo 《manuscripta mathematica》2000,101(1):115-124
Conjecures of Beilinson and Bloch–Kato describe the order of zeros of L-functions of motives in terms of motivic cohomology groups and Selmer groups. We restrict our attention to the parts generated
by the cycle classes, and give modest evidence for the conjectures.
Received: 7 June 1999 / Revised version: 7 September 1999 相似文献
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Andrea Iannuzzi 《manuscripta mathematica》1999,98(4):425-445
Let G be a real connected Lie group for which the universal complexification G
ℂ has a polar decomposition G
ℂ≅G exp(i?), where ? denotes the Lie algebra of G. The present paper is concerned with Riemann G-domains over the complex group G
ℂ viewed as a G-manifold via the left multiplication. Such a Riemann domain X is said to be of Reinhardt type if G contains a discrete cocompact subgroup $\Gamma$ for whichG/Γ is a Stein manifold. Here the following is proved: Every Riemann G-domain of Reinhardt type is schlicht, hence a G-tube domain, i.e., a G-invariant subdomain of G
ℂ. As an application one obtains conditions for a holomorphically separable G-manifold to be a G-tube domain.
Received: 22 October 1998 相似文献
20.
Summary. In [3] a duality numerical algorithm for solving variational inequalities based on certain properties of the Yosida approximation
of maximal monotone operators has been introduced. The performance of this algorithm strongly depends on the choice of two
constant parameters. In this paper, we consider a new class of algorithms where these constant parameters are replaced by
functions. We show that convergence properties are preserved and look for optimal values of these two functions. In general
these optimal values cannot be computed, as they depend on the exact solution. Therefore, we propose some strategies in order
to approximate them. The resulting algorithms are applied to three variational inequalities in order to compare their performance
with that of the original algorithm.
Received July 20, 1998 / Revised version received November 26, 1999 / Published online February 5, 2001 相似文献