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71.
Roberto Camporesi 《Journal of Functional Analysis》2005,220(1):97-117
The Helgason Fourier transform on noncompact Riemannian symmetric spaces G/K is generalized to the homogeneous vector bundles over the compact dual spaces U/K. The scalar theory on U/K was considered by Sherman (the local theory for U/K of arbitrary rank, and the global theory for U/K of rank one). In this paper we extend the local theory of Sherman to arbitrary homogeneous vector bundles on U/K. For U/K of rank one we also obtain a generalization of the Cartan-Helgason theorem valid for any K-type. 相似文献
72.
Zizhou Tang 《Differential Geometry and its Applications》2007,25(5):461-465
This note provides a complete answer to a problem of Ding-Fan-Li on the homotopy classes of harmonic Hopf constructions. Moreover, it gives applications to isoparametric gradient maps. 相似文献
73.
Criel Merino López 《Annals of Combinatorics》1997,1(1):253-259
It is shown that the generating function of critical configurations of a version of a chip firing game on a graphG is an evaluation of the Tutte polynomial ofG, thus proving a conjecture of Biggs [3].
Supported by a grant from D.G.A.P.A. 相似文献
74.
We first give some new examples of translation invariant subspaces of C or U without local unconditional structure. In the second part, we prove that U and U
+ do not have the Gordon–Lewis property. In the third part, we show that absolutely summing operators from U to a K-convex space are compact. As a consequence, U and U
+ are not isomorphic. At last, we prove that U and U
+ do not have the Daugavet property. 相似文献
75.
The Fourier transform for Schwartz spaces on Chébli-Trimèche hypergroups is studied, leading to results on approximation to the identity for functions and distributions on the half-line. In particular it is shown that the heat and Poisson kernels on the half-line form approximate units in various function spaces. A characterization of the convolution of a tempered distribution and a Schwartz function is also given. 相似文献
76.
77.
Anthony To-Ming Lau Hiromichi Miyake Wataru Takahashi 《Nonlinear Analysis: Theory, Methods & Applications》2007
The purpose of this paper is to study iterative schemes of Browder and Halpern types for a semigroup of nonexpansive mappings on a compact convex subset of a smooth (and strictly convex) Banach space with respect to a sequence of strongly asymptotic invariant means defined on an appropriate space of bounded real valued functions of the semigroup. Various applications to the additive semigroup of nonnegative real numbers and commuting pairs of nonexpansive mappings are also presented. 相似文献
78.
79.
Annette A’Campo–Neuen 《Archiv der Mathematik》2006,87(3):217-226
We prove tight lower bounds for the coefficients of the toric h-vector of an arbitrary centrally symmetric polytope generalizing previous results due to R. Stanley and the author using
toric varieties. Our proof here is based on the theory of combinatorial intersection cohomology for normal fans of polytopes
developed by G. Barthel, J.-P. Brasselet, K. Fieseler and L. Kaup, and independently by P. Bressler and V. Lunts. This theory
is also valid for nonrational polytopes when there is no standard correspondence with toric varieties. In this way we can
establish our bounds for centrally symmetric polytopes even without requiring them to be rational.
Received: 24 March 2004 相似文献
80.
Giovanni Ranieri 《Archiv der Mathematik》2002,79(6):472-478
In 1980, J. Esterle proved the Wiener theorem forL
1 (—) by a completely new method using analytic semigroup techniques. We show here how to extend the method in two different
ways. First, it is shown that spectral synthesis for points on the real line is also provided by analytic semigroup techniques.
Second, Esterle's proof may also be adapted to provide Wiener theorem for some elementary hypergroups.
Eine überarbeitete Fassung ging am 24. 4. 2001 ein 相似文献