Discrete associated kernels method and extensions
نویسندگان
چکیده
منابع مشابه
Correction and Addition to SzegiJ Kernels Associated with Discrete Series
David Vogan has pointed out that Lemma 5.3 is incorrect, even for matrix groups, and therefore some changes are needed in the statements of the main theorems. The changes in question are not decisive, but we feel that the accurately stated versions of the theorems should be in the literature. Actually, when changes are needed, the new results yield more Szegi5 mappings than were originally pred...
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Introduction Let G be a simply connected and connected semisimple group over an algebraically closed field k of characteristic p > 0. T ⊂ G is a maximal torus and R is the root system relative to T . X(T ) is the weight lattice. Let B ⊃ T be a Borel subgroup corresponding to the negative roots R− = R. Denote by Gr the r-th Frobenius kernel of G. The socle and radical structures of the cohomolog...
متن کاملCharacter Kernels of Discrete Groups1
Let G be an arbitrary discrete group and let T = C[G] be its group algebra over the complex numbers C. If 9? is an irreducible representation of the algebra then 9i(r)=P is primitive and hence isomorphic to a dense set of linear transformations over D, the commuting ring of 9J [4, p. 28]. Let L be the center of D. If dimr, P < °o then we say that 9? is finite and since P is central simple over ...
متن کاملConvolution Kernels on Discrete Structures
We introduce a new method of constructing kernels on sets whose elements are discrete structures like strings, trees and graphs. The method can be applied iteratively to build a kernel on a innnite set from kernels involving generators of the set. The family of kernels generated generalizes the family of radial basis kernels. It can also be used to deene kernels in the form of joint Gibbs proba...
متن کاملDiscrete Convexity for Multiflows and 0-extensions
This paper addresses an approach to extend the submodularity and L-convexity concepts to more general structures than integer lattices. The main motivations are to give a solution of the tractability classification in the minimum 0-extension problem and to give a discrete-convex-analysis view to combinatorial multiflow dualities.
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ژورنال
عنوان ژورنال: Statistical Methodology
سال: 2011
ISSN: 1572-3127
DOI: 10.1016/j.stamet.2011.07.002