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Spherical functions on symmetric cones
In this note, we obtain a recursive formula for the spherical functions associated with the symmetric cone of a formally real Jordan algebra. We use this formula as an inspiration for a similarExpand
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The heat equation on the spaces of positive definite matrices
The main topic of this paper is the study of the fundamental solution of the heat equation for the symmetric spaces of positive definite matrices, Pos(n,R). Our first step is to develop a «False AbelExpand
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Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces
We study the absolute continuity of the measures δeX1♮⋆⋯⋆δeXm♮ and of (δeX♮)⋆l on the Riemannian symmetric spaces X of noncompact type for nonzero elements Xj, X∈a. For m,l⩾r+1, where r is the rankExpand
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CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND
We study the absolute continuity of the convolution ${\it\delta}_{e^{X}}^{\natural }\star {\it\delta}_{e^{Y}}^{\natural }$ of two orbital measures on the symmetric spacesExpand
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ESTIMATES FOR THE HEAT KERNEL ON SL(n R) SO(n)
In (1), Jean-Philippe Anker conjectures an upper bound for the heat kernel of a symmetric space of noncompact type. We show in this paper that his prediction is verified for the space of positiveExpand
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ON EXACT INFERENCE FOR CHANGE IN A POISSON SEQUENCE
Since Hinkley's original work on exact inference for a change in a sequence of random variables, many authors have proposed different methods based either on exact distributions or asymptoticExpand
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Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the QR decomposition
Abstract In this article, we show how the QR decomposition can be used to compute the Iwasawa decomposition for all classical Lie groups of noncompact type. This approach can also be used for theExpand
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A P ] 7 O ct 2 01 9 POTENTIAL KERNELS FOR RADIAL DUNKL LAPLACIANS
We derive two-sided bounds for the Newton and Poisson kernels of the W -invariant Dunkl Laplacian in geometric complex case when the multiplicity k(α) = 1 i.e. for flat complex symmetric spaces. ForExpand
An analogue to the Duistermaat–Kolk–Varadarajan estimate for the spherical functions associated with the root systems of type A
Abstract In this paper, we consider the generalized spherical functions ϕ λ ${\phi_{\lambda}}$ associated to the root systems of type A in order to provide an estimate in the spectral parameter λ.Expand