Exponential-Wrapped Distributions on Symmetric Spaces

L–distributions on symmetric spaces

The notion of Lp–distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the topology of the space of test functions in terms of the Laplace–Beltrami operator. The techniques are based on a-priori estimates for elliptic operators. We show that structure theorems, similar to Rn, hold on symmetric ...

Truncated-Exponential Skew-Symmetric Distributions

The family of skew distributions introduced by Azzalini and extended by others has received widespread attention. However, it suffers from complicated inference procedures. In this paper, a new family of skew distributions that overcomes the difficulties is introduced. This new family belongs to the exponential family. Many properties of this family are studied, inference procedures developed a...

A Paley–wiener Theorem for Distributions on Reductive Symmetric Spaces

Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier transforms of compactly supported K-finite distributions on X and characterize the image of the space of such distributions.

Rotating Black Branes wrapped on Einstein Spaces

We present new rotating black brane solutions which solve Einstein’s equations with cosmological constant Λ in arbitrary dimension d. For negative Λ, the branes naturally appear in AdS supergravity compactifications, and should therefore play some role in the AdS/CFT correspondence. The spacetimes are warped products of a four-dimensional part and an Einstein space of dimension d− 4, which is n...

Some New Characterization Results on Exponential and Related Distributions