By using properties of the Young orthogonal representation, this paper derives a simple form for the Fourier transform of permutations acting on the homogeneous space of n-dimensional vectors, and shows that the transform requires 2n− 2 multiplications and the same number of additions.

This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by reviewing the current knowledge of possible global forms of pseudoRiemannian manifolds with constant curvatures, and discuss what kind of problems we propose to pursue. For pseudo-Riemannian manifolds, isometric acti...

This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by reviewing the current knowledge of possible global forms of pseudoRiemannian manifolds with constant curvatures, and discuss what kind of problems we propose to pursue. For pseudo-Riemannian manifolds, isometric acti...

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

We present a new technique for choosing spatial regions for X-ray spectroscopy, called " contour binning ". The method chooses regions by following contours on a smoothed image of the object. In addition we re-explore a simple method for adaptively smoothing X-ray images according to the local count rate, we term " accumulative smoothing " , which is a generalisation of the method used by FADAP...

We show that the log canonical bundle, κ, of M0,n is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for the homogeneous ideal: The embedding is equivariant for the symmetric group, and the image lies on many Segre embedded copies of P×· · ·×P, permuted by the symmetric group. The homogeneous ideal of M0,n is the sum of the homogene...

We show that the log canonical bundle, κ, of M0,n is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for the homogeneous ideal: The embedding is equivariant for the symmetric group, and the image lies on many Segre embedded copies of P×· · ·×P, permuted by the symmetric group. The homogeneous ideal of M0,n is the sum of the homogene...

Three studies assessed the impact of White individuals’ mere membership in racially diverse or homogeneous groups on conformity. In Study 1, White participants were randomly assigned to four-person groups that were racially diverse or homogeneous in which three confederates routinely endorsed clearly inferior college applicants for admission. Participants in diverse groups were significantly le...