Modeling Space and Space-Time Directional Data Using Projected Gaussian Processes Fangpo Wang & Alan E. Gelfand To cite this article: Fangpo Wang & Alan E. Gelfand (2014) Modeling Space and Space-Time Directional Data Using Projected Gaussian Processes, Journal of the American Statistical Association, 109:508, 1565-1580, DOI: 10.1080/01621459.2014.934454 To link to this article: http://dx.doi.o...

In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the Gelfand-Shilov spaces.

The quantum version of the Bernstein–Gelfand–Gelfand resolution is used to construct a Dolbeault–Dirac operator on anti-holomorphic forms Heckenberger–Kolb calculus for B $${}_2$$ -irreducible flag manifold. spectrum and multiplicities eigenvalues are computed. It shown that this construction yields an equivariant, even, 0 $${}^+$$ -summable spectral triple.

Quadratic algebras associated to graphs have been introduced by I. Gelfand, S. Gelfand, and Retakh in connection with decompositions of noncommutative polynomials. Here we show that, for each graph with rare triangular subgraphs, the corresponding quadratic algebra is a Koszul domain with global dimension equal to the number of vertices of the graph.

In general, the Gelfand widths cn(T ) of a map T between Banach spaces X and Y are not equivalent to the Gelfand numbers cn(T ) of T . We show that cn(T ) = cn(T ) (n ∈ N) provided that X and Y are uniformly convex and uniformly smooth, and T has trivial kernel and dense range. c ⃝ 2012 Elsevier Inc. All rights reserved.

This paper is devoted to the study of geometric structures modeled on homogeneous spaces G/P , where G is a real or complex semisimple Lie group and P ⊂ G is a parabolic subgroup. We use methods from differential geometry and very elementary finite–dimensional representation theory to construct sequences of invariant differential operators for such geometries, both in the smooth and the holomor...

Several classes of real Gelfand–Mazur algebras are described. Conditions, when the trace M∩B of a closed maximal left (right) idealM of a real topological algebra A would be a maximal ideal in a subalgebra B of the center of A are given.