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JAT
2010
70views more  JAT 2010»
13 years 2 months ago
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
JAT
2010
31views more  JAT 2010»
13 years 2 months ago
Nearest and farthest points in spaces of curvature bounded below
Rafael Espínola, Chong Li, Genaro Ló...
JAT
2010
67views more  JAT 2010»
13 years 2 months ago
Joseph L. Ullman (1923-1995)
Michael A. Lachance, Walter Van Assche
JAT
2010
82views more  JAT 2010»
13 years 2 months ago
The Laguerre-Sobolev-type orthogonal polynomials
In this paper we find the second order linear differential equation satisfied by orthogonal polynomials with respect to the inner product p, q = ∞ 0 p(x)q(x)xα e−x dx + Mp...
Herbert Dueñas, Francisco Marcellán
JAT
2010
120views more  JAT 2010»
13 years 2 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
JAT
2010
61views more  JAT 2010»
13 years 2 months ago
Multivariate complex B-splines and Dirichlet averages
Abstract. The notion of complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and...
Peter Massopust, Brigitte Forster
JAT
2010
80views more  JAT 2010»
13 years 2 months ago
The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
Chong Li, Wen Song, Jen-Chih Yao
JAT
2010
39views more  JAT 2010»
13 years 2 months ago
On spectral polynomials of the Heun equation. I
The classical Heun equation has the form  Q(z) d2 dz2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) is a polynomial of degree at most 2 and ...
Boris Shapiro, Milos Tater
JAT
2010
109views more  JAT 2010»
13 years 2 months ago
Networks of polynomial pieces with application to the analysis of point clouds and images
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...
Ery Arias-Castro, Boris Efros, Ofer Levi