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JAT
2006
69views more  JAT 2006»
14 years 11 months ago
Almost periodic Verblunsky coefficients and reproducing kernels on Riemann surfaces
We give an explicit parametrization of a set of almost periodic CMV matrices whose spectrum (is equal to the absolute continuous spectrum and) is a homogenous set E lying on the u...
Franz Peherstorfer, P. Yuditskii
JAT
2010
88views more  JAT 2010»
14 years 10 months ago
Cauchy biorthogonal polynomials
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite–Pad´e approximation scheme. Associated with any totally ...
M. Bertola, M. Gekhtman, J. Szmigielski
JAT
2007
56views more  JAT 2007»
14 years 11 months ago
Quasi-interpolation in the Fourier algebra
We derive new convergence results for the Schoenberg operator and more general quasi-interpolation operators. In particular, we prove that natural conditions on the generator func...
Hans Georg Feichtinger, Norbert Kaiblinger
JAT
2007
92views more  JAT 2007»
14 years 11 months ago
On real-analytic recurrence relations for cardinal exponential B-splines
Let LN+1 be a linear differential operator of order N + 1 with constant coefficients and real eigenvalues 1, . . . , N+1, let E( N+1) be the space of all C∞-solutions of LN+1 o...
J. M. Aldaz, Ognyan Kounchev, Hermann Render
JAT
2010
109views more  JAT 2010»
14 years 10 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