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JAT
2006
69views more  JAT 2006»
13 years 4 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»
13 years 3 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»
13 years 4 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»
13 years 4 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»
13 years 3 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