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JAT
2007
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13 years 4 months ago
On Lebesgue-type inequalities for greedy approximation
We study the efficiency of greedy algorithms with regard to redundant dictionaries in Hilbert spaces. We obtain upper estimates for the errors of the Pure Greedy Algorithm and th...
David L. Donoho, Michael Elad, Vladimir N. Temlyak...
JAT
2007
50views more  JAT 2007»
13 years 4 months ago
Unbounded Jacobi matrices at critical coupling
David Damanik, Serguei Naboko
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
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
56views more  JAT 2007»
13 years 4 months ago
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formul...
Evi Daems, Arno B. J. Kuijlaars