Generating new classes of orthogonal polynomials.
Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils .
Laurent polynomial perturbations of linear functionals. An inverse problem.
A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product.
Jacobi-Sobolev orthogonal polynomials: asymptotics for -coherence of measures.
Estimates for polynomials orthogonal with respect to some Gegenbauer-Sobolev type inner product.
New quadrature rules for Bernstein measures on the interval .
Continuous symmetrized Sobolev inner products of order . II.
Appell orthogonal polynomials on the unit circle
Operators preserving orthogonality of polynomials
Let S be a degree preserving linear operator of ℝ[X] into itself. The question is if, preserving orthogonality of some orthogonal polynomial sequences, S must necessarily be an operator of composition with some affine function of ℝ. In [2] this problem was considered for S mapping sequences of Laguerre polynomials onto sequences of orthogonal polynomials. Here we improve substantially the theorems of [2] as well as disprove the conjecture proposed there. We also consider the same questions for polynomials...
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