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In this paper the problem of construction of lattice optimal interpolation formulas in the space ]L(m) 2 (0, 1) is considered.
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
We consider Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties.An interpolation theorem, along with additional operator theoretic resul...
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
In this paper, an equivalence between existence of particular exponential Riesz bases for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
A necessary and sufficient condition of regularity of (0,1,…, m - 2, m) interpo-lation on the zeros of the Laguerre polynomials$L^{(α)}_n (x) (α\geq -1)$ in a manageable form is established. Meanwhile...

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