Luciano Abadías

most citedHermite expansions of

C_{0}

-groups and cosine functions

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2014

A subordination principle on Wright functions and regularized resolvent families

Luciano Abadias, Pedro J. Miana

We obtain a vector-valued subordination principle for $(g_{α}, g_{α})$ -regularized resolvent families which unified and improves various previous results in the literature. As a conseq…

math.CA2014

Quadrature rules for $L^{1}$ -weighted norms of orthogonal polynomials

Luciano Abadias, Pedro J. Miana, Natalia Romero

In this paper we obtain $L^{1}$ -weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; t…

math.FA2014★ 2 cited

Hermite expansions of $C_{0}$ -groups and cosine functions

Luciano Abadias, Pedro J. Miana

In this paper we introduce vector-valued Hermite expansions to approximate one-parameter operator families such as $C_{0}$ -groups and cosine functions. In both cases we estimate the…

A subordination principle on Wright functions and regularized resolvent families

Quadrature rules for L1-weighted norms of orthogonal polynomials

Hermite expansions of C0​-groups and cosine functions

Quadrature rules for $L^{1}$ -weighted norms of orthogonal polynomials

Hermite expansions of $C_{0}$ -groups and cosine functions