Hyperfunctional weights for orthogonal polynomials (Q810693)

\textit{R. D Morton} and \textit{A. M. Krall} [SIAM J. Math. Anal. 2, 604-626 (1978; Zbl 0389.33009)] introduced a theory of distribution weights to unify the treatment of orthogonal polynomials of Jacobi, Laguerre and Hermite type, as Chebyshev polynomials associated to a suitable sequence of moments \(\{\mu_ n\}^{\infty}_ 0\). But it needed to introduce another theory based on complex integral to interpret the orthogonality of the Bessel polynomials. This article extended the former theory by introducing hyperfunction weights in place of distributions, and succeeded in unifying all the cases.