Moment sequences for a certain class of distributions
- 1 October 1987
- journal article
- research article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 9 (1) , 31-39
- https://doi.org/10.1080/17476938708814247
Abstract
We Present the necessary and sufficient conditions for a sequence to be the moment sequence of a distribution in the space of the distributions of compact support. The analysis is based on a series of lemmas that reduce the problem to that of existence of distributional boundary limits of certain analytic functions defined in the unit disk. These results have many applications. We give an application in the theory of orthogonal polynomials.Keywords
This publication has 2 references indexed in Scilit:
- Distributional boundary values of harmonic and analytic functionsJournal of Mathematical Analysis and Applications, 1982
- Distributional Weight Functions for Orthogonal PolynomialsSIAM Journal on Mathematical Analysis, 1978