Hausdorff's moment problem and expansions in Legendre polynomials |
| |
| Authors: | R Askey I.J Schoenberg A Sharma |
| |
| Affiliation: | University of Wisconsin, Madison, Wisconsin 53706 U.S.A.;University of Alberta, Edmonton, Alberta TG6 2E1, Canada |
| |
| Abstract: | A new proof is given for Hausdorff's condition on a set of moments which determines when the function generating these moments is in L2. The proof uses Legendre polynomials and their discrete extensions found by Tchebychef. Then an extension is given to a weighted L2 space using Jacobi polynomials and their discrete extensions. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
