Accession Number:

ADA093612

Title:

Hausdorff's Moment Problem and Expansions in Legendre Polynomials.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-10-01

Pagination or Media Count:

15.0

Abstract:

A new proof is given for Hausdorffs 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. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE