Hausdorff's Moment Problem and Expansions in Legendre Polynomials.

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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1980
Accession Number
ADA093612

Entities

People

  • Aashish Sharma
  • Isaac Jacob Schoenberg
  • R. Askey

Organizations

  • University of Wisconsin–Madison

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  • C4I

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  • Hypergeometric Functions
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  • Polynomials
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  • Mathematics

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  • Linear Algebra

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  • Space