Hausdorff's Moment Problem and Expansions in Legendre Polynomials.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics