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The classical moment problem: Hilbertian proofs. (English) Zbl 0446.44006


MSC:

44A60 Moment problems
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
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References:

[1] Akhiezer, N.I, The classical moment problem, (1965), Hafner New York · Zbl 0135.33803
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[8] Gelfand, I.M; Levitan, B.M; Gelfand, I.M; Levitan, B.M, On the determination of a differential equation from its spectral function, Izv. akad. nauk SSSR, Amer. math. soc. transl. ser. 2, 1, 253-304, (1955) · Zbl 0066.33603
[9] Krein, M.G, Solution of the inverse Sturm-Liouville problem, Dokl. akad. nauk SSSR, 76, No. 1, 21-24, (1951)
[10] Sondhi, M.M; Gopinath, B, Determination of vocal tract shape from impulse response at the lips, J. acoust. soc. amer., 49, No. 6, 1867-1873, (1971), (Part 2)
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