Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the expansion of functions in terms of their moments

Author: H. S. Green
Journal: Quart. Appl. Math. 11 (1954), 403-409
MSC: Primary 41.1X
DOI: https://doi.org/10.1090/qam/58025
MathSciNet review: 58025
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Abstract: A general method is devised for the reconstruction of functions of a continuous variable from their moments. An analogue is given for functions of a discrete variable. An application is given to the solution of partial differential equations with a given initial condition.

References [Enhancements On Off] (What's this?)

  • [1] J. A. Shohat and J. D. Tamarkin, The problem of moments, American Math. Soc., Mathematical Surveys 1 (1943). MR 0008438
  • [2] M. G. Kendall, The advanced theory of statistics, Vol. 1, Griffin, London (1943).
  • [3] L. V. Spencer and U. Fano, Phys. Rev. 81, 464 (1951).
  • [4] P. A. M. Dirac, The principles of quantum mechanics, Oxford, Clarendon Press (1947). MR 0023198
  • [5] J. V. Neumann, Math. Grundl. d. Quantenmechanik, Berlin, Springer, 1932.
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DOI: https://doi.org/10.1090/qam/58025
Article copyright: © Copyright 1954 American Mathematical Society

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