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Remarks on an expansion for integrals of rapidly oscillating functions

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Abstract

An expansion for the integral∫ b a f(x)e iqx dx, using the expansion forf(x) in terms of Bernoulli polynomials, is derived. Some applications are indicated.

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Authors and Affiliations

  1. Institutt for Numerisk Matematikk Norges Tekniske Høgskole, Trondheim, Norway

    Tore Håvie

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  1. Tore Håvie
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Work performed while the author was working as staff member and corresponding fellow at CERN, Geneva, Switzerland.

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Håvie, T. Remarks on an expansion for integrals of rapidly oscillating functions. BIT 13, 16–29 (1973). https://doi.org/10.1007/BF01933520

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  • DOI: https://doi.org/10.1007/BF01933520

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