The Inversion Integral

Davies, B.

doi:10.1007/978-1-4899-2691-3_6

B. Davies⁵

Part of the book series: Applied Mathematical Sciences ((AMS,volume 25))

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Abstract

Analytic information about the inversion integral is usually obtained by “closing the contour”, as in Section 2.4 for rational functions.

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Footnotes

For a discussion of the possible importance of exponentially small terms, see Olver (1974), pp. 76-78.
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If the expansion is convergent, then so is the inverse (39). See Carslaw & Jaeger (1941), pp. 271–273.
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Department of Mathematics, The Australian National University, Post Office Box 4, Canberra, A.C.T., 2600, Australia
B. Davies

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Davies, B. (1985). The Inversion Integral. In: Integral Transforms and their Applications. Applied Mathematical Sciences, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-2691-3_6

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DOI: https://doi.org/10.1007/978-1-4899-2691-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96080-7
Online ISBN: 978-1-4899-2691-3
eBook Packages: Springer Book Archive

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