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On an inversion formula

Published online by Cambridge University Press:  18 May 2009

D. Naylor
D. Naylor
Affiliation:
University of Western Ontario London, Ontario Canada
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In this paper the author considers the problem of finding a formula of inversion for the integral transform defined by the equation

where a >0, k > 0 and r-1f(r) εL (a, ∞). This transform appeared in connection with an earlier investigation [4] in which an attempt was made to devise an integral transform that could be adapted to the solution of certain boundary value problems involving the space form of the wave equation and the condition of radiation:

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 24 , Issue 2 , July 1983 , pp. 149 - 159
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983

References

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