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On integral operators with kernels involving Bessel functions

Published online by Cambridge University Press:  24 October 2008

G. O. Okikiolu
Affiliation:
University of East Anglia

Abstract

By representing integral operators defined by kernels involving Bessel functions as compositions of two operators, we determine their mapping properties and, in one case, derive an inversion process. The operators considered are of the form

where τ(t) is given respectively by and and in the last three cases the integrals converge in norm.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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