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Solution of hypergeometric integral equations involving generalised functions

Published online by Cambridge University Press:  20 January 2009

Adam C. McBride
Adam C. McBride
Affiliation:
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow, Gl 1XH
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In a previous paper (9), we introduced the spaces Fp, μ of testing-functions and the corresponding spaces of generalised functions. For 1≦p≦∞, Fp(=Fp, 0) is the linear space of all complex-valued measurable functions φ defined on (0, ∞) which are infinitely differentiable on (0, ∞) and for which

for each k = 0, 1, 2, …. In symbols,

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 3 , March 1975 , pp. 265 - 285
Copyright
Copyright © Edinburgh Mathematical Society 1975

References

REFERENCES

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