Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-06-12T16:46:19.510Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Range of an Integral Transformation

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
Department of Mathematics University of Toronto Toronto, Ontario M5S 1A1
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The range of the transformation, defined by

is characterized on the spaces Lμ,p defined by the norm

for

Keywords

44A15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 545 - 548
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Heywood, P. and Rooney, P. G., On the Hankel and some related transformations, Canad. J. Math. 50(1988),989–1009.Google Scholar
2. Heywood, P. and Rooney, P. G., On the inversion of the even and odd Hilbert transformations, Proc. Roy. Soc. Edinburgh Sect. A 109(1988), 201–211.Google Scholar
3. Heywood, P. and Rooney, P. G., On the inversion of the extended Hankel transformation, J. Math. Anal. App. 160(1991), 284–302.Google Scholar
4. Heywood, P. and Rooney, P. G., On the Struve transformation, SI AM J. Math. Anal. 25(1994), 450–461.Google Scholar
5. Rooney, P. G., On the range of the Hankel transformation, Bull. London Math. Soc. 11(1979), 45–48.Google Scholar
6. Rooney, P. G., On the Yv and Hv transformations, Canad. J. Math. 32(1980), 1021–1044.Google Scholar
7. Titchmarsh, E. C., The theory of Fourier integrals, Oxford University Press, Oxford, 1937.Google Scholar