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RATIO MERCERIAN THEOREMS WITH APPLICATIONS TO HANKEL AND FOURIER TRANSFORMS

Published online by Cambridge University Press:  01 November 1999

N. H. BINGHAM  and
A. INOUE
N. H. BINGHAM
Affiliation:
Department of Mathematics and Statistics, Birkbeck College, University of London, Malet Street, London WC1E 7HX, email:[email protected]
A. INOUE
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan, E-mail:[email protected]
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Abstract

We complete and complement our recent work on Drasin-Shea-Jordan theorems for Fourier and Hankel transforms. In improving on the methods of our previous work, we were led to certain ratio Mercerian theorems for general kernels; these yield definitive versions of our earlier results for Fourier and Hankel transforms.

1991 Mathematics Subject Classification: primary 44A15; secondary 47B38.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 79 , Issue 3 , November 1999 , pp. 626 - 648
Copyright
1999 London Mathematical Society

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