Ratio Mercerian Theorems with Applications to Hankel and Fourier Transforms |
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| Authors: | Bingham N H; Inoue A |
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| Institution: | Department of Mathematics and Statistics, Birkbeck College, University of London Malet Street, London WC1E 7HX, email: n.bingham{at}bbk.ac.uk
Department of Mathematics, Faculty of Science, Hokkaido University Sapporo 060, Japan, email: inoue{at}math.sci.hokudai.ac.jp |
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| Abstract: | We complete and complement our recent work on Drasin-Shea-Jordantheorems for Fourier and Hankel transforms. In improving onthe methods of our previous work, we were led to certain ratioMercerian theorems for general kernels; these yield definitiveversions of our earlier results for Fourier and Hankel transforms.1991 Mathematics Subject Classification: primary 44A15; secondary47B38. |
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