Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-10T16:13:54.398Z Has data issue: false hasContentIssue false
  • English
  • Français

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:n.bingham@bbk.ac.uk
A. INOUE
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan, E-mail:inoue@math.sci.hokudai.ac.jp
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)