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The Quarterly Journal of Mathematics 2000 51(3):371-383; doi:10.1093/qjmath/51.3.371
© 2000 by Oxford University Press
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The Cherry Transform and its Relationship with a Singular Sturm–liouville Problem

H. M. Srivastava1,*, Vu Kim Tuan2 and S. B. YAKUBOVICH3,§

1 Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada 2 Department of Mathematics, Faculty of Science, University of Kuwait, Safat, 13060, Kuwait 3 Systemhouse, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands

A Plancherel-type theorem is established in two ways for the Cherry transform.

Received 24 March, 1999. Revised 24 March, 1999.

* E-mail: hmsri@uvvm.uvic.ca

§ Present address: Departamento de Matemática Pura, Facultade de Ciencias, Universidade de Porto, P-4099-002 Porto, Portugal. E-mail: S.Yakubovich@agc0.fc.up.pt


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