Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2003; 40(4): 577-593

Printed July 1, 2003

Copyright © The Korean Mathematical Society.

Complex analysis and the Funk transform

T. N. Bailey, M. G. Eastwood, A. R. Gover, and L. J. Mason

University of Edinburgh, University of Adelaide, University of Auckland, and Mathematical Institute

Abstract

The Funk transform is defined by integrating a function on the two-sphere over its great circles. We use complex analysis to invert this transform.

Keywords: Funk, Penrose, Radon, Zoll

MSC numbers: Primary 53C65; Secondary 32W05, 44A12

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