S R Valluri et al 2002 Class. Quantum Grav. 19 1327 doi:10.1088/0264-9381/19/7/314
S R Valluri1, J J Drozd2, F A Chishtie2, R G Biggs3, M Davison2, Sanjeev V Dhurandhar4 and B S Sathyaprakash5
Show affiliationsWe present analytical and numerical studies of the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar, taking into account the rotation and orbital motion of the Earth. We also briefly discuss the Zak–Gelfand integral transform and a special class of the generalized hypergeometric function of potential relevance. The Zak–Gelfand integral transform that arises in our analytic approach has also been useful for Schrödinger operators in periodic potentials in condensed matter physics (Bloch wavefunctions) and holds promise for the study of periodic GW signals for long integration times.
04.30.Db Wave generation and sources
44A15 Special transforms (Legendre, Hilbert, etc.)
33Cxx Hypergeometric functions
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Issue 7 (7 April 2002)
Received 25 October 2001
Published 11 March 2002
An Erratum for this article has been published in 2002 Class. Quantum Grav. 19 4227
S R Valluri et al 2002 Class. Quantum Grav. 19 1327
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