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A study of the gravitational wave form from pulsars

S R Valluri et al 2002 Class. Quantum Grav. 19 1327-1334   doi: 10.1088/0264-9381/19/7/314  Help

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S R Valluri1, J J Drozd2, F A Chishtie2, R G Biggs3, M Davison2, Sanjeev V Dhurandhar4 and B S Sathyaprakash5
1 Department of Physics and Astronomy and Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
2 Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
3 Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
4 Inter-University Centre for Astronomy and Astrophysics (IUCAA), Post Bag 4, Ganeshkhind, Pune 411007, India
5 Department of Physics and Astronomy, University of Cardiff, UK
E-mail: valluri@uwo.ca, jdrozd1@uwo.ca, fachisht@uwo.ca, spindoctor@gulfislands.com, mdavison@uwo.ca, sdh@iucaa.ernet.in and b.s.sathyaprakash@astro.cf.ac.uk

Abstract. We 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.

PACS numbers: 0430D, 9760

An erratum for this article has been published in 2002 Class. Quantum Grav. 19 4227

Print publication: Issue 7 (7 April 2002)
Received 25 October 2001
Published 11 March 2002

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