A study of the gravitational wave form from pulsars

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Classical and Quantum Gravity, ISSN: 0264-9381, Vol: 19, Issue: 7, Page: 1327-1334

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Valluri, S. R.; Drozd, J. J.; Chishtie, F. A.; Biggs, R. G.; Davison, M.; Dhurandhar, Sanjeev V.; Sathyaprakash, B. S.
IOP Publishing
Physics and Astronomy; Wave generation and sources; Pulsars; Relativity and gravitation; Integral transforms; Wave propagation and interactions; Applied Mathematics; Astrophysics and Astronomy; Mathematics; Physics
article description
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.