Publication Cover
Applicable Analysis
An International Journal
Volume 26, 1988 - Issue 3
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Original Articles

An extended poisson type sum formula for general transforms and aliasing error bound for the generalized sampling theorem

Pages 199-221 | Received 16 Apr 1986, Published online: 02 May 2007

References

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  • Jerri , A.J. 1982 . On general transforms hill functions . J. Appl. Anal , 14 : 11 – 25 .
  • Hoskins , F.R. and Pinto , J.S. 1984 . Sampling expansions and the generalized translation invariance . J. Franklin Inst , 317 : 323 – 327 .
  • Watson , G.N. 1944 . A treatise on the theory of Bessel functions , Vol. 584 , Cambridge University Press .
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  • Jerri , A.J. 1977 . The Shannon sampling theorem - its various extensions of applications: a tutorial review . Proc. IEEE , 65 ( 11 ) : 1565 – 1596 .
  • Weiss , P. 1963 . An estimate of the error arising from misapplication of the sampling theorem . Amer. Math. Soc. Notices, No. (0.35) , 65 ( 11 ) Abstract No. 601-54
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  • Mook , D.R. , Fisk , G.V. and Oppenheim , A.V. 1984 . A hybrid numberical-analytical technique for the computation of wave fields in stratified media based on the Hankel transform . J. Acouts. Soc. Am , 76 ( 1 ) : 222 – 243 . see also references 15, 16, 19, and 21 in this paper

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