Computing Recomposition of Maps with a New Sampling Asymptotic Formula
Almudena Antuña, Juan L. G. Guirao, Miguel A. López
DOI: 10.4236/ojdm.2011.12006   PDF    HTML     4,329 Downloads   8,248 Views   Citations


The aim of the present paper is to state an asymptotic property Ρ of Shannon’s sampling theorem type, based on normalized cardinal sines, and keeping constant the sampling frequency of a not necessarilly band- limited signal. It generalizes in the limit the results stated by Marvasti et al. [7] and Agud et al. [1]. We show that Ρ is fulfilled for any constant signal working for every given sampling frequency. Moreover, we conjecture that Gaussian maps of the form e-Λt2 ,Λ∈R+, hold Ρ. We support this conjecture by proving the equality given by for the three first coefficients of the power series representation of e-Λt2 .

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A. Antuña, J. Guirao and M. López, "Computing Recomposition of Maps with a New Sampling Asymptotic Formula," Open Journal of Discrete Mathematics, Vol. 1 No. 2, 2011, pp. 43-49. doi: 10.4236/ojdm.2011.12006.

Conflicts of Interest

The authors declare no conflicts of interest.


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