Abstract
The aim of this paper is to study the decomposition of pseudo–radioactive products that follow a dynamics determined by a trigonometric factor. In particular for maps of the form \(e^{\cos (\pi t)}\) is proved that an asymptotic sampling recomposition property, generalizing the classical Shannon–Whittaker–Kotel’nikov Theorem, works.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Agud, R.G. Catalán, New Shannon’s sampling recomposition. Rev. Acad. Ciencias, Zaragoza 56, 45–48 (2011)
A. Antuña, J.L.G. Guirao, M.A. López, An asymptotic sampling recomposition theorem for Gaussian signals. Mediterr. J. Math. 8, 349–367 (2011)
A. Antuña, Teorema del muestreo potencial asintótico (Universidad Pública de Navarra, Navarra, 2004). Ph.D. Thesis.
J.L.G. Guirao, M.T. de Bustos, Dynamics of pseudo-radioactive chemical products via sampling theory. J. Math. Chem. 50(2), 374–378 (2012)
F. Marvasti, A.K. Jain, Zero crossings bandwith compression, and restoration of nonlinearly distorted bandlimited signals. J. Opt. Soc. Am. 3, 651–654 (1986)
D. Middleton, An Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960)
C.E. Shannon, Communication in the presence of noise. Proc. IRE 137, 10–21 (1949)
A.I. Zayed, Advances in Shannon’s sampling theory (CRC Press, Boca Raton, 1993). Ed.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
de Bustos Muñoz, M.T., Guirao, J.L.G. & Vigo-Aguiar, J. Decomposition of pseudo-radioactive chemical products with a mathematical approach. J Math Chem 52, 1059–1065 (2014). https://doi.org/10.1007/s10910-013-0285-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-013-0285-x