Abstract
The discrete Fourier transforms of the six families of E-functions of the groups O(5) and G(2) is summarized. The six types are shown to be generalizations of the Euler formula for the complex exponential function. The fragments of the dual weight lattices, which can be of any density, form the points of the discrete Fourier calculus. Application of the discrete Fourier transforms to interpolation is presented and exemplified on a model function.
Mathematics Subject Classification (2010). Primary 43A75; Secondary 42B99.
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© 2014 Springer International Publishing Switzerland
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Háková, L., Hrivnák, J. (2014). Fourier Transforms of E-functions of O(5) and G(2). In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_21
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DOI: https://doi.org/10.1007/978-3-319-06248-8_21
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
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