Three variable exponential functions of the alternating group

Details Three variable exponential functions of the alternating group Three variable exponential functions of the alternating group

2012-02-02

arxiv.org/abs/1202.0490v1

J. Phys. A: Math. Theor. 45 (2012) 045201

Physics

Mathematical Physics

10 pages, 3 figures

Scientific paper

10.1088/1751-8113/45/4/045201

New class of special functions of three real variables, based on the alternating subgroup of the permutation group $S_3$, is studied. These functions are used for Fourier-like expansion of digital data given on lattice of any density and general position. Such functions have only trivial analogs in one and two variables; a connection to the $E-$functions of $C_3$ is shown. Continuous interpolation of the three dimensional data is studied and exemplified.

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