Three variable exponential functions of the alternating group
Abstract
New class of special functions of three real variables, based on the alternating subgroup of the permutation group S3, 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 C3 is shown. Continuous interpolation of the three dimensional data is studied and exemplified.
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