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2008 J. Phys. A: Math. Theor. 41 145205 (16pp) doi: 10.1088/1751-8113/41/14/145205
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Abstract. We define and study multivariate sine and cosine functions, symmetric with respect to the alternating group An, which is a subgroup of the permutation (symmetric) group Sn. These functions are eigenfunctions of the Laplace operator. They determine Fourier-type transforms. There exist three types of such transforms: expansions into corresponding sine-Fourier and cosine-Fourier series, integral sine-Fourier and cosine-Fourier transforms, and multivariate finite sine and cosine transforms. In all these transforms, alternating multivariate sine and cosine functions are used as a kernel.
PACS numbers: 02.10.Gd, 02.20.−a, 02.30.Gp, 02.30.Nw, 02.60.Lj
Print publication: Issue 14 (11 April 2008) |
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