Decomposing the Wavelet Representation for Shifts by Wallpaper Groups
نویسندگان
چکیده
The wavelet group and representation associated with shifts coming from a two dimensional crystal symmetry $$\Gamma $$ dilations by powers of 3, are defined studied. main result is an explicit decomposition this $$3\Gamma -wavelet into irreducible representations the group. Because we prove that multiplicity free, direct integral essentially unique.
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2021
ISSN: ['1531-5851', '1069-5869']
DOI: https://doi.org/10.1007/s00041-021-09818-1