Abstract
In this paper, the shearlet theory is extended from Euclidean spaces to locally compact groups. More precisely, the abstract shearlet group is defined as a 3-fold semidirect product and the abstract shearlet transform is constructed by means of a quasiregular representation of the semidirect product group. Its properties are investigated and results are illustrated by some examples.
Citation
R.A. Kamyabi-Gol. V. Atayi. "Abstract Shearlet Transform." Bull. Belg. Math. Soc. Simon Stevin 22 (4) 669 - 681, november 2015. https://doi.org/10.36045/bbms/1447856066
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