Geodesic
Generalized quasi-regular representation and its applications for shearlet transforms
Filomat, Tome 35 (2021) no. 3, p. 963

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DOI

The construction of continuous shearlet transform has been extended to higher dimensions. It was generalized to a group that is topologically isomorphic to a group of semidirect product of locally compact groups. In this paper, by a unified theoretical linear algebra approach to the representation theory, a class of continuous shearlet transforms obtained from the generalized quasi-regular representation is presented. In order to develop such representation, we utilize a homogeneous space with a relatively invariant Radon measure as tool from computational and abstract harmonic analysis
DOI : 10.2298/FIL2103963A
Classification : 42C40, 42C15, 65J22, 65T60
Keywords: Homogeneous space, strongly quasi invariant measure, unitary representation, continuous shearlet transforms 
Z Amiri; R A Kamyabi-Gol. Generalized quasi-regular representation and its applications for shearlet transforms. Filomat, Tome 35 (2021) no. 3, p. 963 . doi: 10.2298/FIL2103963A
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     author = {Z Amiri and R A Kamyabi-Gol},
     title = {Generalized quasi-regular representation and its applications for shearlet transforms},
     journal = {Filomat},
     pages = {963 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103963A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103963A/}
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