Bulletin of the Belgian Mathematical Society - Simon Stevin

Abstract Shearlet Transform

R.A. Kamyabi-Gol and V. Atayi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 4 (2015), 669-681.

First available in Project Euclid: 18 November 2015

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 42C40: Wavelets and other special systems 43A65: Representations of groups, semigroups, etc. [See also 22A10, 22A20, 22Dxx, 22E45]

Shearlet group shearlet transform semidirect product quasiregular representation


Kamyabi-Gol, R.A.; Atayi, V. Abstract Shearlet Transform. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 4, 669--681. doi:10.36045/bbms/1447856066. https://projecteuclid.org/euclid.bbms/1447856066

Export citation