Bulletin of the Belgian Mathematical Society - Simon Stevin

Abstract Shearlet Transform

R.A. Kamyabi-Gol and V. Atayi

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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.

Article information

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

Dates
First available in Project Euclid: 18 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1447856066

Mathematical Reviews number (MathSciNet)
MR3429178

Zentralblatt MATH identifier
1333.42054

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

Keywords
Shearlet group shearlet transform semidirect product quasiregular representation

Citation

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


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