Standard shearlet group in arbitrary space dimensions and projections in its L1-algebra

Masoumeh Zare () and Rajab Ali Kamyabi-Gol ()
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Masoumeh Zare: Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS)
Rajab Ali Kamyabi-Gol: Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS)

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 1115-1132

Abstract: Abstract This paper is devoted to definition standard shearlet group $$\mathbb{S} = {\mathbb{R}^ + } \times {\mathbb{R}^{n - 1}} \times {\mathbb{R}^n}$$S=R+×Rn−1×Rn, in arbitrary space dimensions and concerned with the projections which are, self adjoint idempotents in the group algebra $${L^1}(\mathbb{S})$$L1(S). Actually we determine minimal projections, associated with an open free orbit, in details.

Keywords: L 1-projection; shearlet group; square-integrable representation; admissible function (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0379-7

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