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

Author

Listed:
  • 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))

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.

Suggested Citation

  • Masoumeh Zare & Rajab Ali Kamyabi-Gol, 2019. "Standard shearlet group in arbitrary space dimensions and projections in its L1-algebra," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 1115-1132, December.
    • Handle: RePEc:spr:indpam:v:50:y:2019:i:4:d:10.1007_s13226-019-0379-7
    DOI: 10.1007/s13226-019-0379-7
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