On dual shearlet frames

Subject Areas : Operator theory

M. Amin khah ¹ , A. Askari Hemmat ² , R. Raisi Tousi ³

1 - Department of Application Mathematics, Kerman Graduate University of High Technology, PO. Code 76315-115, Iran
2 - Department of Mathematics, Shahid Bahonar University of Kerman, PO. Code 76175-133, Iran
3 - Department of Mathematics, Ferdowsi University of Mashhad, PO. Code 1159-91775, Iran

Received: 2015-07-20 Accepted : 2015-11-17 Published : 2015-05-01

Keywords: Dual shearlet frame, Bessel sequence, admissible shearlet,

Abstract :

In This paper, we give a necessary condition for function in $L^2$with its dual togenerate a dual shearlet tight frame with respect to admissibility.

References:

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[3] B. Han, On dual wavelet tight frames, Appl. Comput. Harmon. Anal. 4 (1997) 380-413.

[4] G. Kutyniok, D. Labate, Shearlets: Multiscale Analysis for Multivariate Data, Birkhauser, Basel, 2012.