Khah, M. Amin; Hemmat, A. Askari; Tousi, R. Raisi On dual shearlet frames. (English) Zbl 1412.42080 J. Linear Topol. Algebra 4, No. 2, 159-163 (2015). Summary: In This paper, we give a necessary condition for function in \(L^2\) with its dual to generate a dual shearlet tight frame with respect to admissibility. MSC: 42C15 General harmonic expansions, frames 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems Keywords:dual shearlet frame; Bessel sequence; admissible shearlet PDFBibTeX XMLCite \textit{M. A. Khah} et al., J. Linear Topol. Algebra 4, No. 2, 159--163 (2015; Zbl 1412.42080) Full Text: Link References: [1] C. K. Chui, X. Shi, On a LittlewoodPaley identity and characterization of wavelets, Math. Anal. Appl. 177 (1993) 608-626. · Zbl 0782.42025 [2] I. Daubechies, B. Han, Pairs of dual wavelet frames from any two renable functions, Constr. Appr.,to appear. · Zbl 1055.42025 [3] B. Han, On dual wavelet tight frames, Appl. Comput. Harmon. Anal. 4 (1997) 380-413. · Zbl 0880.42017 [4] G. Kutyniok, D. Labate, Shearlets: Multiscale Analysis for Multivariate Data, Birkhauser, Basel, 2012. · Zbl 1237.42001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.