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Bandlimited shearlet-type frames with nice duals

by P. Grohs

(Report number 2011-55)

Abstract
The present paper for the first time constructs a frame/dual frame pair of shearlet type such that both frames possess the distinctive time-frequency localization properties needed in establishing their desirable approximation properties. Our construction is based on a careful pasting together of two bandlimited shearlet Parseval frames associated with two different frequency cones, inspired by domain decomposition methods used primarily for the solution of PDEs.

Keywords: Shearlets, nonlinear Approximation, Parabolic Molecules, Frames

@Techreport{G11_129,
  author = {P. Grohs},
  title = {Bandlimited shearlet-type frames with nice duals},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-55},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-55.pdf },
  year = {2011}
}

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