Bandlimited shearlet-type frames with nice duals

The present paper 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.