Oblique Dual Frame Completion

Roza Aceska, Jerielle Malonzo, Gino Angelo Velasco

Session: General

Keywords: Frames, Oblique dual frames, Completion

Abstract: We study the oblique dual frame completion problem, where the oblique dual frame contains certain prescribed vectors. We establish conditions for the existence and uniqueness of such oblique dual frames and provide explicit constructions using several approaches, including a product matrix approach and a singular value decomposition approach.

Submission Number: 23