Oblique Dual Frame Completion

Published: 25 Mar 2025, Last Modified: 24 Jul 2025SampTA 2025 OralEveryoneRevisionsBibTeXCC BY 4.0
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 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
Loading