Real-valued discrete quaternionic Gabor frames are characterized by pointwise matrix inequalities; within Parseval frames, orthonormal bases occur exactly when N^2 = LM^2.
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Discrete Quaternionic (Multi-window) Gabor Systems
Real-valued discrete quaternionic Gabor frames are characterized by pointwise matrix inequalities; within Parseval frames, orthonormal bases occur exactly when N^2 = LM^2.