Digital Signal Processing, Mathematical Analysis, Applied Mathematics, Functional Analysis, Analysis, Biomedical Signal Processing, Real and Complex Analysis, Harmonic Analysis, Wavelet, Quantum Spin
Theory and design of frames and fusion frames with optimality properties. Optimality criteria from geometric or information-theoretic principles. 1. Optimal and near-optimal subspace arrangements for high-dimensional parallel computing with fusion frames. 2. Characterization and design of equiangular tight frames. 3. Frames as codes: Error correction by linear, redundant encoding of analog signals. 4. Multiresolution methods and statistical analysis for biomedical imaging. 5. Multiresolution analysis with directional selectivity in multidimensions. 6. Uncertainty principles in filter design. 7. Entropy and phase space bounds for coherent state representations in mathematical physics.
Publications/Creative Works
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