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FSI-9AHAAcad. year: 2023/2024
General theory of generating systems in Hilbert spaces: orthonormal bases (ONB), Riesz bases (RB), frames and reproducing kernels.The associated operators (for reconstruction, discretization, etc.). Properties and characterization theorems. Canonical duality. Useful constructions and algorithms based on the application of the theory of pseudoinverse operators. Special frames (Gabor and wavelet) and their applications.
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