On Finite Dimensional Hilbert Space Frames, Dual and Normalized Frames and Pseudo-inverse of the Frame Operator
DOI:
https://doi.org/10.53555/nnms.v5i11.528Keywords:
Hilbert space, frame, Dual frame, Psuedo-inverse, NormalizedAbstract
In this research paper we do an introduction to Hilbert space frames. We also discuss various frames in the Hilbert space. A frame is a generalization of a basis. It is useful, for example, in signal processing. It also allows us to expand Hilbert space vectors in terms of a set of other vectors that satisfy a certain condition. This condition guarantees that any vector in the Hilbert space can be reconstructed in a numerically stable way from its frame coe?cients. Our focus will be on frames in ?nite dimensional spaces.
References
3. “Finite Normalized Tight Frames”, Benedetto & Fickus, Advances in Computational Mathematics 18:357-385, 2003
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