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arXiv · 1801.03785

Computability of Frames in Computable Hilbert Spaces

Poonam Mantry·S. K. Kaushik
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Abstract

Frames play an important role in various practical problems related to signal and image processing. In this paper, we define computable frames in computable Hilbert spaces and obtain computable versions of some of their characterizations. Also, the notion of duality of frames in the context of computability has been studied. Finally, a necessary and sufficient condition for the existence of a computable dual frame is obtained.

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BibTeXRIS

Poonam Mantry, S. K. Kaushik. 2018-01-10. Computability of Frames in Computable Hilbert Spaces. https://arxiv.org/abs/1801.03785

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