Mathematics – Functional Analysis
Scientific paper
2009-06-18
Mathematics
Functional Analysis
14 pages, LaTeX with AMS macros
Scientific paper
We develop the theory of frames and Parseval frames for finite-dimensional vector spaces over the binary numbers. This includes characterizations which are similar to frames and Parseval frames for real or complex Hilbert spaces, and the discussion of conceptual differences caused by the lack of a proper inner product on binary vector spaces. We also define switching equivalence for binary frames, and list all equivalence classes of binary Parseval frames in lowest dimensions, excluding cases of trivial redundancy.
Bodmann Bernhard G.
Le My
Reza Letty
Tobin Matthew
Tomforde Mark
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