Infinite Matrices in Sampling Theory and Related Applications
نویسنده
چکیده
for all f ∈ H. In general Banach spaces one cannot use just the equivalence of norms similar to (1.1). The above construction breaks down because, in this case, the analysis operator ends up being bounded below and not necessarily left invertible. As a result a “frame decomposition” remains possible but “frame reconstruction” no longer makes sense. In case of localizaed frames, however, this obstruction does not exist.
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