Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Bandlimited Sampling: Nonlinearities, Smoothness and Sparsity   Sampling theory has benefited from a surge of research in recent years, due
in part to the intense research in wavelet theory and the connections made
between the two fields. In this survey we present several extensions of the
Shannon theorem, that have been developed primarily in the past two decades,
which treat a wide class of input signals as well as nonideal sampling and
nonlinear distortions. This framework is based on viewing sampling in a broader
sense of projection onto appropriate subspaces, and then choosing the subspaces
to yield interesting new possibilities. For example, our results can be used to
uniformly sample non-bandlimited signals, and to perfectly compensate for
nonlinear effects.

6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex