Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Function spaces obeying a time-varying bandlimit   Motivated by applications to signal processing and mathematical physics,
recent work on the concept of time-varying bandwidth has produced a class of
function spaces which generalize the Paley-Wiener spaces of bandlimited
functions: any regular simple symmetric linear transformation with deficiency
indices $(1,1)$ is naturally represented as multiplication by the independent
variable in one of these spaces. We explicitly demonstrate the equivalence of
this model for such linear transformations to several other functional models
based on the theories of meromorphic model spaces of Hardy space and purely
atomic Herglotz measures on the real line, respectively. This theory provides a
precise notion of a time-varying or local bandwidth, and we describe how it may
be applied to construct signal processing techniques that are adapted to
signals obeying a time-varying bandlimit.

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The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an