Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential Approximation of Multivariate Bandlimited Functions from
  Average Oversampling   Instead of sampling a function at a single point, average sampling takes the
weighted sum of function values around the point. Such a sampling strategy is
more practical and more stable. In this note, we present an explicit method
with an exponentially-decaying approximation error to reconstruct a
multivariate bandlimited function from its finite average oversampling data.
The key problem in our analysis is how to extend a function so that its Fourier
transform decays at an optimal rate to zero at infinity.

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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: acc-phys