Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extrapolation of Bandlimited Multidimensional Signals from Continuous
  Measurements   Conventional sampling and interpolation commonly rely on discrete
measurements. In this paper, we develop a theoretical framework for
extrapolation of signals in higher dimensions from knowledge of the continuous
waveform on bounded high-dimensional regions. In particular, we propose an
iterative method to reconstruct bandlimited multidimensional signals based on
truncated versions of the original signal to bounded regions---herein referred
to as continuous measurements. In the proposed method, the reconstruction is
performed by iterating on a convex combination of region-limiting and
bandlimiting operations. We show that this iteration consists of a firmly
nonexpansive operator and prove strong convergence for multidimensional
bandlimited signals. In order to improve numerical stability, we introduce a
regularized iteration and show its connection to Tikhonov regularization. The
method is illustrated numerically for two-dimensional signals.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math