Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modifications of Prony's Method for the Recovery and Sparse
  Approximation of Generalized Exponential Sums   In this survey we describe some modifications of Prony's method. In
particular, we consider the recovery of general expansions into eigenfunctions
of linear differential operators of first order and show, how these expansions
can be recovered from function samples using generalized shift operators. We
derive an ESPRIT-like algorithm for the generalized recovery method and show,
that this approach can be directly used to reconstruct classical exponential
sums from non-equispaced data. Furthermore, we derive a modification of Prony's
method for sparse approximation with exponential sums which leads to a
non-linear least-squares problem.

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The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ