Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier-Laguerre transform, convolution and wavelets on the ball   We review the Fourier-Laguerre transform, an alternative harmonic analysis on
the three-dimensional ball to the usual Fourier-Bessel transform. The
Fourier-Laguerre transform exhibits an exact quadrature rule and thus leads to
a sampling theorem on the ball. We study the definition of convolution on the
ball in this context, showing explicitly how translation on the radial line may
be viewed as convolution with a shifted Dirac delta function. We review the
exact Fourier-Laguerre wavelet transform on the ball, coined flaglets, and show
that flaglets constitute a tight frame.

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The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn