Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Integration and Fractional Differentiation for d-dimensional
  Jacobi Expansions   In this paper we consider an alternative orthogonal decomposition of the
space $L^2$ associated to the $d$-dimensional Jacobi measure and obtain an
analogous result to P.A. Meyer's Multipliers Theorem for d-dimensional Jacobi
expansions. Then we define and study the Fractional Integral, the Fractional
Derivative and the Bessel potentials induced by the Jacobi operator. We also
obtain a characterization of the potential spaces and a version of Calderon's
reproduction formula for the d-dimensional Jacobi measure.

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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: econ