In some vague sense, the collection of all fractional and singular integrals forms a poor man’s version of a classical calculus of pseudodifferential operators. Certainly a fractional integral is very much like the parametrix for a strongly elliptic operator.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Krantz, S.G. (2009). Fractional and Singular Integrals. In: Explorations in Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4669-1_4
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