Arithmetic and the Fuchs calculus

  • André Unterberger
Part of the Pseudo-Differential Operators book series (PDO, volume 13)


Recall that, so as to protect ourselves from the large coefficient a1(N) of δ0 in \(\mathfrak{T}_{N}^{1}\), we have dealt, most of the time, with functions w supported in [0, ∞[ or with a Fourier transform supported in the half-line. Now, there exists on the half-line a symbolic calculus of operators more suitable than the Weyl calculus, to wit the Fuchs calculus: its name stems from the way it adapts itself to the consideration of differential operators of Fuchs type on the half-line.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • André Unterberger
    • 1
  1. 1.Department of MathematicsUniversity of ReimsReimsFrance

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