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In this paper we characterise the r-nuclearity of Fourier integral operators on Lebesgue spaces. Fourier integral operators will be considered in Rn, the discrete group Zn, the n-dimensional torus and symmetric spaces (compact homogeneous manifolds). We also give formulae for the nuclear trace of these operators. Explicit examples will be given on Zn, the torus Tn, the special unitary group SU(2), and the projective complex plane CP2. Our main theorems will be applied to the characterization of r-nuclear pseudodifferential operators defined by the Weyl quantization procedure.
Dergi Türü : Uluslararası
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