Kernels in the Fourier-invariant Sobolev space V(R^{2n}) guarantee that optical quantum tomograms and Wigner functions are correctly defined, continuous, integrable, and connected by the Radon transform.
Uber die Bestimmung von Funktionen durch ihre Integ ral- werte langs gewisser Mannigfaltigkeiten
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On definition of quantum tomography via the Sobolev embedding theorem
Kernels in the Fourier-invariant Sobolev space V(R^{2n}) guarantee that optical quantum tomograms and Wigner functions are correctly defined, continuous, integrable, and connected by the Radon transform.