Eigenfunctions of the Gaussian-weighted X-ray normal operator are joint eigenfunctions of the harmonic oscillator and spherical Laplacian, with spectrum related to 1-cusp elliptic pseudodifferential operators.
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Gaussian-weighted normal operators on Euclidean space
Eigenfunctions of the Gaussian-weighted X-ray normal operator are joint eigenfunctions of the harmonic oscillator and spherical Laplacian, with spectrum related to 1-cusp elliptic pseudodifferential operators.