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Spherical Harmonics, the Weyl Transform and the Fourier Transform on the Heisenberg Group
In the early days of quantum mechanics, Weyl asked the following question. Let λ be a non-zero real number, ℋ a separable Hilbert space. Given certain (unbounded) operators W 1 ,…, W n , W 1 + , …, W n + on ℋ satisfying (on a dense subspace D …