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Using the technique of integration within an ordered product of operators, we reveal that a new quantum mechanical representation ｜x, μ,v〉exists, the eigenvector of operator μQ + νP (linear combination of coordinate Q and momentum P) with eigenvalue x, which is inherent to the two-parameter (μ, ν) Radon transformation of the Wigner operator. It tus out that the projection operator ｜x,μ,ν>
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