A unitary transform generalizing the Fourier transform is introduced to diagonalize the confluent hypergeometric kernel operator, proving a Paley-Wiener counterpart and unitary equivalence of the associated Wiener-Hopf analogue to the classical operator.
Simon, Operator Theory, Amer
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Unitary transform diagonalizing the Confluent Hypergeometric kernel
A unitary transform generalizing the Fourier transform is introduced to diagonalize the confluent hypergeometric kernel operator, proving a Paley-Wiener counterpart and unitary equivalence of the associated Wiener-Hopf analogue to the classical operator.