Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions
Abstract
In the previous paper we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this property and duality relation we prove orthogonality and completeness relations for the wave functions or, equivalently, unitarity of the corresponding integral transform.
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