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Integral Representations of the Macdonald Symmetric Functions
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representationsfunctionsintegralmacdonaldsymmetricbosonizationconstructedmultiple-integral
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Multiple-integral representations of the (skew-)Macdonald symmetric functions are obtained. Some bosonization schemes for the integral representations are also constructed.
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Ruijsenaars spectral transform
The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.
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