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Integral Representations of the Macdonald Symmetric Functions

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arxiv q-alg/9506006 v4 pith:TLPB7T3I submitted 1995-06-08 q-alg hep-thmath.QA

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keywords 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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  1. Ruijsenaars spectral transform

    math-ph 2024-11 reject novelty 6.0 of 10

    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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