For r>2, an explicit operator identity (Tesler identity) relates each wreath Macdonald polynomial to a delta function and yields Macdonald-Koornwinder duality, evaluation, interpolation, Kostka, and bispectral results.
Wreath M acdonald polynomials and the categorical M c K ay correspondence
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Tesler identities for wreath Macdonald polynomials
For r>2, an explicit operator identity (Tesler identity) relates each wreath Macdonald polynomial to a delta function and yields Macdonald-Koornwinder duality, evaluation, interpolation, Kostka, and bispectral results.