Orthogonality of Macdonald polynomials with unitary parameters

For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 276; no. 1-2; pp. 517 - 542
Main Authors van Diejen, J. F., Emsiz, E.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2014
Subjects
Mathematics
Mathematics and Statistics
Macdonald polynomials
Secondary 11C08
20C08
Primary 33D52
Root systems
Orthogonal polynomials
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Summary:For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-013-1211-4