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Eigenfunctions of Macdonald'sq-Difference Operator for the Root System of TypeCn

✍ Scribed by Katsuhisa Mimachi

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 104 KB
Volume: 163
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1998.3387

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✦ Synopsis

We construct an integral representation of eigenfunctions for Macdonald's q-difference operator associated with the root system of type C n . It is given in terms of a restriction of a q-Jordan Pochhammer integral. Choosing a suitable cycle of the integral, we obtain an integral representation of a special case of the Macdonald polynomial for the root system of type C n .

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