Eigenfunctions of Macdonald's q-difference operator for the root system of type Cn
Abstract
We construct an integral representation of eigenfunctions for Macdonald's q-difference operator associated with the root system of type Cn . 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 Cn .
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.