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Orthogonality Relations and Cherednik Identities for Multivariable
| Content Provider | Semantic Scholar |
|---|---|
| Author | Etingof, Pavel |
| Copyright Year | 2013 |
| Abstract | We establish orthogonality relations for the Baker–Akhiezer (BA) eigenfunctions of the Macdonald difference operators. We also obtain a version of Cherednik–Macdonald–Mehta integral for these functions. As a corollary, we give a simple derivation of the norm identity and Cherednik–Macdonald–Mehta integral for Macdonald polynomials. In the appendix written by the first author, we prove a summation formula for BA functions. We also consider more general identities of Cherednik type, which we use to introduce and construct more general, twisted BA functions. This leads to a construction of new quantum integrable models of Macdonald–Ruijsenaars type. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dspace.mit.edu/openaccess-disseminate/1721.1/86396 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
