کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4666076 | 1633850 | 2013 | 44 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Orthogonality relations and Cherednik identities for multivariable Baker–Akhiezer functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Orthogonality relations and Cherednik identities for multivariable Baker–Akhiezer functions Orthogonality relations and Cherednik identities for multivariable Baker–Akhiezer functions](/preview/png/4666076.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 238, 1 May 2013, Pages 246–289
Journal: Advances in Mathematics - Volume 238, 1 May 2013, Pages 246–289
نویسندگان
Oleg Chalykh, Pavel Etingof,