Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi, “Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications”, SIGMA, 2009, том 5,054, 40 стр.

Эта публикация цитируется в 35 статьях

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Yasushi Komori^a, Masatoshi Noumi^b, Jun'ichi Shiraishi^c

^a Graduate School of Mathematics, Nagoya University, Chikusa-Ku, Nagoya 464-8602, Japan
^b Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
^c Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153-8914, Japan

Аннотация: A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type $A$ and of type $BC$. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.

Ключевые слова: kernel function; Ruijsenaars operator; Koornwinder polynomial.

MSC: 81R12; 33D67

Поступила: 1 декабря 2008 г.; в окончательном варианте 30 апреля 2009 г.; опубликована 12 мая 2009 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2009.054