Notes on the elliptic Ruijsenaars operators
type: Item
instance of: scholarly article
title: Notes on the elliptic Ruijsenaars operators
zbMATH Open document ID: 0949.47029
DOI: 10.1023/A:1007577231399
author: Yasushi Komori
published in: Letters in Mathematical Physics
publication date: 2000-02-27T00:00:00Z
review text: The properties of elliptic Ruijsenaars operators, \[ (H_i(k)f)(z)= \sum_{\substack{ I\subset (1,\dots, N)\\ |I|=1}} \Biggl(\pi{\theta_1(z_m- z_n- N)\over \theta_1(z_m- n_n)}\Biggr)\times f\Biggl(z+ k\Biggl( \sum_{m\in I} \varepsilon_m- i\sum_{m=1} \varepsilon_m/N\Biggr)\Biggr) \] are investigated. It is also shown that these operators can be extended to nonnegative selfadjoint operators on the Hilbert space without essential selfadjointness except in trigonometric limits.
reviewed by: B. M. Agrawal
Mathematics Subject Classification ID: 47B39
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 1269747
zbMATH Keywords: elliptic Ruijsenaars operators
zbMATH Keywords: selfadjoint operators
zbMATH Keywords: essential selfadjointness
MaRDI profile type: Publication
full work available at URL: a:1007577231399
OpenAlex ID: W63930791
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description: scientific article; zbMATH DE number 1269747