Completeness of SoV Representation for SL(2, ℝ) Spin Chains

This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank one quantum integrable models. We examine in...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Derkachov, Sergey É., Kozlowski, Karol K., Manashov, Alexander N.
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211360
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Completeness of SoV Representation for SL(2, ℝ) Spin Chains. Sergey É. Derkachov, Karol K. Kozlowski and Alexander N. Manashov. SIGMA 17 (2021), 063, 26 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine