Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches.
Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content.
Contact email@example.com with any questions.
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex -matrix. Both independent Baxter’s -operators are constructed explicitly as seria over local Weyl generators. The operator-valued Wronskian of -matrix. Both independent Baxter’s is also calculated.
When is a quasi-definite moment functional with the monic orthogonal polynomial system , we consider a point masses perturbation of given by , where , and are constants with for . That is, is a generalized Uvarov transform of satisfying , where . We find necessary and sufficient conditions for to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system relative to including two examples.