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Weyl pair, current algebra and shift operator

✍ Scribed by Zhan-Ning Hu


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
339 KB
Volume
197
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES


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In this paper we give another characterization of the strictly nilpotent elements in the Weyl algebra, which (apart from the polynomials) turn out to be all bispectral operators with polynomial coefficients. This also allows to reformulate in terms of bispectral operators the famous conjecture, that

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✍ M. GΓΌrdal πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 277 KB

In the present paper we consider the shift operator S on the Wiener algebra W (D) of analytic functions on the unit disc D of the complex plane C. A complex number Ξ» is called an extended eigenvalue of S if there exists a nonzero operator A satisfying the equation AS = Ξ»SA. We prove that the set of