Matrix Bispectrality and Noncommutative Algebras: beyond the prolate spheroidals
| Autor: | Gr��nbaum, F. Alberto, Vasquez, Brian D., Zubelli, Jorge P. |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Mathematics - Functional Analysis
Nonlinear Sciences::Exactly Solvable and Integrable Systems Physics::Plasma Physics Mathematics::Quantum Algebra FOS: Mathematics Mathematics::Classical Analysis and ODEs Mathematics - Operator Algebras Mathematics::Mathematical Physics Operator Algebras (math.OA) Functional Analysis (math.FA) |
| Popis: | The bispectral problem is motivated by an effort to understand and extend a remarkable phenomenon in Fourier analysis on the real line: the operator of time-and-band limiting is an integral operator admitting a second-order differential operator with a simple spectrum in its commutator. In this article, we discuss a noncommutative version of the bispectral problem, obtained by allowing all objects in the original formulation to be matrix-valued. Deep attention is given to bispectral algebras and their presentations as a tool to get information about bispectral triples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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