2024-04-262024-04-262024-03-29Castro Smirnova, M.M. y Grünbaum, F.A. (2024). A new commutativity property of exceptional orthogonal polynomials. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 118 (81). https://doi.org/10.1007/s13398-024-01570-7.1578-73031579-1505https://hdl.handle.net/11441/157174We exhibit three examples showing that the “time-and-band limiting” commutative property found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960s, and independently by M. Mehta and later by C. Tracy and H. Widom in Random matrix theory, holds for exceptional orthogonal polynomials. The property in question is the existence of local operators with simple spectrum that commute with naturally appearing global ones. We illustrate numerically the advantage of having such a local operator.application/pdf20 p.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Time-band limitingExceptional orthogonal polynomialsBispectral propertyinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s13398-024-01570-7