Chapter 7: A Further Look at Time-and-Band Limiting for Matrix Orthogonal Polynomials

CASTRO MIRTA; GRÜNBAUM ALBERTO; PACHARAONI INÉS; ZURRIÁN IGNACIO

Frontiers in Orthogonal Polynomials and q-Series

World Scientific Publishing Co

Año: 2018; p. 139 - 153

We extend to a situation involving matrix-valued orthogonal polynomials, a scalar result that originates in work of Shannon and a ground-breaking series of papers by Slepian, Landau and Pollak at Bell Labs in the 1960s. While these papers feature integral and differential operators acting on scalar-valued functions, we are dealing here with integral and differential operators acting on matrix-valued functions.