Lett. Math. Phys. 106, 545-555 (2016) [DOI: 10.1007/s11005-016-0831-0]
Dispersion Estimates for the Discrete Laguerre Operator
We derive an explicit expression for the kernel of the evolution group exp(-i t H0) of the discrete Laguerre operator H0 (i.e. the Jacobi operator associated with the Laguerre polynomials) in terms of Jacobi polynomials. Based on this expression we show that the norm of the evolution group acting from l1 to l∞ is given by (1+t2)-1/2.