Abstract

Exact propagators are obtained for the degenerate second order hyperbolic operators ∂2t-t2lΔx, l=1,2,..., by analytic continuation from the degenerate elliptic operators ∂2t+t2lΔx. The partial Fourier transforms are also obtained in closed form, leading to integral transform formulas for certain combinations of Bessel functions and modified Bessel functions.

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