Analysis of propagator continuity for the Laguerre operator establishes well-posedness of associated Cauchy problems, relates them to the harmonic oscillator, and links fractional integral transforms within Pilipović spaces.
Namias, Fractionalization of Hankel Transforms, IMA Journal of Applied Mathematics, 26(2), (1980), 187-197
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Continuity properties of the Laguerre operator and its propagator
Analysis of propagator continuity for the Laguerre operator establishes well-posedness of associated Cauchy problems, relates them to the harmonic oscillator, and links fractional integral transforms within Pilipović spaces.