Displaying similar documents to “Successive reductions of a finite system of integral equations”

On a semigroup of measures with irregular densities

Przemysław Gadziński (2000)

Colloquium Mathematicae

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We study the densities of the semigroup generated by the operator - X 2 + | Y | on the 3-dimensional Heisenberg group. We show that the 7th derivatives of the densities have a jump discontinuity. Outside the plane x=0 the densities are C . We give explicit spectral decomposition of images of - X 2 + | Y | in representations.