Geodesic
On a semigroup of measures with irregular densities
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 85-99.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm-83-1-85-99

Przemysław Gadziński 1

1 
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Przemysław Gadziński. On a semigroup of measures with irregular densities. Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 85-99. doi : 10.4064/cm-83-1-85-99. http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-85-99/

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