On a semigroup of measures with irregular densities

Gadziński, Przemysław

Colloquium Mathematicae, Tome 84/85 (2000), p. 85-99 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $C^{\infty}$ . We give explicit spectral decomposition of images of $- X^{2} + | Y |$ in representations.

Publié le : 2000-01-01

Zbl 0960.22005

EUDML-ID : urn:eudml:doc:210776

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     author = {Przemys\l aw Gadzi\'nski},
     title = {On a semigroup of measures with irregular densities},
     journal = {Colloquium Mathematicae},
     volume = {84/85},
     year = {2000},
     pages = {85-99},
     zbl = {0960.22005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p85bwm}
}

Gadziński, Przemysław. On a semigroup of measures with irregular densities. Colloquium Mathematicae, Tome 84/85 (2000) pp. 85-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p85bwm/

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