A CHARACTERIZATION OF THE TEMPERED DISTRIBUTIONS SUPPORTED BY A REGULAR CLOSED SET IN THE HEISENBERG GROUP

A CHARACTERIZATION OF THE TEMPERED DISTRIBUTIONS SUPPORTED BY A REGULAR CLOSED SET IN THE HEISENBERG GROUP

The aim of this paper is to give a characterization of the tempered distributions supported by a (Whitney's) regular closed set in the Euclidean space and the Heisenberg group by means of the heat kernel method. The heat kernel method, introduced by T. Matsuzawa, is the method to characterize t...

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Veröffentlicht in:Tsukuba journal of mathematics 2015-07, Vol.39 (1), p.97-119
1. Verfasser: Oka, Yasuyuki
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description The aim of this paper is to give a characterization of the tempered distributions supported by a (Whitney's) regular closed set in the Euclidean space and the Heisenberg group by means of the heat kernel method. The heat kernel method, introduced by T. Matsuzawa, is the method to characterize the generalized functions on the Euclidean space by the initial value of the solutions of the heat equation.
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title A CHARACTERIZATION OF THE TEMPERED DISTRIBUTIONS SUPPORTED BY A REGULAR CLOSED SET IN THE HEISENBERG GROUP
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