Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 39, Number 1 (2015), 97-119.
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 the generalized functions on the Euclidean space by the initial value of the solutions of the heat equation.
Tsukuba J. Math., Volume 39, Number 1 (2015), 97-119.
First available in Project Euclid: 7 August 2015
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46F05: Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35] 46F15: Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15] 81S30: Phase-space methods including Wigner distributions, etc.
Oka, Yasuyuki. A characterization of the tempered distributions supported by a regular closed set in the Heisenberg group. Tsukuba J. Math. 39 (2015), no. 1, 97--119. doi:10.21099/tkbjm/1438951819. https://projecteuclid.org/euclid.tkbjm/1438951819