A characterization of tempered distributions with support in a cone by the heat kernel method and its applications

J. Math. Sci. Univ. Tokyo
Vol. 11 (2004), No. 1, Page 75--90.

Suwa, Masanori; Yoshino, Kunio
A characterization of tempered distributions with support in a cone by the heat kernel method and its applications
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Abstract:
We will characterize the space of tempered distributions with support in a proper convex cone by the heat kernel method. As applications we give a new proof of the Paley-Wiener's theorem and the Edge-of-the-Wedge theorem for tempered distributions supported by a proper convex cone.

Mathematics Subject Classification (2000): 46F20, 46F15.
Mathematical Reviews Number: MR2044913

Received: 2002-07-30