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A calculus approach to hyperfunctions III

Published online by Cambridge University Press:  22 January 2016

Tadato Matsuzawa*
Affiliation:
Department of Mathematics, Meijo University, Tenpaku-kn, Nagoya 468, Japan
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In the previous papers, [18] and [19], we have given some basis of a calculus approach to hyperfunctions. We have taken hyperfunctions with the compact support as initial values of the solutions of the heat equation. More precisely, let A′[K] be the space of analytic functionals supported by a compact subset K of Rn and let E(x, t) be the n-dimensional heat kernel given by

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990