著者

Soon-Yeong Chung Dohan Kim Sung Ki Kim

出版者

Faculty of Science, The University of Tokyo

雑誌

Journal of The Faculty of Science, The University of Tokyo, Section IA, Mathematics (ISSN:00408980)

巻号頁・発行日

vol.40, no.1, pp.63-71, 1993

著者

Kwang Whoi Kim Soon-Yeong Chung Dohan Kim

出版者

Research Institute forMathematical Sciences

雑誌

Publications of the Research Institute for Mathematical Sciences (ISSN:00345318)

巻号頁・発行日

vol.29, no.2, pp.289-300, 1993 (Released:2009-01-22)

参考文献数

18

被引用文献数

34

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We show that if a C∞-solution u(x, t) of heat equation in R+n+1 does not increase faster than exp[ε(\frac{1}{t}+|x|)] then its boundary value determines a unique Fourier hyperfunction. Also, we prove the decomposition theorem for the Fourier hyper functions. These results generalize the theorems of T. Kawai and T. Matsuzawa for Fourier hyperfunctions and solve a question given by A. Kaneko.