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On the Structure of Hyperfunctions with Compact Supports
1971
Proceedings of the Japan Academy
We discuss an analogue of the classical structure theorem of distributions on a compact set. We mainly treat the case of one variable (n=1). The case of several variables with some applications will be discussed by a somewhat different method in a paper under preparation (see [3]). Theorem 1. Let u be a hyperf unction o f one variable with support in the interval K= [a, b]. Then u can be expressed as follows: 2, 3 are measures with supports in [a, b], and J(D), i=1, 2, 3 are local operators
doi:10.2183/pjab1945.47.supplementii_956
fatcat:hjg4ipeqxrba3evrccurqa3x5u