Conditionally Positive Definite Hyperfunctions
Jaeyoung Chung
Kunsan National University, South KoreaDohan Kim
Seoul National University, South Korea
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Abstract
Making use of the heat kernel method we define a conditionally positive definite hyperfunction and obtain a Bochner–Schwartz type theorem for hyperfunctions which generalizes both the Bochner–Schwartz type theorem for distributions of Gelfand-Vilenkin in [GV] and our version of Bochner–Schwartz theorem for (Fourier) hyperfunctions in [CCK2, CK1].
Cite this article
Jaeyoung Chung, Dohan Kim, Conditionally Positive Definite Hyperfunctions. Publ. Res. Inst. Math. Sci. 41 (2005), no. 2, pp. 385–396
DOI 10.2977/PRIMS/1145475360