Open AccessConditionally Positive Definite Hyperfunctions
Author(s) -
Jaeyoung Chung,
Dohan Kim
Publication year - 2005
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1145475360
Subject(s) - mathematics , pure mathematics
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 GelfandVilenkin in [GV] and our version of Bochner–Schwartz theorem for (Fourier) hyperfunctions in [CCK2, CK1].
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