JournalsprimsVol. 41 , No. 2DOI 10.2977/prims/1145475360

Conditionally Positive Definite Hyperfunctions

  • Dohan Kim

    Seoul National University, South Korea
  • Jaeyoung Chung

    Kunsan National University, South Korea
Conditionally Positive Definite Hyperfunctions cover

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 GelfandVilenkin in [GV] and our version of Bochner–Schwartz theorem for (Fourier) hyperfunctions in [CCK2, CK1].