Abstract
In the first part of the paper we prove a decomposition theorem for positive definite functions (Theorem 2.3) generalizing a result of de Leeuw and Glicksberg. Using this theorem, we then show (Theorem 3.1) that certain norm dependent positive definite functions are automatically continuous at every point different from zero.
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References
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Sasvári, Z. On norm dependent positive definite functions. Monatshefte für Mathematik 120, 319–325 (1995). https://doi.org/10.1007/BF01294864
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DOI: https://doi.org/10.1007/BF01294864