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Characterization of Hida Measures in white noise analysis

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

math.FAarXiv:math/0104138

Abstract

The main purpose of this work is to prove Theorem 4.4, so-called, the characterization theorem of Hida measures (generalized measures). As examples of such measures, we shall present the Poisson noise measure and the Grey noise measure in Example 4.5 and 4.6, respectively.

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