- WHITE NOISE HYPERFUNCTIONS
- Chung, Soon-Yeong ; Lee, Eun-Gu ;
- Communications of the Korean Mathematical Society, volume 14, issue 2, 1999, Pages 329~336
Abstract
We construct the Gelfand triple based on the space \ulcorner, introduced by Sato and di Silva, of analytic and exponentially decreasing function. This space denoted by(\ulcorner) of white noise test functionals are defined by the operator cosh \ulcorner, A=-(\ulcorner)\ulcorner+x\ulcorner+1. We also note that many properties like generalizations of the Paley-Wiener theorem and the Bochner-Schwartz theorem hold in this space as in the space of Hida distributions.