A note of spaces of test and generalized functions of Poisson white noise

Mathematics – Probability

Scientific paper

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Scientific paper

The paper is devoted to construction and investigation of some riggings of
the $L^2$-space of Poisson white noise. A particular attention is paid to the
existence of a continuous version of a function from a test space, and to the
property of an algebraic structure under pointwise multiplication of functions
from a test space.

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