A generalization of the Itô formula.
A Hölder inequality for holomorphic functions.
A noise of new type and its generalized functionals
The purpose of this paper is to introduce a new noise denoted by P'(u). It has the space parameter u, being compared with the usual noise depending on the time t. We first explain why such a noise arises naturally. Then, we come to the analysis of functionals of this new noise. We shall emphasize the significance of generalized functionals of P'(u), in particular, linear and quadratic.
An extension of the Clark-Ocone formula.
Axioms for quantum probability