White noise based stochastic calculus associated with a class of Gaussian processes

Using the white noise space setting, we define and study stochastic integrals with respect to a class of stationary increment Gaussian processes. We focus mainly on continuous functions with values in the Kondratiev space of stochastic distributions, where use is made of the topology of nuclear spac...

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Bibliographic Details
Main Authors: Daniel Alpay, Haim Attia, David Levanony
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2012-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3228.pdf