A generalized white noise space approach to stochastic integration for a class of Gaussian stationary increment processes

Given a Gaussian stationary increment processes, we show that a Skorokhod-Hitsuda stochastic integral with respect to this process, which obeys the Wick-Itô calculus rules, can be naturally defined using ideas taken from Hida's white noise space theory. We use the Bochner-Minlos theorem to asso...

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Bibliographic Details
Main Authors: Daniel Alpay, Alon Kipnis
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2013-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol33/3/art/opuscula_math_3325.pdf