Elements of Wiener Analysis

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We introduce some basic elements of Malliavin calculus also called stochastic calculus of variations by P. Malliavin himself. The fundamental operators are the Malliavin derivative (or gradient) and the divergence operator (Skorohod integral) which is a functional analysis extension of Itô integral. We also express the stochastic integrals via regularization with these operators.

Original languageEnglish
Title of host publicationBocconi and Springer Series
PublisherSpringer-Verlag Italia s.r.l.
Pages333-371
Number of pages39
DOIs
Publication statusPublished - 1 Jan 2022

Publication series

NameBocconi and Springer Series
Volume11
ISSN (Print)2039-1471
ISSN (Electronic)2039-148X

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