On the orthogonal expansion of iterated Stratonovich stochastic integrals
Probability
2025-11-17 v1 Functional Analysis
Abstract
We consider a class of functions for which the multiple Stratonovich stochastic integral or equivalent iterated Stratonovich stochastic integral with square integrable weights is defined by the orthogonal expansion. The equality of the trace of expansion coefficients matrix for these functions and the corresponding integral trace is established.
Keywords
Cite
@article{arxiv.2511.11474,
title = {On the orthogonal expansion of iterated Stratonovich stochastic integrals},
author = {Konstantin A. Rybakov},
journal= {arXiv preprint arXiv:2511.11474},
year = {2025}
}