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Bibliographic Details
Main Authors: Amaba, Takafumi, Kratz, Marie
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.07665
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Table of Contents:
  • In this paper, we investigate the regularization effects, in the sense of Malliavin calculus, on functionals of Gaussian processes induced by time integration, focusing on their covariance functions. We study several examples of important covariance functions classes to verify whether they satisfy the sufficient conditions proposed for regularization. Additionally, we derive a weak implication for the smoothness of level-crossing functionals.