On small balls problem for stable measures in a Hilbert space

TL;DR

This paper revisits and presents historical results from 1977 on small ball probabilities for stable measures in a Hilbert space, highlighting their relevance and comparability with recent findings.

Contribution

It uncovers and discusses previously unpublished 1977 results on small ball probabilities for stable measures in Hilbert spaces, emphasizing their ongoing significance.

Findings

Historical results are comparable with recent ones.

Unpublished 1977 results are relevant today.

Provides insight into small ball probabilities in Hilbert spaces.

Abstract

In the paper the old results on probabilities of small balls for stable measures in a Hilbert space, obtained in 1977 and remaining unpublished, are presented. Apart of historical value these results are interesting even now, since they are comparable with recently obtained ones.