On a uniqueness theorem of E. B. Vul
Classical Analysis and ODEs
2021-09-28 v3 Complex Variables
Abstract
We recall a uniqueness theorem of E. B. Vul pertaining to a version of the cosine transform originating in spectral theory. Then we point out an application to the Bernstein approximation problem with non-symmetric weights: a theorem of Volberg is proved by elementary means.
Cite
@article{arxiv.1903.01749,
title = {On a uniqueness theorem of E. B. Vul},
author = {Sasha Sodin},
journal= {arXiv preprint arXiv:1903.01749},
year = {2021}
}
Comments
11pp. v2: fixed several inaccuracies. v3: fixed typos and inaccuracies; removed redundant absolute continuity assumptions in the corollaries. To appear in Constr. Approx