On a uniqueness theorem of E. B. Vul
arXiv:1903.01749 · doi:10.1007/s00365-020-09505-2
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.
11pp. v2: fixed several inaccuracies. v3: fixed typos and inaccuracies; removed redundant absolute continuity assumptions in the corollaries. To appear in Constr. Approx