English

A uniqueness theorem of additive functions and applications to some orthogonal series

Functional Analysis 2014-06-10 v1

Abstract

The restoration of an additive function defined on P parallelepipeds via its derivative with respect to P parallelepipeds is studied. The obtained theorem is applied to the questions of uniqueness of multiple series with regard to Haar and Price systems.

Keywords

Cite

@article{arxiv.1406.1950,
  title  = {A uniqueness theorem of additive functions and applications to some orthogonal series},
  author = {K. A. Keryan},
  journal= {arXiv preprint arXiv:1406.1950},
  year   = {2014}
}

Comments

in Russian