English

Completely regular multivariate stationary process and the Muckenhoupt condition

Probability 2007-05-23 v1

Abstract

We give necessary and sufficient conditions for a multivariate stationary stochastic process to be completely regular. We also give the answer to a question of V.V. Peller concerning the spectral measure characterization of such processes.

Keywords

Cite

@article{arxiv.math/9712279,
  title  = {Completely regular multivariate stationary process and the Muckenhoupt condition},
  author = {Sergei Treil and Alexander Volberg},
  journal= {arXiv preprint arXiv:math/9712279},
  year   = {2007}
}