English

On Sets of Singular Rotations for Translation Invariant Bases

Analysis of PDEs 2015-10-16 v1

Abstract

It is studied the following problem: for a given function ff what kind of may be a set of all rotations γ\gamma for which f\int f is not differentiable with respect to γ\gamma-rotation of a given basis BB? In particular, for translation invariant bases on the plane it is found the topological structure of possible sets of singular rotations.

Keywords

Cite

@article{arxiv.1510.04667,
  title  = {On Sets of Singular Rotations for Translation Invariant Bases},
  author = {K. A. Chubinidze},
  journal= {arXiv preprint arXiv:1510.04667},
  year   = {2015}
}