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arXiv · 1510.04667

On Sets of Singular Rotations for Translation Invariant Bases

K. A. Chubinidze
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Abstract

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

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K. A. Chubinidze. 2015-10-15. On Sets of Singular Rotations for Translation Invariant Bases. https://arxiv.org/abs/1510.04667

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