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On Sets of Singular Rotations for Translation Invariant Bases

2015/10/15 by Kakha Chubinidze, K. A. Chubinidze, Chubinidze, K. A.
Engineering · Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Elasticity and Wave Propagation #FOS: Mathematics #Mathematics and Applications #math.AP

paper · pdf · doi:10.48550/arxiv.1510.04667

arxiv created 2015/10/15 · openalex publication_date 2015/10/15 · arxiv updated 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ∫ 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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