Article ID Journal Published Year Pages File Type
4624430 Transactions of A. Razmadze Mathematical Institute 2016 6 Pages PDF
Abstract

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

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Physical Sciences and Engineering Mathematics Analysis
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