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Discrepancy of Weyl Sequences \((n\alpha )\) Perturbed by Rationally Periodic Functions
In this paper, we investigate the quantitative measure of uniform distribution of Weyl sequences perturbed by rationally periodic functions, such as
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Shape Holomorphy of the Calderón Projector for the Laplacian in \({\mathbb {R}}^2\)
We establish the holomorphic dependence of the boundary integral operators (BIOs) comprising the Calderón projector for the Laplacian in two...
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Cyclical Deformations of Quadrangles in \(S_\kappa^2\) and Defining Properties of Alexandrov Spaces
This paper is mainly devoted to proving the four equivalent defining properties of a CBA( κ ) space. The proof is based on an interesting tool we...
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Local singular characteristics on \(\mathbb {R}^2\)
The singular set of a viscosity solution to a Hamilton–Jacobi equation is known to propagate, from any noncritical singular point, along singular...
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Lattice Paths and Submonoids of \(\mathbb Z^2\)
We study a number of combinatorial and algebraic structures arising from walks on the two-dimensional integer lattice. To a given step set
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