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math.CA2023
A framework for discrete bilinear spherical averages and applications to -improving estimates
Theresa C. Anderson, Angel V. Kumchev, Eyvindur A. Palsson
We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging o…
math.CA2023
On restricted Falconer distance sets
José Gaitan, Allan Greenleaf, Eyvindur Ari Palsson +1
We introduce a class of Falconer distance problems, which we call of restricted type, lying between the classical version and its pinned variant. Prototypical restricted distance s…