A Cauchy-Davenport Theorem for Linear Maps
Sign Up to like & getrecommendations! Published in 2018 at "Combinatorica"
DOI: 10.1007/s00493-016-3486-7
Abstract: We prove a version of the Cauchy-Davenport theorem for general linear maps. For subsets A, B of the finite field $$\mathbb{F}_p $$Fp, the classical Cauchy-Davenport theorem gives a lower bound for the size of the… read more here.
Keywords: linear maps; theorem linear; davenport theorem; cauchy davenport ... See more keywords
The Hörmander multiplier theorem, I: The linear case revisited
Sign Up to like & getrecommendations! Published in 2017 at "Illinois Journal of Mathematics"
DOI: 10.1215/ijm/1520046207
Abstract: We discuss L(R) boundedness for Fourier multiplier operators that satisfy the hypotheses of the Hörmander multiplier theorem in terms of an optimal condition that relates the distance | 1 p − 1 2 | to… read more here.
Keywords: linear case; rmander multiplier; multiplier theorem; theorem linear ... See more keywords