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
Hilbert’s irreducibility theorem for linear differential operators
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2024.2448247
Abstract: Abstract We prove a differential analogue of Hilbert’s irreducibility theorem. Let L be a linear differential operator with coefficients in C(X)(x) that is irreducible over C(X)¯(x), where X is an irreducible affine algebraic variety over… read more here.
Keywords: hilbert irreducibility; linear differential; theorem linear; irreducibility theorem ... 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