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math.NT2021
On the structure of certain -difference modules
Ehud de Shalit, José Gutiérrez
This is a largely expository paper, providing a self-contained account on the results of [Sch-Si1, Sch-Si2], in the cases denoted there 2Q and 2M. These papers of Schäfke and Singe…
math.NT2018
Induction and restriction of (ϕ,Γ)-modules
Ehud de Shalit, Gal Porat
Let L be a non-archimedean local field of characteristic 0. We present a variant of the theory of (ϕ,Γ)-modules associated with Lubin-Tate groups, developed by Kisin and Ren [Ki-Re…
math.NT2016
Q-binomials and non-continuity of the p-adic Fourier transform
Amit Ophir, Ehud de Shalit
Let F be a finite extension of Q_p. We show that every Schwartz function on F, with values in an algebraic closure of Q_p, is the uniform limit of a sequence of Schwartz functions,…