Advances in Non-Archimedean Analysis

Helge Glockner, Universitat Paderborn, Germany.Alain Escassut, Universite Blaise Pascal, Aubiere, France.Khodr Shamseddine, University of Manitoba, Winnipeg, Manitoba, Canada.

• Compact self-adjoint operators on free Banach spaces of countable type by J. Aguayo and M. NovaFundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension by O. F. Casas-Sanchez, J. Galeano-Penaloza, and J. J. Rodriguez-VegaSpectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space by T. Diagana and F. RamarosonUltrametric continuous linear representations of the compact groups $SL(2,\mathbb{Z}_p)$ and $GL(2,\mathbb{Z}_p)$ by B. Diarra and T. MounkoroSurvey on the $p$-adic Hayman conjecture by A. Escassut and J. OjedaInvariant manifolds for finite-dimensional non-Archimedean dynamical systems by H. GlocknerOn non-Archimedean quantitative compactness theorems by J. Kakol and A. KubzdelaLarge linear spaces of invertible operators on a Banach space by H. A. KellerApplications of $p$-adic numbers: from physics to geology by A. Y. Khrennikov, K. Oleschko, and D. J. C. Correa LopezAn alternative proof of the non-Archimedean Montel theorem for polynomial dynamics by J. LeeNew identities and congruences for Euler numbers by H. MaigaOn some transcendental values of the $p$-adic gamma function by H. Menken and A. AsanThe implicit function theorem on a field $K$ with an infinite rank valuation by H. M. MorenoFractional differentiability and unitarity on parabolic inductions by E. NagelWim Schikhof: our colleague and friend by H. Ochsenius, E. Olivos, and C. Perez-GarciaSolvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring by A. PulitaA note on Banach spaces over a rank 1 discretely valued field by W. H. Schikhof and E. OlivosMeasure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field by K. Shamseddine and D. FlynnOn complemented subspaces of non-Archimedean generalized power series spaces by W. Sliwa and A. Ziemkowska