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. Nova
Fundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension by O. F. Casas-Sanchez, J. Galeano-Penaloza, and J. J. Rodriguez-Vega
Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space by T. Diagana and F. Ramaroson
Ultrametric continuous linear representations of the compact groups $SL(2,/mathbb{Z}_p)$ and $GL(2,/mathbb{Z}_p)$ by B. Diarra and T. Mounkoro
Survey on the $p$-adic Hayman conjecture by A. Escassut and J. Ojeda
Invariant manifolds for finite-dimensional non-Archimedean dynamical systems by H. Glockner
On non-Archimedean quantitative compactness theorems by J. Kakol and A. Kubzdela
Large linear spaces of invertible operators on a Banach space by H. A. Keller
Applications of $p$-adic numbers: from physics to geology by A. Y. Khrennikov, K. Oleschko, and D. J. C. Correa Lopez
An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics by J. Lee
New identities and congruences for Euler numbers by H. Maiga
On some transcendental values of the $p$-adic gamma function by H. Menken and A. Asan
The implicit function theorem on a field $K$ with an infinite rank valuation by H. M. Moreno
Fractional differentiability and unitarity on parabolic inductions by E. Nagel
Wim Schikhof: our colleague and friend by H. Ochsenius, E. Olivos, and C. Perez-Garcia
Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring by A. Pulita
A note on Banach spaces over a rank 1 discretely valued field by W. H. Schikhof and E. Olivos
Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field by K. Shamseddine and D. Flynn
On complemented subspaces of non-Archimedean generalized power series spaces by W. Sliwa and A. Ziemkowska