Vladimir G. Berkovich

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground...

Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed...