A new class of $p$-adic Lipschitz functions and multidimensional Hensel's Lemma

Fausto Bolivar-Barbosa, Edwin León-Cardenal, J. J. Rodríguez-Vega

In this work we study $p$-adic continuous functions in several variables taking values on ${\mathbb{Z}}_p$. We describe the orthonormal van der Put base of these functions and study…