Contents

Preface ix

Non-archimedean integral operators on the space of continuous functions

JOSE AGUAYO AND MIGUEL NOVA

1

Isomorphisms with small bound between spaces of p-adic continuous

functions

JESUS ARAUJO

17

Automatic continuity of basis separating maps

EDWARD BECKENSTEIN AND LAWRENCE NARICI

29

Cauchy theory on Levi-Civita fields

MARTIN BERZ

39

Uniqueness problems and applications of the ultrametric Nevanlinna theory

ABDELBAKI BOUTABAA AND ALAIN ESCASSUT

53

The Hopf algebra structure of the space of continuous functions on power

series over IF

q

and Carlitz polynomials

BERTIN DIARRA

75

Metrizability of compactoid sets in non-archimedean Hausdorff (LM)-spaces

N. DE GRANDE-DE KIMPE, J. K4KOL, AND

C.

PEREZ-GARCIA

99

Strict topologies and vector-measures on non-archimedean spaces

A.

K.

KATSARAS

109

p-adic spaces with strict topologies as topological algebras

A.

K.

KATSARAS AND

C.

G. PETALAS

131

Non-archimedean stochastic processes

ANDREI KHRENNIKOV AND SERGEI LUDKOVSKY

139

The asymptotic number of periodic points of discrete polynomial p-adic

dynamical systems

ANDREI KHRENNIKOV, MARCUS NILSSON, AND ROBERT NYQVIST

159

Analysis and probability over infinite extensions of a local field, II: A

multiplicative theory

ANATOLY N. KOCHUBEI

167

vii