**Contemporary Mathematics**

Volume: 508;
2010;
269 pp;
Softcover

MSC: Primary 46; 11; 12; 16; 32; 30; 47;

Print ISBN: 978-0-8218-4740-4

Product Code: CONM/508

List Price: $94.00

Individual Member Price: $75.20

**Electronic ISBN: 978-0-8218-8187-3
Product Code: CONM/508.E**

List Price: $94.00

Individual Member Price: $75.20

# Advances in $p$-adic and Non-Archimedean Analysis

Share this page *Edited by *
*Martin Berz; Khodr Shamseddine*

This volume contains the proceedings of the Tenth International
Conference on \(p\)-adic and Non-Archimedean Analysis, held at
Michigan State University in East Lansing, Michigan, on June
30–July 3, 2008.

This volume contains a kaleidoscope of papers based on several of
the more important talks presented at the meeting. It provides a
cutting-edge connection to some of the most important recent
developments in the field. Through a combination of survey papers,
research articles, and extensive references to earlier work, this
volume allows the reader to quickly gain an overview of current
activity in the field and become acquainted with many of the recent
sub-branches of its development.

#### Table of Contents

# Table of Contents

## Advances in $p$-adic and Non-Archimedean Analysis

- Contents v6 free
- Preface vii8 free
- Strict topologies on spaces of vector-valued continuous functions over non-Archimedean field 112 free
- Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra 1324
- The ultrametric corona problem 3546
- Vector-valued p-adic measures 4758
- On the Clifford algebra of orthomodular spaces over Krull valued fields 7384
- Divergence and convergence of conjugacies in non-Archimedean dynamics 89100
- A criterion for the invertibility of Lipschitz operators on type separating spaces 111122
- On monomial dynamical systems on the p-adic n-torus 121132
- On the value group and norms of a Form Hilbert space 133144
- Compact perturbations of Fredholm operators on Norm Hilbert spaces over Krull valued fields 147158
- Applications of the p-adic Nevanlinna theory to problems of uniqueness 161172
- Tensor products of p-adic locally convex spaces having the strongest locally convex topology 181192
- Tensor products of p-adic measures 187198
- p-adic arithmetic coding 201212
- Analysis on the Levi-Civita field, a brief overview 215226
- Criteria for non-repelling fixed points 239250
- A p-adic q-deformation of the Weyl algebra, for q a pN-th root of unity 253264

#### Readership

Graduate students and research mathematicians interested in non-archimedian analysis.