P-Adic Functional Analysis

A.K. Katsaras, W.H. Schikhof, L. Van Hamme

• Publisher: CRC Press
• Year: 2001
• eBook ISBN: 9781135555955
• Edition: 0
• Topic: Mathematics
• Subtopic: Functional Analysis
• Index: Mathematics

Diffractional Optics of Millimetre Waves combines those elements of diffraction theory normally associated with optics, including Gaussian beams, lenses, and mirrors, and extends them into the micro- and millimetre wavelength range. In this regime there are a number of applications in devices, such as automobile proximity sensors, satellite-TV receiving antennae, and non-destructive testing systems. Researchers working in these areas would benefit from greater understanding of the diffraction phenomena involved. A translated and updated version of the authors' book Diffraction Quasioptics, this book will present results formerly unavailable in the general literature.

Table of contents

• Cover Page
• Halftitle Page
• PURE AND APPLIED MATHEMATICS
• LECTURE NOTES IN PURE AND APPLIED MATHEMATICS
• Title Page
• Copyright Page
• Preface
• Contents
• Contributors
• Non-archimedean vector measures and integral operators
• A new version of the nonarchimedean Banach-Stone theorem
• Analytical and Computational Methods for the Levi-Civita Field
• An interpretation of analytic functions
• Applications of the p-adic Nevanlinna Theory
• About a Tsuzuki theorem
• Continuous coderivations of complete ultrametric Hopf algebras
• Some p-adic differential equations
• Orthogonal and Schauder bases in non-archimedean locally convex spaces
• Topological Transitivity for p-adic Dynamical Systems
• Some congruences involving the p-adic gamma function and some arithmetical consequences
• On p-adic locally convex spaces
• Integral Representations of Continuous Linear Operators on p-adic Function Spaces
• On the commutation relation AB-BA=I for operators on non-classical Hilbert spaces
• Probability measures on non-Archimedean inner product spaces
• Isometric Embedding of Ultrametric (non-Archimedean) Spaces in Hilbert Space and Lebesgue Space
• Metrizability of some analytic affine spaces
• Some properties of certain sequence spaces over non-archimedean fields
• Distribution of cycles of monomial p-adic dynamical systems
• Some Dynamical Systems in Finite Field Extensions of the p-adic Numbers
• An approximation theorem for p-adic linear forms
• Spectral radius of a derivation and algebraic extensions
• On the roots of a p-adic rational function
• Convergence on the Levi-Civita Field and Study of Power Series *
• Compact perturbations of p-adic operators with finite codimensional range
• Umbral Calculus in Non-Archimedean Analysis