This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.
Author(s): A.K. Katsaras, W.H. Schikhof, L. Van Hamme
Series: Lecture Notes in Pure and Applied Mathematics
Edition: 1
Year: 2001
Language: English
Pages: 337
Preface......Page 10
Contents......Page 12
Contributors......Page 14
Non-archimedean vector measures and integral operators......Page 16
A new version of the nonarchimedean Banach-Stone theorem......Page 28
Analytical and Computational Methods for the Levi-Civita Field......Page 36
An interpretation of analytic functions......Page 50
Applications of the p-adic Nevanlinna Theory......Page 64
About a Tsuzuki theorem......Page 78
Continuous coderivations of complete ultrametric Hopf algebras......Page 90
Some p-adic differential equations......Page 106
Orthogonal and Schauder bases in non-archimedean locally convex spaces......Page 118
Topological Transitivity for p-adic Dynamical Systems......Page 142
Some congruences involving the p-adic gamma function and some arithmetical consequences......Page 148
On p-adic locally convex spaces......Page 154
Integral Representations of Continuous Linear Operators on p-adic Function Spaces......Page 176
On the commutation relation AB - BA = I for operators on non-classical Hilbert spaces......Page 192
Probability measures on non-Archimedean inner product spaces......Page 206
Isometric Embedding of Ultrametric (non-Archimedean) Spaces in Hilbert Space and Lebesgue Space......Page 218
Metrizability of some analytic affine spaces......Page 234
Some properties of certain sequence spaces over non-archimedean fields......Page 242
Distribution of cycles of monomial p-adic dynamical systems......Page 248
Some Dynamical Systems in Finite Field Extensions of the p-adic Numbers......Page 258
An approximation theorem for p-adic linear forms......Page 270
Spectral radius of a derivation and algebraic extensions......Page 276
On the roots of a p-adic rational function......Page 288
Convergence on the Levi-Civita Field and Study of Power Series *......Page 298
Compact perturbations of p-adic operators with finite codimensional range......Page 316
Umbral Calculus in Non- Archimedean Analysis......Page 324
