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Introduction | ||
I | First Steps to Non-Archimedean | 1 |
II | The Gauss, Lebesgue and Feynman Distributions Over Non-Archimedean Fields | 31 |
III | The Gauss and Feynman Distributions on Infinite-Dimensional Spaces over Non-Archimedean Fields | 65 |
IV | Quantum Mechanics for Non-Archimedean Wave Functions | 85 |
V | Functional Integrals and the Quantization of Non-Archimedean Models with an Infinite Number of Degrees of Freedom | 107 |
VI | The p-Adic-Valued Probability Measures | 115 |
VII | Statistical Stabilization with Respect to p-adic and Real Metrics | 161 |
VIII | The p-adic Valued Probability Distributions (Generalized Functions) | 193 |
IX | p-Adic Superanalysis | 215 |
Bibliographical Remarks | 235 | |
Open Problems | 239 | |
App. 1. Expansion of Numbers in a Given Scale | 241 | |
App. 2. An Analogue of Newton's Method | 244 | |
App. 3. Non-Existence of Differential Maps from Q[subscript p] to R | 246 | |
Bibliography | 249 | |
Index | 263 |
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