P-Adic Analysis and Mathematical Physics

By: VLADIMIROV V S

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Hardcover | 1 December 1993

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340 Pages

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22.86 x 15.24 x 2.06

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p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.

This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.

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Non-Fiction Science Physics Mathematical Physics Applied Physics Mathematics Number Theory Calculus & Mathematical Analysis Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Introduction
The Field of p-A dic Numbers	p. 1
Analytic Functions	p. 17
Additive and Multiplicative Characters	p. 30
Integration Theory	p. 38
The Gaussian Integrals	p. 54
Generalized Functions (Distributions)	p. 78
Convolution and the Fourier Transformation	p. 94
Homogeneous Generalized Functions	p. 116
The Operator [actual symbol not reproducible]	p. 143
p-Adic Schrodinger Operators	p. 167
p-Adic Quantum Mechanics	p. 204
Spectral Theory in p-Adic Quantum Mechanics	p. 226
Weyl Systems. Infinite Dimensional Case	p. 262
p-Adic Strings	p. 272
q-Analysis (Quantum Groups) and p-Adic Analysis	p. 290
Stochastic Processes over the Field of p-Adic Numbers	p. 293
Bibliography	p. 302
References	p. 309
Table of Contents provided by Blackwell. All Rights Reserved.

P-Adic Analysis and Mathematical Physics

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Hardcover

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