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P-adic analysis and mathematical physics

By: Contributor(s): Material type: TextTextLanguage: English Series: Series on Soviet & East European Mathematics ; 1Publication details: Singapore World Scientific 1994Description: xviii, 319pISBN:
  • 9810208804 (HB)
Subject(s):
Contents:
I. The Field of p-A dic Numbers II. Analytic Functions III. Additive and Multiplicative Characters IV. Integration Theory V. The Gaussian Integrals VI. Generalized Functions (Distributions) VII. Convolution and the Fourier Transformation VIII. Homogeneous Generalized Functions IX. The Operator [actual symbol not reproducible] X. p-Adic Schrodinger Operators XI. p-Adic Quantum Mechanics XII. Spectral Theory in p-Adic Quantum Mechanics XIII. Weyl Systems. Infinite Dimensional Case XIV. p-Adic Strings XV. q-Analysis (Quantum Groups) and p-Adic Analysis XVI. Stochastic Processes over the Field of p-Adic Numbers.
Summary: Provides an elementary 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.225.1(082)"2019" VLA (Browse shelf(Opens below)) Available 30616

Includes bibliography (p. 302-319) and references

I. The Field of p-A dic Numbers II. Analytic Functions III. Additive and Multiplicative Characters IV. Integration Theory V. The Gaussian Integrals VI. Generalized Functions (Distributions) VII. Convolution and the Fourier Transformation VIII. Homogeneous Generalized Functions IX. The Operator [actual symbol not reproducible] X. p-Adic Schrodinger Operators XI. p-Adic Quantum Mechanics XII. Spectral Theory in p-Adic Quantum Mechanics XIII. Weyl Systems. Infinite Dimensional Case XIV. p-Adic Strings XV. q-Analysis (Quantum Groups) and p-Adic Analysis XVI. Stochastic Processes over the Field of p-Adic Numbers.

Provides an elementary 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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The Institute of Mathematical Sciences, Chennai, India