Ultrametric Pseudodifferential Equations and Applications

ISBN-13: 9781107188822 / Angielski / Twarda / 2018 / 250 str.

Andrei Y. Khrennikov; Sergei V. Kozyrev; W. A. Zuniga-Galindo

Opis

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

Recenzje

'[As a whole] … the book o ffers … extremely rich material, providing a complete view on the recent [research] in p-adic analysis.' Luigi Rodino, zbMATH

Spis treści

1. p-adic analysis: essential ideas and results; 2. Ultrametric geometry: cluster networks and buildings; 3. p-adic wavelets; 4. Ultrametricity in the theory of complex systems; 5. Some applications of wavelets and integral operators; 6. p-adic and ultrametric models in geophysics; 7. Recent development of the theory of p-adic dynamical systems; 8. Parabolic-type equations, Markov processes, and models of complex hierarchic systems; 9. Stochastic heat equation driven by Gaussian noise; 10. Sobolev-type spaces and pseudodifferential operators; 11. Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields; 12. Heat traces and spectral zeta functions for p-adic laplacians; References; Index.