Ultrametric Pseudodifferential Equations and Applications (Hardcover)

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.