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Ultrametric pseudodifferential equations and applications /

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

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958- (Auteur), Kozyrev, Sergei V. (Auteur), Zúñiga-Galindo, W. A. (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge, United Kingdom : Cambridge University Press, 2018.
Collection:Encyclopedia of mathematics and its applications ; v. 168.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • p-Adic analysis: essential ideas and results
  • Ultrametric geometry: cluster networks and buildings
  • p-Adic wavelets
  • Ultrametricity in the theory of complex systems
  • Some applications of wavelets and integral operators
  • p-Adic and ultrametric models in geophysics
  • Recent development of the theory of p-Adic dynamical systems
  • Parabolic-type equations, Markov processes, and models of complex hierarchical systems
  • Stochastic heat equation driven by Gaussian noise
  • Sobolev-type spaces and pseudodifferential operators
  • Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields
  • Heat traces and spectral zeta functions for p-Adic laplacians.