Pseudodifferential Equations Over Non-Archimedean Spaces By W. A. Zúñiga-GalindoEnglish | EPUB | 2016 | 175 Pages | ISBN : 3319467379 | 3.47 MB
Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation.