2 papers
math.AP2013
P-adic Elliptic Quadratic Forms, Parabolic-Type Pseudodifferential Equations With Variable Coefficients, and Markov Processes
O. F. Casas-Sánchez, W. A. Zúñiga-Galindo
In this article we study the Cauchy problem for a new class of parabolic-type pseudodifferential equations with variable coefficients for which the fundamental solutions are transi…
math.FA2012
Riesz Kernels and Pseudodifferential Operators Attached to Quadratic Forms Over p-adic Fields
O. Casas-Sanchez, W. A. Zuniga-Galindo
We study pseudodifferential equations and Riesz kernels attached to certain quadratic forms over p-adic fields. We attach to an elliptic quadratic form of dimension two or four a f…