Riesz Kernels and Pseudodifferential Operators Attached to Quadratic Forms Over p-adic Fields
Functional Analysis
2014-06-20 v5
Abstract
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 family of distributions depending on a complex parameter, the Riesz kernels, and show that these distributions form an Abelian group under convolution. This result implies the existence of fundamental solutions for certain pseudodifferential equations like in the classical case.
Cite
@article{arxiv.1210.1600,
title = {Riesz Kernels and Pseudodifferential Operators Attached to Quadratic Forms Over p-adic Fields},
author = {O. Casas-Sanchez and W. A. Zuniga-Galindo},
journal= {arXiv preprint arXiv:1210.1600},
year = {2014}
}
Comments
Some typos were corrected