O. F. Casas-SánchezJ. Galeano-PeñalozaJ. J. Rodríguez-Vega2026-03-222026-03-22201510.1134/s207004661501001xhttps://doi.org/10.1134/s207004661501001xhttps://andeanlibrary.org/handle/123456789/50474Citaciones: 6In this paper we deal with the operator defined as $$f(\partial ,\alpha )\phi : = \mathcal{F}_{\xi \to x}^{ - 1} \left( {\left| {f(\xi )} \right|_p^\alpha \mathcal{F}_{x \to \xi } \phi } \right)$$ , where f(ξ) is an elliptic quadratic form of dimension 3 over ℚ p . We study the Cauchy problem associated that operator, and find the fundamental solution and some properties of it, using the techniques given by Kochubei.enDimension (graph theory)MathematicsPseudodifferential operatorsType (biology)Elliptic operatorOperator (biology)Cauchy distributionPure mathematicsQuadratic equationMathematical analysisarticle