AI 中文总结
研究紧致李群乘积上双奇异\((\rho,\delta)\)拟微分算子演算,它扩展了此前\((1,0)\)情形的演算,适用于构造\(G_1\times G_2\)上亚椭圆算子拟基本解。
AI 中文摘要
本文在紧致李群乘积上发展了双奇异拟微分算子的\((\rho,\delta)\)演算,它扩展了第二和第三作者之前在\((1,0)\)情形下引入的演算。\((\rho,\delta)\)情形的演算是适合构造\(G_1\times G_2\)上亚椭圆算子拟基本解的演算。
英文摘要
In this paper we develop the $(ρ,δ)$ calculus of bisingular pseudodifferential operators on the product compact Lie groups, which extends the one that was earlier introduced by the second and third authors in the $(1,0)$ case. The $(ρ,δ)$ case is the calculus suitable to construct parametrices of hypoelliptic operators on $G_1\times G_2$.