Dipartimento di Matematica, Politecnico di Torino, 10129 Torino, Italy.
Proc Natl Acad Sci U S A. 1986 Jan;83(1):1-3. doi: 10.1073/pnas.83.1.1.
Several related classes of operators on nilpotent Lie groups are considered. These operators involve the following features: (i) oscillatory factors that are exponentials of imaginary polynomials, (ii) convolutions with singular kernels supported on lower-dimensional submanifolds, (iii) validity in the general context not requiring the existence of dilations that are automorphisms.
考虑了几个关于幂零李群的相关算子类。这些算子涉及以下特征:(i)是虚多项式的指数的震荡因子,(ii)与奇异核的卷积,奇异核支持低维子流形,(iii)在不需要存在自同构的扩张的一般情况下有效。