TY - JOUR T1 - Global Solvability of Linear Differential Operators with Multiple Characteristics AU - Feng Xueshang JO - Journal of Partial Differential Equations VL - 4 SP - 373 EP - 383 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5695.html KW - Irreducible unitary representation KW - left invariant differential operators KW - global solvability AB - In this paper, we first introduce the irreducible unitary representation of nilpotent Lie groups, then by using the irreducible unitary representation we construct a fundamental solution to a class of left invariant differential operators and thus obtain the global solvability of this kind of operators.