TY - JOUR
T1 - Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 10
PY - 2000
DA - 2000/02
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5491.html
KW - Spectrum
KW - eigenvalue
KW - left invariant differential operator: nilpotent Lie group
AB -  In this paper, spectral properties of certain left invariant differential operators on two-step nilpotent Lie groups are completely described by using the theory of unitary irreducible representations and the Plancherel formulae on nilpotent Lie groups.