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- W2014681248 abstract "Let G be a 2-step nilpotent lie Group of type (H) such that there is a subalgebra of the Lie algebra g which is maximal subordinate for all nontrivial linear functionals on the center g2 of the Lie algebra g— Suppose that L is a left invariant operator on G such tha the term or highest homogeneous degree is elliptic in the generating directions on G. Then L is hypoelliptic ⇔ the elements l ∈ (g2)*C for which пl(L*L) is not invertible move away from g*faster than any multiple of log ∣l∣. The implication ⇐ holds for all Lie groups of type (H) ⇔" @default.
- W2014681248 created "2016-06-24" @default.
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- W2014681248 date "1984-01-01" @default.
- W2014681248 modified "2023-09-25" @default.
- W2014681248 title "Necessary and sufficient conditions hypoellipticity of certain left invariant operators on nilpotent lie groups" @default.
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- W2014681248 doi "https://doi.org/10.1080/03605308408820323" @default.
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