Differential Operators of Infinite Order on a Lie Group, II
نویسندگان
چکیده
منابع مشابه
Fundamental Solutions of Invariant Differential Operators on a Semisimple Lie Group Ii
Let G be a linear connected semisimple Lie group. We denote by U(g)K the algebra of left invariant differential operators on G that are also right invariant by K, and Z(U(g)K) denotes center of U(g)K . In this paper we give a sufficient condition for a differential operator P ∈ Z(U(g)K) to have a fundamental solution on G. This result extends the same one obtained previously for real rank one L...
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Let G be a connected semisimple Lie group of real rank one. We denote by U(g)K the algebra of left invariant differential operators on G right invariant by K, and let Z(U(g)K) be its center. In this paper we give a sufficient condition for a differential operator P ∈ Z(U(g)K) to have a fundamental solution on G. We verify that this condition implies P C∞(G) = C∞(G). If G has a compact Cartan su...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1971
ISSN: 0022-2518
DOI: 10.1512/iumj.1972.21.21030