Fundamental solutions of invariant differential operators on symmetric spaces
نویسندگان
چکیده
منابع مشابه
Invariant Differential Operators for Quantum Symmetric Spaces, II
The two papers in this series analyze quantum invariant differential operators for quantum symmetric spaces in the maximally split case. In this paper, we complete the proof of a quantum version of Harish-Chandra’s theorem: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and a ring of Laurent polynomial invariants with resp...
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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: Bulletin of the American Mathematical Society
سال: 1963
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1963-11029-0