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arXiv 1006.2276math.RTmath.AP
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关于不变微分算子的满射性

On Surjectivity of Invariant Differential Operators

Thomas Hjortgaard Danielsen

摘要:

通过证明非紧型Riemann对称空间的一个拓扑Paley-Wiener定理,证明了非零不变微分算子是从检验函数空间到其象的同胚,因而当推广到分布空间时是满射的.

英文摘要:

By proving a topological Paley-Wiener Theorem for Riemannian symmetric spaces of non-compact type, we show that a non-zero invariant differential operator is a homeomorphism from the space of test functions onto its image and hence surjective when extended to the space of distributions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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