| RESEARCH ANNOUNCEMENTS A Cone Pseudo—differential Calculus |
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| 引用本文： | 刘晓春.RESEARCH ANNOUNCEMENTS A Cone Pseudo—differential Calculus[J].数学进展,2000,29(3):275-278. |
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| 作者姓名： | 刘晓春 |
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| 作者单位： | School of Mathematics, Wuhan University, Wuhan, Hubei, 430072, P. R. China
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| 基金项目： | Research supported by the
National Natural Science Foundation of Chinaand Max-Planck Soc. of Germany. |
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| 摘 要： | The calculus of pseudo-differential operators on singular spaces and theconcept of ellipti-city in operator algebras on manifolds with singularitieshave become an enormous challenge for analysists. The so-called cone algebras(with discrete and continuous asymptotics) are investigated by manymathematicians, especially by B. W. Schulze, who developed and enrichedcone and edge pseudo-differential calculus, see Schulze［4-7］, Rempel and Schulze ［2, 3］. In this note,we construct a cone pseudo-differentialcalculus for operators which respect conormal asymptotics of a prescribedasymptotic type.
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| 关 键 词： | Pseudo－differential calculus singular spaces |
| 修稿时间： | 2000年3月8日 |
A Cone Pseudo-differential Calculus |
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| Liu Xiaochun.A Cone Pseudo-differential Calculus[J].Advances in Mathematics,2000,29(3):275-278. |
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| Authors: | Liu Xiaochun |
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