| Hörmander index in finite-dimensional case |
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| 引用本文： | Yuting ZHOU,Li WU,Chaofeng ZHU. Hörmander index in finite-dimensional case[J]. Frontiers of Mathematics in China, 2018, 13(3): 725-761. DOI: 10.1007/s11464-018-0702-3 |
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| 作者姓名： | Yuting ZHOU Li WU Chaofeng ZHU |
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| 摘 要： |
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Hörmander index in finite-dimensional case |
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| Yuting Zhou,Li Wu,Chaofeng Zhu. Hörmander index in finite-dimensional case[J]. Frontiers of Mathematics in China, 2018, 13(3): 725-761. DOI: 10.1007/s11464-018-0702-3 |
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| Authors: | Yuting Zhou Li Wu Chaofeng Zhu |
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| Affiliation: | 1. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China2. Department of Mathematics, Shandong University, Jinan 250100, China |
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| Abstract: | We calculate the Hörmander index in the finite-dimensional case. Then we use the result to give some iteration inequalities, and prove almost existence of mean indices for given complete autonomous Hamiltonian system on compact symplectic manifold with symplectic trivial tangent bundle and given autonomous Hamiltonian system on regular compact energy hypersurface of symplectic manifold with symplectic trivial tangent bundle. |
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| Keywords: | Maslov index Hörmander index Maslov-type index symplectic reduction |
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