Titlebook: Symplectic Geometry; An Introduction base B. Aebischer,M. Borer,H. M. Reimann Book 1994 Springer Basel AG 1994 contact geometry.differentia

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ome one of the major research challenges in massive multiple-input and multiple-output (mMIMO)-based fifth-generation wireless communication systems. So, this paper deals with the study and analyzation of existing channel estimation techniques and its limitations. The parameters that are mainly focu

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,Darboux’ Theorem and Examples of Symplectic Manifolds,symplectic structures is usually made difficult by additional geometric propertics of the manifold. Therefore we restrict our considerations and illustrating examples to the three most frequently encountered types of symplectic manifolds, namely cotangent bundles, Kähler manifolds and coadjoint orbits.

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Symplectic Capacities,zing theorem. When similar invariants were discovered later by Ekeland, Hofer, Viterbo, Zehnder and others, it became clear that their existence has many useful consequences, e.g. on the rigidity of symplectic mappings. Therefore, the properties of these invariants were axiomatized and the notion of symplectic capacity was introduced.

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Symplectic Geometry978-3-0348-7512-7Series ISSN 0743-1643 Series E-ISSN 2296-505X

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