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Titlebook: Complexes of Differential Operators; Nikolai N. Tarkhanov Book 1995 Springer Science+Business Media Dordrecht 1995 Argument principle.Cauc

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書(shū)目名稱(chēng)Complexes of Differential Operators
編輯Nikolai N. Tarkhanov
視頻videohttp://file.papertrans.cn/232/231634/231634.mp4
叢書(shū)名稱(chēng)Mathematics and Its Applications
圖書(shū)封面Titlebook: Complexes of Differential Operators; Nikolai N. Tarkhanov Book 1995 Springer Science+Business Media Dordrecht 1995 Argument principle.Cauc
描述This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the
出版日期Book 1995
關(guān)鍵詞Argument principle; Cauchy problem; Hodge theory; Tensor; differential equation; differential operator; ma
版次1
doihttps://doi.org/10.1007/978-94-011-0327-5
isbn_softcover978-94-010-4144-7
isbn_ebook978-94-011-0327-5
copyrightSpringer Science+Business Media Dordrecht 1995
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ons of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the978-94-010-4144-7978-94-011-0327-5
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Developments in Cardiovascular Medicineions, in algebraic geometry, in combinatorial analysis, in number theory, etc. For a recent account of the theory, we refer to the survey of Aizenberg, Tsikh and Yuzhakov [3]. A more general formula in the language of currents was earlier proved by King [121]. In the complex plane, this is just the
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Yangpeng Lin,Di Zhang,Hongfeng ZhangLet . be a differentiable (that is of class .) manifold of dimensions . that is countable at infinity. Later on the following two properties of such manifolds will be used.
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