D-bar Neumann Problem and Schrodinger Operators
商品資訊
系列名：De Gruyter Expositions in Mathematics 59
ISBN13：9783110315301
出版社：De Gruyter
作者：Friedrich Haslinger
出版日：2014/06/15
裝訂／頁數：精裝／290頁
商品簡介
The topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphicL2 functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian onL2 spaces of bounded pseudoconvex domains and on weighted L2 spaces.
The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrodinger operators, Pauli and Dirac operators and to Witten-Laplacians.
作者簡介
Friedrich Haslinger,University of Vienna, Austria.
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