Distributive lattices and their applications in complex analysis
著者
書誌事項
Distributive lattices and their applications in complex analysis
（Proceedings of the Steklov Institute of Mathematics, 1985,
American Mathematical Society, 1985
- : pbk
- タイトル別名
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Distributivnye struktury i ikh prilozhenii︠a︡ v komploksnom analize
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注記
Number in Russian series statement: tom 162 (1983)
Bibliography: p. 77-79
内容説明・目次
内容説明
Algebraic methods have penetrated deeply into contemporary complex analysis, having an essential influence on both the choice of problems and on the methods for solving them. This monograph deals with the applications of distributive lattices of subspaces to problems in multidimensional complex analysis. The author extends and refines Bogolyubov's 'edge-of-the-wedge' theorem, which is formulated as the exactness of a definite homology sequence in various classes of holomorphic functions. He also undertakes a systematic study of two classes of analytic functionals, the so-called Fourier hyperfunctions and the Fourier ultrahyperfunctions, on the basis of distributive lattices of linear subspaces. With this goal in mind, he obtains a homology characterization of distributive lattices of submodules, along with duality formulas for dual lattices of locally convex subspaces. The book is intended for specialists in the theory of functions of several complex variables.
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