دانلود کتاب Differential forms orthogonal to holomorphic functions or forms, and their properties

Name: Differential forms orthogonal to holomorphic functions or forms, and their properties
Availability: InStock
Author: Lev Abramovich Aĭzenberg
ISBN: 082184508X, 9780821845080, 0821853457, 97808218534

by Lev Abramovich Aĭzenberg

عنوان فارسی: فرم های دیفرانسیل متعامد به توابع هولومورفیک و یا اشکال، و خواص آنها
ناشر: American Mathematical Society
سال: 1983
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 176-176
شابک: 082184508X, 9780821845080, 0821853457, 97808218534
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 4.00 مگابایت

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جزییات کتاب

The authors consider the problem of characterizing the exterior differential forms which are orthogonal to holomorphic functions (or forms) in a domain $Dsubset {mathbf C}^n$ with respect to integration over the boundary, and some related questions. They give a detailed account of the derivation of the Bochner-Martinelli-Koppelman integral representation of exterior differential forms, which was obtained in 1967 and has already found many important applications. They study the properties of $overline partial$-closed forms of type $(p, n - 1), 0leq pleq n - 1$, which turn out to be the duals (with respect to the orthogonality mentioned above) to holomorphic functions (or forms) in several complex variables, and resemble holomorphic functions of one complex variable in their properties.

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