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Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties by Lev Abramovich Aĭzenberg, Shamilʹ Abdullovich Dautov is a mathematics available to read on EtoBox.

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The authors consider the problem of characterizing the exterior differential forms which are orthogonal to holomorphic functions (or forms) in a domain $D\subset {\mathbf C}^n$ 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 $(p, n - 1), 0\leq p\leq n - 1$, 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.

Who reads Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties?

Author

Lev Abramovich Aĭzenberg, Shamilʹ Abdullovich Dautov

Publisher

American Mathematical Society

Published

1983

Language

EN

ISBN

9780821845080

Category

mathematics

Subjects

Mathematics, Stem

Updated

2026-03-16