Can I read Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties on EtoBox?

Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties by Lev Abramovich Aizenberg; Sh.A.Dautov,American Mathematical Society is a book available to read on EtoBox.

What is Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties about?

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.

Author

Lev Abramovich Aizenberg; Sh.A.Dautov,American Mathematical Society

Publisher

Providence, R.I.: American Mathematical Society

Published

2018

Language

EN

ISBN

9781470444709

Subjects

Mathematics, Stem