| Title:
|
Mittag-Leffler type expansions of $\bar{\partial}$-closed $(0,n-1)$-forms in certain domains in $\Bbb C^n$ (English) |
| Author:
|
Hatziafratis, Telemachos |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
347-358 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we will prove a Mittag-Leffler type theorem for $\bar{\partial}$-closed $(0,n-1)$-forms in $\Bbb C^n$ by addressing the question of constructing such differential forms with prescribed periods in certain domains. (English) |
| Keyword:
|
Mittag-Leffler type expansions |
| Keyword:
|
$\bar{\partial}$-closed forms |
| Keyword:
|
Bochner-Martinelli kernel |
| MSC:
|
32A25 |
| MSC:
|
32A26 |
| idZBL:
|
Zbl 1127.32300 |
| idMR:
|
MR2026169 |
| . |
| Date available:
|
2009-01-08T19:29:42Z |
| Last updated:
|
2020-02-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119391 |
| . |
| Reference:
|
[1] Hatziafratis T.: On a class of $\bar{\partial}$-equations without solutions.Comment. Math. Univ. Carolinae 39.3 (1998), 503-509. MR 1666762 |
| Reference:
|
[2] Hatziafratis T.: Note on the Fourier-Laplace transform of $\bar{\partial}$-cohomology classes.Z. Anal. Anwendungen 17 (1998), 907-915. MR 1669921, 10.4171/ZAA/858 |
| Reference:
|
[3] Hatziafratis T.: Expansions of certain $\bar{\partial}$-closed forms via Fourier-Laplace transform.preprint. |
| Reference:
|
[4] Hörmander L.: An Introduction to Complex Analysis in Several Variables.North-Holland, Amsterdam, 1990. MR 1045639 |
| Reference:
|
[5] Krantz S.: Function Theory of Several Complex Variables.Wadsworth & Brooks/Cole, California, 1992. Zbl 1087.32001, MR 1162310 |
| Reference:
|
[6] Range R.M.: Holomorphic Functions and Integral Representations in Several Complex Variables.Springer-Verlag, New York, 1986. Zbl 0591.32002, MR 0847923 |
| . |
