Partial differential equations in several complex variables /
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| Author / Creator: | Chen, So-chin. |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2001. |
| Description: | xii, 380 p. ; 27 cm. |
| Language: | English |
| Series: | AMS/IP studies in advanced mathematics, 1089-3288 ; v. 19 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4390824 |
Table of Contents:
- Real and complex manifolds
- The Cauchy integral formula and its applications
- Holomorphic extension and pseudoconvexity $L^2$ theory for $\overline\partial$ on pseudoconvex domains
- The $\overline\partial$-Neumann problem on strongly pseudoconvex manifolds
- Boundary regularity for $\overline\partial$ on pseudoconvex domains
- Cauchy-Riemann manifolds and the tangential
- Cauchy-Riemann complex
- Subelliptic estimates for second order differential equations and $\square_b$
- The tangential
- Cauchy-Riemann complex on pseudoconvex $CR$ manifolds
- Fundamental solutions for $\square_b$ on the Heisenberg group
- Integral representations for $\overline\partial$ and $\overline\partial_b$
- Embeddability of abstract $CR$ structures
- Appendix
- Bibliography
- Table of notation
- Index