Partial differential equations in several complex variables /

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Bibliographic Details
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
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Other authors / contributors:Shaw, Mei-Chi, 1955-
ISBN:0821810626 (acid-free paper)
Notes:Includes bibliographical references and index.
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