Math 506: Complex Variables
نویسندگان
چکیده
Part I: Single Variables: Review and extensions. CR equations and analyticity; Cauchy-Goursat theorem and Cauchy integral formula, Louiville’s theorem; Morera’s theorem; maximum modulus principle; Laurent series and singularities; Riemann extension theorem; residues; Schwartz’s lemma; open mapping theorem; analytic continuation and the dilogarithm; linear fractional transformations; spaces of analytic functions: Normal families and Montel’s theorem; Riemann mapping theorem; Picard theorems.
منابع مشابه
The Brave New World of Determinancy
1. S. Bochner and W. Martin, Several complex variables, Princeton Univ. Press, Princeton, N. J., 1948. 2. C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. 3. G. B. Folland and E. M. Stein, Estimates for the db complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. 4. B. Fuks, Introduction to the...
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