复变导论(英文影印版)

.2.4. isolated singularities and residues
2.5. residues and the computation of definite integrals
2.6. other applications of the residue theorem
2.7. the area theorem
2.8. conformal mappings
chapter 3
the -equation
3.1. runge'stheorem
3.2. mittag-leffier's theorem
3.3. the weierstrass theorem
3.4. an interpolation theorem
3.5. closed ideals in (ω)
3.6. the operator σ acting on distributions
3.7. mergelyan's theorem
3.8. short survey of the theory of distributions. their relation to thetheory of residues
chapter 4
harmonic and subharmonic functions
4.1. introduction
4.2. a remark on the theory of integration
4.3. harmonic functions
4.4. subharmonic functions
4.5. order and type of subharmonic functions in c
4.6. integral representations
4.7. green functions and harmonic measure
4.8. smoothness up to the boundary of biholomorphic mappings
4.9. introduction to potential theory
chapter 5
analytic continuation and singularities
5.1. introduction
5.2. elementary study of singularities and dirichlet series
5.3. a brief study of the functions f and
5.4. covering spaces
5.5. riemann surfaces
5.6. the sheaf of germs of holomorphic functions
5.7. cocycles
5.8. group actions and covering spaces
5.9. galois coverings
5. l0 the exact sequence of a galois covering
5.11. universal covering space
5.12. algebraic functions, i
5.13. algebraic functions, ii
5.14. the periods of a differential form
5.15. linear differential equations
5.16. the index of differential operators
references
notation and selected terminology
index