《Lectures on The Theory of Functions》求取 ⇩

INTRODUCTION1

1.Notation2

2.The inequalities of Holder and Minkowski4

3.The selection principle25

4.Theory of functions of a real variable26

5.Fourier series49

6.Some theorems of analysis situs (topology)66

7.Harmonic functions68

8.The behaviour of certain special functions of a complex variable91

CHAPTER Ⅰ103

9.The maximum modulus principle103

10.Some classical theorems112

11.Preliminary results on conformal representation119

12.The theory of the linear function125

13-16.Riemann's existence theorem130

17.The conformal representation of limit-domains140

18-20.Boundary problems in conformal representation143

CHAPTER Ⅱ152

21.Subharmonic functions152

22.Subordination163

23.The"principle of subordination"171

24-26.The functions P,Q,R ("Picard"functions)185

27.Functions S and S ("schlicht"functions)205

28.Various developments225

ADDENDA AND CORRIGENDA233

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