Lectures on The Theory of FunctionsPDF电子书下载
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- 作 者：J.E.Littlewood
- 出 版 社：
- 出版年份：1944
- ISBN：
- 页数：243 页
INTRODUCTION 1
1．Notation 2
2．The inequalities of Holder and Minkowski 4
3．The selection principle 25
4．Theory of functions of a real variable 26
5．Fourier series 49
6．Some theorems of analysis situs (topology) 66
7．Harmonic functions 68
8．The behaviour of certain special functions of a complex variable 91
CHAPTER Ⅰ 103
9．The maximum modulus principle 103
10．Some classical theorems 112
11．Preliminary results on conformal representation 119
12．The theory of the linear function 125
13-16．Riemann＇s existence theorem 130
17．The conformal representation of limit-domains 140
18-20．Boundary problems in conformal representation 143
CHAPTER Ⅱ 152
21．Subharmonic functions 152
22．Subordination 163
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 developments 225
ADDENDA AND CORRIGENDA 233