陶伯理论：百年进展-教辅教材-文化科教-太极之巅书单号

书刊介绍

陶伯理论：百年进展目录

ⅰ the hardy-littlewood theorems
1 introduction
2 examples of summability methods abelian theorems and tauberian question
3 simple applications of cesa(')ro, abel and borel summability
4 lambert summability in number theory
5 tauber's theorems for abel summability
6 tauberian theorem for cesa(')ro summability
7 hardy-littlewood tauberians for abel summability
8 tauberians involving dirichlet series
9 tauberians for borel summability
10 lambert tauberian and prime number theorem
11 karamata's method for power series
12 wielandt's variation on the method
13 transition from series to integrals
14 extension of tauber's theorems to laplace-stieltjes transforms