Abstract. We consider the circle methods of summability theory (in discrete and continuous form). The basic Tauberian properties ($b$-equivalence, $O$-theorem) are treated in a short and lucid way. Thereby we employ logarithmic derivatives and M untz approximations.
AMS Subject Classification
(1991): 40E10, 40G99, 40H05
Received February 15, 1999. (Registered under 2724/2009.)
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