By Jacob Korevaar
Tauberian thought compares summability equipment for sequence and integrals, is helping to make a decision while there's convergence, and offers asymptotic and the rest estimates. the writer indicates the advance of the speculation from the start and his specialist observation inspires the buzz surrounding the early effects. He indicates the fascination of the tricky Hardy-Littlewood theorems and of an unforeseen basic evidence, and extolls Wiener's step forward according to Fourier idea. There are the astonishing "high-indices" theorems and Karamata's "regular variation", which permeates likelihood concept. the writer offers Gelfand's dependent algebraic remedy of Wiener concept and his personal distributional procedure. there's additionally a brand new unified thought for Borel and "circle" tools. The textual content describes many Tauberian how one can the top quantity theorem. a wide bibliography and a considerable index around out the book.
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Tauberian Theory: A Century of Developments (Grundlehren der mathematischen Wissenschaften) by Jacob Korevaar