By Jacob Korevaar
Tauberian conception compares summability tools for sequence and integrals, is helping to make your mind up while there's convergence, and gives asymptotic and the rest estimates. the writer exhibits the improvement of the idea from the start and his professional statement inspires the buzz surrounding the early effects. He exhibits the fascination of the tricky Hardy-Littlewood theorems and of an unforeseen uncomplicated facts, and extolls Wiener's leap forward in response to Fourier concept. There are the marvelous "high-indices" theorems and Karamata's "regular variation", which permeates likelihood thought. the writer offers Gelfand's based algebraic remedy of Wiener thought and his personal distributional procedure. there's additionally a brand new unified conception for Borel and "circle" equipment. The textual content describes many Tauberian how one can the best quantity theorem. a wide bibliography and a considerable index around out the book.