By Jacob Korevaar
Tauberian thought 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 specialist remark conjures up the thrill 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 accordance with Fourier conception. There are the magnificent "high-indices" theorems and Karamata's "regular variation", which permeates chance concept. the writer provides Gelfand's based algebraic therapy of Wiener idea and his personal distributional procedure. there's additionally a brand new unified idea for Borel and "circle" equipment. The textual content describes many Tauberian how one can the top quantity theorem. a wide bibliography and a considerable index around out the book.