Table of Contents The Hardy-Littlewood Theorems.- Wiener's Theory.- Complex Tauberian Theorems.- Karamata's Heritage: Regular Variation.- Extensions of the Classical Theory.- Borel Summability and General Circle Methods.- Tauberian Remainder Theory.- References.- Index.
Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement s…
"Tauberian theory compares different summability methods both for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his commentary evokes the exc…
