University of Birmingham > Talks@bham > Analysis Seminar > Quantified versions of Ingham’s Tauberian theorem

Quantified versions of Ingham’s Tauberian theorem

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If you have a question about this talk, please contact Andrew Morris.

The purpose of this talk is to present a quantified version of Ingham’s Tauberian theorem in which the rate of decay is determined by the growth at infinity of a certain boundary function. The proof of this result is an extension of Ingham’s own argument and, unlike more recent proofs of similar results, involves no estimates of contour integrals. The general result and some of its variants are then applied in the setting of $C_0$-semigroups, giving both new proofs of previously known results and, in one important case, a sharper result than was previously available. The talk is based on joint work with R. Chill (Dresden).

This talk is part of the Analysis Seminar series.

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