Note on the absence of remainders in the Wiener-Ikehara theorem
From MaRDI portal
Publication:4691329
DOI10.1090/proc/14193zbMath1454.11170arXiv1801.03491OpenAlexW3106014559WikidataQ129899436 ScholiaQ129899436MaRDI QIDQ4691329
Gregory Debruyne, Jasson Vindas
Publication date: 23 October 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03491
Laplace transformMellin transformanalytic continuationremaindersWiener-Ikehara theoremcomplex Tauberians
Related Items (5)
A Tauberian theorem of Wiener-Ikehara type and its applications ⋮ Decay of \(C_0\)-semigroups and local decay of waves on even (and odd) dimensional exterior domains ⋮ An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions ⋮ On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: A constructive approach ⋮ An abstract approach to optimal decay of functions and operator semigroups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wiener-Ikehara theorems and the Beurling generalized primes
- Distributional Wiener-Ikehara theorem and twin primes
- \(L^{p}\)-Tauberian theorems and \(L^{p}\)-rates for energy decay
- On Ikehara type Tauberian theorems with \(O(x^\gamma )\) remainders
- An extension of the Ikehara Tauberian theorem and its application
- Generalization of the Wiener-Ikehara theorem
- Tauberian remainder theorems
- Quantified versions of Ingham's theorem
- GENERALIZATION OF THE EFFECTIVE WIENER–IKEHARA THEOREM
- A quantified Tauberian theorem for sequences
- A Class of Extremal Functions for the Fourier Transform
- On General Prime Number Theorems with Remainder
- Tauberian Theory
- Twelve Landmarks of Twentieth-Century Analysis
- Généralisation du théorème de Ikehara
This page was built for publication: Note on the absence of remainders in the Wiener-Ikehara theorem
