PreprintarXiv licencearXiv
A general quantified Wiener-Ikehara theorem
Abstract
Building on the technology developed in \cite{Deb-qik}, we establish a quantified Tauberian theorem under a flexible Wiener-Ikehara Tauberian condition and under several types of boundary behavior for the Laplace transform.
Related
- A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces
- A trace Paley-Wiener theorem for GLn(F)backslash GLn(E), with E/F a quadratic extension of non-Archimedean local fields
- A Paley-Wiener-Type Theorem with Applications to Inverse Medium Scattering for the Schrödinger Equation
- A general theorem in spectral extremal graph theory
- Decomposition Theorem for Perfectoid Rings along General Ideals
BibTeX
@misc{debruyne2026general,
title = {{A general quantified Wiener-Ikehara theorem}},
author = {Gregory Debruyne},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31016},
eprint = {2610.31016},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31016},
}
RIS
TY - UNPB
TI - A general quantified Wiener-Ikehara theorem
AU - Gregory Debruyne
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31016
UR - https://arxiv.org/abs/2610.31016
AB - Building on the technology developed in \cite{Deb-qik}, we establish a quantified Tauberian theorem under a flexible Wiener-Ikehara Tauberian condition and under several types of boundary behavior for the Laplace transform.
ER -