Certain Fourier operators and their associated Poisson summation formulae on \(\operatorname{GL}_1\)
DOI10.2140/pjm.2023.326.301arXiv2108.03566MaRDI QIDQ6187216
Publication date: 15 January 2024
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03566
Poisson summation formulaautomorphic representationautomorphic \(L\)-functionFourier operatorinvariant distributionrepresentation of real and \(p\)-adic reductive groupsspectral interpretation of critical zeros of automorphic \(L\)-functions
Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Other transforms and operators of Fourier type (43A32) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Analysis on other specific Lie groups (43A80)
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