Local Integral Transforms and Global Spectral Decomposition

IF 2.5 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2025-07-10 DOI:10.1007/s00039-025-00714-0

Valentin Blomer, Subhajit Jana, Paul D. Nelson

引用次数: 0

Abstract

We establish an explicit global spectral decomposition of shifted convolution sums and the second moment of automorphic \(L\)-functions for Maaß forms with explicit integral transforms as well as explicit inversion formulae over every local field.

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局部积分变换与全局谱分解

我们建立了具有显式积分变换的maasß形式的移位卷积和的显式全局谱分解和自同构\(L\) -函数的第二矩，以及每个局部域上的显式反演公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.