On the Fourier asymptotics of absolutely continuous measures with power-law singularities

被引：0

作者：

Aloisio, M. ^{[1
]}

de Carvalho, S. L. ^{[2
]}

de Oliveira, C. R. ^{[3
]}

Souza, E. ^{[4
,5
]}

机构：

[1] Univ Fed Vales Jequitinhonha & Mucuri, Dept Matemat & Estat, BR-39100000 Diamantina, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil

[3] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

[4] Univ Fed Amazonas, Dept Matemat, BR-369067005 Manaus, AM, Brazil

[5] Univ Estado Amazonas, BR-369067005 Manaus, AM, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 01期

关键词：

HOLDER CONTINUITY; TRANSFER-MATRICES;

D O I：

10.1063/5.0149320

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove sharp estimates on the time-average behavior of the squared absolute value of the Fourier transform of some absolutely continuous measures that may have power-law singularities, in the sense that their Radon-Nikodym derivatives diverge with a power-law order. We also discuss an application to spectral measures of finite-rank perturbations of the discrete Laplacian.

引用

页数：12

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