SPECTRAL EIGENMATRIX OF THE PLANAR SPECTRAL MEASURES WITH FOUR ELEMENTS

被引：1

作者：

Li, S. -J. ^{[1
]}

Ai, W. -H. ^{[1
]}

机构：

[1] Hunan Normal Univ, Sch Math & Stat, Minist Educ, Key Lab Comp & Stochast Math, Changsha 410081, Hunan, Peoples R China

来源：

ANALYSIS MATHEMATICA | 2023年 / 49卷 / 02期

关键词：

spectral measure; spectral eigenmatrix; spectrum; SELF-SIMILAR MEASURES; FUGLEDES CONJECTURE;

D O I：

10.1007/s10476-023-0207-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the spectral eigenmatrix problem of the planar self-similar spectral measures mu(Q,D) generated by Q = ( [GRAPHICS] ) and D = {((0) (0)), ((1) (0)), ((0) (1)), ((-1) (-1))}, where q >= 2 is an integer. For matrix R is an element of M-2(Z), we prove that there exist some spectrum. such that Lambda and R Lambda are both the spectra of mu(Q,D) if and only if det R is an element of 2Z + 1.

引用

页码：545 / 562

页数：18

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