The spectral study of a class of Moran measures in Rn

IF 1.2 3区 数学 Q1 MATHEMATICS
Jia-Long Chen
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引用次数: 0

Abstract

Let {(Ak,Dk)}k=1 be a sequence of pairs, where Dk is an integer vector set with supdDkd< and Ak is an integer expansive matrix. Associated with the sequence {(Ak,Dk)}k=1, Moran measure μ{Ak},{Dk} is defined byμ{Ak},{Dk}=δA11D1δA11A21D2. Assume that {x(0,1)n:dDke2πid,x=0}=q1Zn[0,1)n{0}, we provide the necessary and sufficient conditions for L2(μ{Ak},{Dk}) to have orthogonal exponential function bases under some metric conditions on Ak.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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