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Spectrality of Moran measures with finite arithmetic digit sets
- Source :
- International Journal of Mathematics. 31:2050008
- Publication Year :
- 2019
- Publisher :
- World Scientific Pub Co Pte Lt, 2019.
-
Abstract
- Let [Formula: see text] be a prime and [Formula: see text] be a sequence of finite arithmetic digit sets in [Formula: see text] with [Formula: see text] uniformly bounded, and let [Formula: see text] be the discrete probability measure on the finite set [Formula: see text] with equal distribution. For [Formula: see text], the infinite Bernoulli convolution [Formula: see text] converges weakly to a Borel probability measure (Moran measure). In this paper, we study the existence of exponential orthonormal basis for [Formula: see text].
- Subjects :
- Sequence
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
Astrophysics::Instrumentation and Methods for Astrophysics
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
01 natural sciences
Spectral measure
Numerical digit
Prime (order theory)
symbols.namesake
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Fourier transform
0103 physical sciences
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
symbols
Computer Science::General Literature
Uniform boundedness
Orthonormal basis
010307 mathematical physics
0101 mathematics
Arithmetic
ComputingMilieux_MISCELLANEOUS
Mathematics
Probability measure
Subjects
Details
- ISSN :
- 17936519 and 0129167X
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- International Journal of Mathematics
- Accession number :
- edsair.doi...........2a6197c204bb4d948e3dc50711d8d1e7