Nonspectrality of Certain Self-Affine Measures on ℝ 3
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We will determine the nonspectrality of self-affine measure μ B , D corresponding to B = diag [ p 1 , p 2 , p 3 ] ( p 1 ∈ ( 2 ℤ + 1 ) ∖ { ± 1 } , p 2 ∈ 2 ℤ ∖ { 0 } ) , and D = { 0 , e 1 , e 2 , e 3 } in the space ℝ 3 is supported on T ( B , D ) , where e 1 , e 2 , and e 3 are the standard basis of unit column vectors in ℝ 3 , and there exist at most 4 mutually orthogonal exponential functions in L 2 ( μ B , D ) , where the number 4 is the best.
This generalizes the known results on the spectrality of self-affine measures.
American Psychological Association (APA)
Gao, Gui-Bao. 2014. Nonspectrality of Certain Self-Affine Measures on ℝ 3. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013654
Modern Language Association (MLA)
Gao, Gui-Bao. Nonspectrality of Certain Self-Affine Measures on ℝ 3. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013654
American Medical Association (AMA)
Gao, Gui-Bao. Nonspectrality of Certain Self-Affine Measures on ℝ 3. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013654
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013654