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Spectrality of one dimensional self-similar measures with consecutive digits.

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Title: Spectrality of one dimensional self-similar measures with consecutive digits.
Authors: Deng, Qi-Rong1 dengfractal@126.com
Source: Journal of Mathematical Analysis & Applications. Jan2014, Vol. 409 Issue 1, p331-346. 16p.
Subjects: Dimensional analysis, Prime numbers, Orthonormal basis, Exponential functions, Exponents, Logarithms
Abstract: Abstract: Assume and is a prime, let be the self-similar measure defined by , . We prove that contains an orthonormal basis of exponential functions if and only if for some . [Copyright &y& Elsevier]
Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 90067265
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Spectrality of one dimensional self-similar measures with consecutive digits.
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  Data: <searchLink fieldCode="AR" term="%22Deng%2C+Qi-Rong%22">Deng, Qi-Rong</searchLink><relatesTo>1</relatesTo><i> dengfractal@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Mathematical+Analysis+%26+Applications%22">Journal of Mathematical Analysis & Applications</searchLink>. Jan2014, Vol. 409 Issue 1, p331-346. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Dimensional+analysis%22">Dimensional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Prime+numbers%22">Prime numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Orthonormal+basis%22">Orthonormal basis</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+functions%22">Exponential functions</searchLink><br /><searchLink fieldCode="DE" term="%22Exponents%22">Exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Logarithms%22">Logarithms</searchLink>
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  Data: Abstract: Assume and is a prime, let be the self-similar measure defined by , . We prove that contains an orthonormal basis of exponential functions if and only if for some . [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jmaa.2013.07.046
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 331
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      – SubjectFull: Dimensional analysis
        Type: general
      – SubjectFull: Prime numbers
        Type: general
      – SubjectFull: Orthonormal basis
        Type: general
      – SubjectFull: Exponential functions
        Type: general
      – SubjectFull: Exponents
        Type: general
      – SubjectFull: Logarithms
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      – TitleFull: Spectrality of one dimensional self-similar measures with consecutive digits.
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              Text: Jan2014
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