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

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:0022247X
DOI:10.1016/j.jmaa.2013.07.046