Scaling of spectra of Cantor-type measures and some number theoretic considerations
classification
🧮 math.NT
keywords
numbercantor-typemeasuressomeanalysisbasiscantorcomplete
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We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number $m$ generates a complete or incomplete Fourier basis for a Cantor-type measure with scale $g$.
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