Number Theoretic Considerations Related To The Scaling Of Spectra Of Cantor-Type Measures

Keywords

base n decomposition; Cantor set; Fourier basis; prime decomposition; spectral measure

Abstract

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.

Publication Date

9-1-2018

Publication Title

Analysis Mathematica

Volume

44

Issue

3

Number of Pages

335-367

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10476-018-0505-5

Socpus ID

85053333136 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85053333136

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