Harmonic properties of some arithmetical sequences
Tóm tắt
We discuss the harmonic properties of a class of sequences which contains the so-called paper folding sequences; meanperiodicity is first studied, then a sufficient condition is given for the existence of a spectral measure.
Tài liệu tham khảo
Coquet J., Kamae T., Mendés-France M., Sur la mesure spectrale de certaines suites arithmétiques,Bull. Soc. Math. France 105 (1977) 369–384
Coquet J., Liardet P., Répartition uniforme des suites et indépen- dance statistique,Comoosito Mathematica, to appear
Davis C., Knuth D.E., Number representations and dragon curves,J. Recreational Math. 3 (1970), 61–81and 133–149
Dekking F.M., Constructies voor 0-1-rijen met strikt ergodische afgesloten baan,Doctoraalscriptie (1974)
Delange H., Sur les fonctions q-additives ou q-multiplicatives,Acta Arithmetiea 21 (1972), 285–298
Mendes-France M., Tenenbaum G., Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro,Bull. Soc. Math. France 109 (1981) 207–215
Mendes-France M., Var der Poorten A.J., Arithmetic and analytic properties of paper folding sequencesBull, of the Australian Math. Soc. 24 (1981), 123–131
Wiener N., The Fourier integral and certain of its applications,New-York, Dover Publications (1958)