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Jørgensen, Palle E. T.; Pedersen, Steen

Orthogonal harmonic analysis of fractal measures. (English) Zbl 0893.28005

Electron. Res. Announc. Am. Math. Soc. 4, No. 6, 35-42 (1998).
Summary: We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmonic analysis.

Cited in 1 Review
Cited in 9 Documents

MSC:

28A75 Length, area, volume, other geometric measure theory
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
46L55 Noncommutative dynamical systems

Keywords:

spectral pair; tiling; Fourier basis; self-similar measure; fractal; affine iteration; spectral resolution; Hilbert space
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Full Text: DOI EuDML

References:

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