O ct 2 00 6 FOURIER FREQUENCIES IN AFFINE ITERATED FUNCTION SYSTEMS

@inproceedings{Dutkay2006OC2,
  title={O ct 2 00 6 FOURIER FREQUENCIES IN AFFINE ITERATED FUNCTION SYSTEMS},
  author={Dorin Ervin Dutkay and Palle E. T. Jorgensen},
  year={2006}
}
We examine two questions regarding Fourier frequencies for a class of iterated function systems (IFS). These are iteration limits arising from a fixed finite families of affine and contractive mappings in R d , and the " IFS " refers to such a finite system of transformations, or functions. The iteration limits are pairs (X, µ) where X is a compact subset of R d , (the support of µ) and the measure µ is a probability measure determined uniquely by the initial IFS mappings, and a certain strong… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 10 references

Spectral theory for Borel sets in R n of finite measure

Palle E. T. Jorgensen, Steen Pedersen
Analysis and Probability : Wavelets , Signals , Fractals , Vol . 234 of Graduate Texts in Mathematics , Springer , New York , to appear • 2006

Random iteration of analytic maps

J.-P. Conze, A. Raugi
Ergodic Theory Dynam . Systems • 2004

Fonctions harmoniques pour un opérateur de transition et applications

Albert Raugi Jean-Pierre Conze
Bol . Soc . Brasil . Mat . ( N . S . ) • 1996

Strichartz , Mock Fourier series and transforms associated with certain Cantor measures

V. Prasolov, Yu. Ilyashenko
( Eds . ) , Surveys in Modern Mathematics , Vol . 321 of London Math . Soc . Lecture Note Ser • 1994

Pavages auto - affines , opérateurs de transfert et critères de réseau dans R d

J.-P. Conze, L. Hervé, A. Raugi
Bull . Soc . Math . France • 1990

; Separation properties for self - similar sets

Andreas Schief
Proc . Amer . Math . Soc . • 1987

Solution of an inverse problem for fractals and other sets.

Proceedings of the National Academy of Sciences of the United States of America • 1986

On the Hausdorff dimension of general Cantor sets

T. K. Carne, D. Minda, T. W. Ng
Proc . Cambridge Philos . Soc . • 1965

; Wang , Jianrong ; Mean quadratic variations and Fourier asymptotics of self - similar measures

Ka-Sing
J . Anal . Math .

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