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On measurable orthogonally exponential functions

✍ Scribed by Janusz Brzdek

Publisher
Springer
Year
1999
Tongue
English
Weight
80 KB
Volume
72
Category
Article
ISSN
0003-889X

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Let Β΅ M,D be a self-affine measure corresponding to a given affine iterated function system {Ο† d (x) = M -1 (x + d)} d∈D . In the present paper we will study the problem of how to determine the L 2 (Β΅ M,D )-space has finite or infinite orthogonal exponentials. Such research is motivated by a conject