Abstract
The first order theory of the decomposition of measures with respect to dimension which has been developed by Kahane, Katznelson, Cutler, and others is extended through transfinite recursion to a ω 1 \omega _1 -order theory. Necessary and sufficient conditions for a finite regular Borel measure on [ 0 , d ] ω 1 [0,d]^{\omega _1} to be a ω 1 \omega _1 -order multispectrum for a finite Borel measure on R d \mathbb {R}^d is given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
