Infinite convolutions generated by equivalent digit sequences converge together, preserve equi-positivity, and under admissible-pair conditions admit a common spectrum, yielding non-compactly supported spectral measures in R^d.
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Existence, equivalence and spectrality of infinite convolutions in $\R^d$
Infinite convolutions generated by equivalent digit sequences converge together, preserve equi-positivity, and under admissible-pair conditions admit a common spectrum, yielding non-compactly supported spectral measures in R^d.