Notation Issues with \mathbb{R^+_*} in "Wavelets on the 2-Sphere

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The notation \mathbb{R^+_*} in "Wavelets on the 2-Sphere: A Group Theoretical Approach" is not explicitly defined in the paper, leading to confusion among readers. It is speculated that it may refer to "positive reals excluding zero," a definition some recall from earlier educational materials. This interpretation aligns with the context of the discussion, suggesting a consensus on its meaning. Clarification from the authors or further literature could help solidify this understanding. Overall, the notation remains ambiguous without formal definition in the text.
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I'm trying to read 'Wavelets on the 2-Sphere: A Group Theoretical Approach' by Antoine and Vanderghynst, available at http://citeseer.ist.psu.edu/antoine98wavelets.html. They introduce \mathbb{R^+_*}. Unfortunately, they don't seem to define this anywhere in the paper, and I've never come across such notation before. Anybody got any ideas?
 
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Could it mean "positive reals excluding zero" ?

When I was in elementary school, this was what the author of our textbook had it mean (as far as i can remember).
 
That makes sense in the context :) thanks
 

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