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

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The notation \mathbb{R^+_*} in the paper "Wavelets on the 2-Sphere: A Group Theoretical Approach" by Antoine and Vanderghynst refers to the set of positive real numbers excluding zero. This interpretation aligns with common mathematical conventions, although the authors do not explicitly define this notation in their work. The lack of definition has led to confusion among readers, emphasizing the importance of clear notation in mathematical texts.

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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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