Abstract
Unlike the unit sphere, the unit ball is a domain that has a boundary. The boundary usually makes analysis on the domain more difficult. It turns out, however, that analysis on the unit ball is closely related to analysis on the unit sphere. Indeed, a large portion of harmonic analysis on the unit ball can be deduced from its counterparts on the sphere.
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Dai, F., Xu, Y. (2013). Harmonic Analysis on the Unit Ball. In: Approximation Theory and Harmonic Analysis on Spheres and Balls. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6660-4_11
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DOI: https://doi.org/10.1007/978-1-4614-6660-4_11
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