In this paper, we study the regularity of R R -differentiable functions on open connected subsets of the scaled hypercomplex numbers \ Hₜ\ t∈ R H t t ∈ R by studying the kernels of suitable differential operators \ ∇ ₜ\ t∈ R ∇ t t ∈ R , up to scales in the real field R R .
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Alpay et al. (2024) studied this question.
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