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Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions (2502.20737v1)
Published 28 Feb 2025 in math.CV
Abstract: The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.