
We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .
Uniform boundedness, Bounded deformation, Integral transforms of special functions, Evolutionary biology, Astrophysics, Mathematical analysis, Orthogonal Polynomials, Bounded function, Differentiable function, QA1-939, FOS: Mathematics, Biology, Mathematical Physics, Applied Mathematics, Physics, existence, Pure mathematics, function of bounded variation, continuity, Quaternionic Analysis and Applications, Bounded variation, Henstock-Kurzweil integral transforms, Function (biology), Physical Sciences, Variation (astronomy), Special integral transforms (Legendre, Hilbert, etc.), p-adic Models in Mathematical Physics, Functional Calculus, Mathematics, differentiability
Uniform boundedness, Bounded deformation, Integral transforms of special functions, Evolutionary biology, Astrophysics, Mathematical analysis, Orthogonal Polynomials, Bounded function, Differentiable function, QA1-939, FOS: Mathematics, Biology, Mathematical Physics, Applied Mathematics, Physics, existence, Pure mathematics, function of bounded variation, continuity, Quaternionic Analysis and Applications, Bounded variation, Henstock-Kurzweil integral transforms, Function (biology), Physical Sciences, Variation (astronomy), Special integral transforms (Legendre, Hilbert, etc.), p-adic Models in Mathematical Physics, Functional Calculus, Mathematics, differentiability
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