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nilpotent Jordan block

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    The Nonexistence of Internal Fractional Models on \(P_n\)

    by Ariel Daley
    43 views

    Abstract. We prove that the ordinary differentiation operator on the finite-dimensional polynomial space \[ P_n := \{p(x)\in \mathbb{C}[x] : \deg p \le n\} \] cannot serve as an internal model for classical fractional calculus. Here, by an internal model we mean a family of linear endomorphisms acting on the same …

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