Differential algebra

Pincherle derivative

In mathematics, the Pincherle derivative of a linear operator on the vector space of polynomials in the variable x over a field is the commutator of with the multiplication by x in the algebra of endomorphisms . That is, is another linear operator (for the origin of the notation, see the article on the adjoint representation) so that This concept is named after the Italian mathematician Salvatore Pincherle (1853–1936). (Wikipedia).

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Related pages

Differential operator | Polynomial | Commutator | Salvatore Pincherle | Vector space | Characteristic (algebra) | Mathematics | Adjoint representation | Delta operator | Field (mathematics) | Function composition | Umbral calculus | Derivative | Jacobi identity | Lie algebra | Mathematical induction | Endomorphism ring