Delta operator

id: delta-operator-322-5527760
title: Delta operator
text: In mathematics, a delta operator is a shift-equivariant linear operator Q : K [ x ] ⟶ K [ x ] on the vector space of polynomials in a variable x over a field K that reduces degrees by one. To say that Q is shift-equivariant means that if g = f , then In other words, if f is a "shift" of g , then Q f is also a shift of Q g , and has the same "shifting vector" a . To say that an operator reduces degree by one means that if f is a polynomial of degree n , then Q f is either a polynomial of degree n
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Delta_operator
date created:
date modified: 2021-11-12T21:06:07Z
main entity: {"identifier":"Q5254796","url":"https://www.wikidata.org/entity/Q5254796"}
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