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About: Peetre theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatTheoremsInFunctionalAnalysisyago:Abstraction100002137yago:Communication100033020yago:Function113783816yago:MathematicalRelation113783581yago:Message106598915yago:Operator113786413yago:Proposition106750804yago:Relation100031921yago:Statement106722453yago:Theorem106752293yago:WikicatDifferentialOperators New Facet based on Instances of this Class

In mathematics, the (linear) Peetre theorem, named after Jaak Peetre, is a result of functional analysis that gives a characterisation of differential operators in terms of their effect on generalized function spaces, and without mentioning differentiation in explicit terms. The Peetre theorem is an example of a in which a function or a functor, defined in a very general way, can in fact be shown to be a polynomial because of some extraneous condition or symmetry imposed upon it.