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 finite order theorem 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.
This article treats two forms of the Peetre theorem. The first is the original version which, although quite useful in its own right, is actually too general for most applications.
In mathematics, the (linear) Peetretheorem, named after Jaak Peetre, is a result of functional analysis that gives a characterisation of differential...
Peetre is an Estonian surname. Notable people with the surname include: Jaak Peetre (1935–2019), Estonian-Swedish mathematician Peetretheorem Peetre's...
Peetre (29 July 1935, in Tallinn – 1 April 2019, in Lund) was an Estonian-born Swedish mathematician. He is known for the Peetretheorem and Peetre's...
that differential operators are local. A foundational result is the Peetretheorem showing that the converse is also true: any (linear) local operator...
working on analysis and probability, who introduced the Riesz–Thorin theorem. Peetre, Jaak; Grandell, Jan; Bondesson, Lennart (2008), "The life and work...
(1964), or Theorem 3.7.1, p. 54 in Bergh & Löfström (1976). see chap. II in Lions & Peetre (1964). see chap. 5, Théorème 2.2, p. 37 in Lions & Peetre (1964)...
Seminar on the History of Mathematics (in French). 3: 83–121. MR 0651728. Peetre, Jaak (1988). Function spaces and applications (Lund, 1986). Lecture Notes...
smoothness. However, it can also be proved in a much shorter way using Peetre's K-functionals. Let: x 0 := a , h := b − a k , x j := x + 0 + j h , F (...
Related Topics: Proceedings of the International Conference in Honour of Jaak Peetre on His 65th Birthday : Lund, Sweden, August 17–22, 2000, De Gruyter: Proceedings...
by S. V. Hruščev and V. V. Peller. Translated from the Russian by Jaak Peetre". Bull. Amer. Math. Soc. (N.S.). 16: 297–298. doi:10.1090/S0273-0979-1987-15522-4...
funktioner af komplexa variabla”. Manuscript, 1879. Translation by Jaak Peetre “On hypergoniometric functions of complex variables”. https://web.archive...
Global Information