differential operator

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differential operator

[‚dif·ə′ren·chəl ′äp·ə‚rād·ər]
(mathematics)
An operator on a space of functions which maps a function ƒ into a linear combination of higher-order derivatives of ƒ.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
It is convenient to systematically review the arising of higher-spin (super) algebras in Calogero systems by analyzing the symmetry, realized by first-order differential operators, of the (matrix) Partial Differential Equations containing Calogero potentials.
The closure, at v = 0, of the ordinary 1 + 1-dimensional Schrodinger algebra, with the extra sl(2) [direct sum] w(1) first-order differential operators g x [[??].sub.2] introduced above, immediately follows.
For the sake of giving the explicit formula for the subLaplacian [L.sub.[omega]] on [N.sub.[omega]] = C [x.sub.[omega]] [C.sup.n], a basis of formed by first-order differential operators on functions of [N.sub.[omega]] is needed.
and the first-order differential operators [E.sub.x,y] and [F.sub.x,y] defined by

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