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elliptic operator

elliptic operator noun: any of a particular class of second-order linear differential operators.

Noun

elliptic operator (plural elliptic operators)

  1. Any of a particular class of second-order linear differential operators.
    • The study of second order elliptic operators over some of these infinite dimensional manifolds has been the subject of much work in the past forty years, some of it for the purposes of quantum field theory and some of it for the purposes of stochastic analysis or infinite dimensional differential...2001, L. Gross, Heat Kernel Analysis on Lie Groups, Laurent Decreusefond, Bernt Øksendal, Ali S. Üstünel (editors), Stochastic Analysis and Related Topics VII: Proceedings of the Seventh Silivri...
    • Just as in the usual elliptic theory, in the theory of nonlocal elliptic operators we need not restrict ourselves to individual operators but can also consider families of nonlocal elliptic operators.2008, Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin, Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators, Springer, page 37

Forms of elliptic operator

pluralelliptic operators

Origin of elliptic operator

From its association with a corresponding elliptic partial differential equation — a second-order linear partial differential equation with coefficients specified analogously to those of the equation of a conic section that generates an ellipse.

Questions about elliptic operator

What does elliptic operator mean?
Elliptic operator means any of a particular class of second-order linear differential operators.
What part of speech is elliptic operator?
Elliptic operator is a noun.
What is the plural of elliptic operator?
The plural of elliptic operator is elliptic operators.

Words near elliptic operator in the dictionary

  1. elliptic curves
  2. elliptic function
  3. elliptic functions
  4. elliptic geometries
  5. elliptic geometry
  6. elliptic operator
  7. elliptic operators
  8. elliptic paraboloid
  9. elliptic spring
  10. elliptic springs
  11. elliptic-curve cryptography

Source and license

Adapted from Wiktionary: elliptic operator (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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