Bernstein–Sato polynomial
- Bernstein–Sato polynomial
In mathematics, the Bernstein-Sato polynomial is a construction of Joseph Bernstein and Mikio Sato, based on an algebraic theory of differential operators. It is also known as the Bernstein polynomial, the b-function, and the b-polynomial (it is not related to the Bernstein polynomials used in approximation theory). It has turned out to have many mathematical connections, for example to singularity theory and monodromy theory.
The Bernstein-Sato polynomial was introduced independently by
*citation|first=Masaki |last=Kashiwara|title=D-modules and Microlocal Calculus|series= Translations of Mathematical Monographs| volume= 217 |series=Iwanami Series in Modern Mathematics|publisher= American Mathematical Society|publication-place= Providence, RI|year= 2003| ISBN =0821827669
Wikimedia Foundation.
2010.
Look at other dictionaries:
Bernstein — It may refer to:People* Dan Bern, American musician who previously performed under the name Bernstein * Eric Berne, American psychiatrist and writer * Aaron Bernstein * Alexander Bernstein, Baron Bernstein of Craigweil, British television… … Wikipedia
Bernstein — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Sommaire 1 Patronyme 2 Toponymes 3 Lieux … Wikipédia en Français
List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… … Wikipedia
Théorème de Bernstein — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Plusieurs théorèmes sont dus à divers mathématiciens portant le nom de Bernstein . Sergeï Natanovitch Bernstein : théorème de Bernstein sur les … Wikipédia en Français
Polynôme de Bernstein — Ne doit pas être confondu avec Polynôme de Bernstein Sato (en) Les polynômes de Bernstein, nommés ainsi en l honneur du mathématicien ukrainien S. Bernstein, permettent de donner une démonstration constructive du théorème de Stone… … Wikipédia en Français
Joseph Bernstein — (sometimes spelled I. N. Bernshtein or Iosif Naumovič Bernštejn , he. יוס(י)ף נאומוביץ ברנשטיין, ru. Иосиф Наумович Бернштейн) (born April 18, 1945 in Moscow) is an Israeli mathematician working at Tel Aviv University. He works in algebraic… … Wikipedia
Bernstein's theorem — In mathematics, Bernstein s theorem may refer to: Bernstein s theorem about the Sato–Bernstein polynomial Bernstein s problem about minimal surfaces Bernstein s theorem on monotone functions Bernstein s theorem (approximation theory) This… … Wikipedia
D-module — In mathematics, a D module is a module over a ring D of differential operators. The major interest of such D modules is as an approach to the theory of linear partial differential equations. Since around 1970, D module theory has been built up,… … Wikipedia
Malgrange–Ehrenpreis theorem — In mathematics, the Malgrange–Ehrenpreis theorem states that every non zero linear differential operator with constant coefficients has a Green s function. It was first proved independently by Leon Ehrenpreis (1954, 1955) and Bernard… … Wikipedia
List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… … Wikipedia
