William Beckner

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William Beckner (born September 15, 1941 in Kirksville (Missouri) ) is an American mathematician.

Beckner first studied physics at the University of Missouri in Columbia with a bachelor's degree in 1963 and received his doctorate in mathematics from Princeton University in 1975 with Elias Stein (Inequalities in Fourier Analysis). As a post-doctoral student he was with Alberto Calderon at the University of Chicago . He is the Montgomery Professor of Mathematics at the University of Texas at Austin . From 2007 to 2011 he was head of the mathematics faculty there.

He deals with Fourier analysis and geometric inequalities (inequalities in function spaces and statements that these make about the geometry of the underlying manifold). He pursues relationships with differential geometry, mathematical physics and partial differential equations.

In 1975 Beckner received the Salem Prize . In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki (Basic problems in Fourier analysis). In 1977 he was a Sloan Research Fellow . He is a fellow of the American Mathematical Society .

From 2000 to 2005 he was editor of the Transactions of the American Mathematical Society.

Fonts

  • Inequalities in Fourier analysis, Ann. Math., 102: 159-182 (1975).
  • Sobolev inequalities, the Poisson semigroup and analysis on the sphere, Proc. Nat. Acad. Sci. 89: 4816-4819 (1992).
  • Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality, Ann. Math. 138: 213-242 (1993).
  • Geometric inequalities in Fourier analysis, Essays on Fourier Analysis in Honor of Elias M. Stein, Princeton University Press, 1995, 36–68.
  • Pitt's inequality and the uncertainty principle, Proc. Amer. Math. Soc. 123: 1897-1905 (1995).
  • Logarithmic Sobolev inequalities and the existence of singular integrals, Forum Math. 9 (1997), 303-323.
  • Sharp inequalities and geometric manifolds, J. Fourier Anal. Appl. 3: 825-836 (1997).
  • Geometric proof of Nash's inequality, Int. Math. Res. Notices (1998), 67-72.

Web links

Individual evidence

  1. ↑ William Beckner in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Beckner, William
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH September 15, 1941
PLACE OF BIRTH Kirksville, Missouri