William Beckner (mathematician)

For other people with similar names, see William Beckner (disambiguation).

William Beckner
Born	(1941-09-15) September 15, 1941 Kirksville, Missouri, USA
Nationality	American
Alma mater	Princeton University University of Missouri (Columbia)
Known for	Sharp Inequalities Babenko–Beckner inequality
Awards	Salem Prize (1975)
Scientific career
Fields	Mathematics
Institutions	University of Texas, Austin Princeton University University of Chicago
Doctoral advisor	Elias Stein

William Beckner (born September 15, 1941) is an American mathematician, known for his work in harmonic analysis, especially geometric inequalities. He is the Paul V. Montgomery Centennial Memorial Professor in Mathematics at The University of Texas at Austin.

Education

Beckner earned his Bachelor of Science in physics from the University of Missouri in Columbia, Missouri in 1963, where he became a member of the Phi Beta Kappa Society. He later earned his Ph.D. in mathematics at Princeton University in Princeton, New Jersey, where his doctoral adviser was Elias Stein. He also completed some postgraduate work in mathematics under adviser A.P. Calderon at the University of Chicago.

Awards and honors

• Salem Prize
• Sloan Fellow
• Fellow of the American Mathematical Society.

Selected publications

• Beckner, William (1975). "Inequalities in Fourier Analysis". Annals of Mathematics. 102 (1): 159–182. doi:10.2307/1970980.

• Beckner, William (1993). "Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality". Annals of Mathematics. 138: 213–242. doi:10.2307/2946638.
• Beckner, William (1995). "Geometric inequalities in Fourier analysis". Essays on Fourier Analysis in Honor of Elias M. Stein. Princeton University Press. pp. 36–68. JSTOR j.ctt7ztk2g.

See also

• Babenko–Beckner inequality
• Hirschman uncertainty

External links

• Beckner's home page
• William Beckner at the Mathematics Genealogy Project