William Beckner (mathematician)

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.

William Beckner
Born (1941-09-15) September 15, 1941
NationalityAmerican
Alma materPrinceton University
University of Missouri (Columbia)
Known forSharp Inequalities
Babenko–Beckner inequality
AwardsSalem Prize (1975)
Scientific career
FieldsMathematics
InstitutionsUniversity of Texas, Austin
Princeton University
University of Chicago
Doctoral advisorElias Stein
Doctoral studentsEmanuel Carneiro

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

Selected publications

  • Beckner, William (1975). "Inequalities in Fourier Analysis". Annals of Mathematics. 102 (1): 159–182. doi:10.2307/1970980. JSTOR 1970980.
  • Beckner, William (1993). "Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality". Annals of Mathematics. 138 (1): 213–242. doi:10.2307/2946638. JSTOR 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.5.
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See also

References

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