William Beckner (mathematician)

{{Short description|American mathematician (born 1941)}}

{{for|other people with similar names|William Beckner (disambiguation)}}

{{Infobox scientist

|name = William Beckner

|image =

|image_size =

|caption =

|birth_date = {{Birth date and age|1941|9|15}}

|birth_place = Kirksville, Missouri, US

|field = Mathematics

|work_institutions = University of Texas, Austin
Princeton University
University of Chicago

|alma_mater = Princeton University
University of Missouri (Columbia)

|doctoral_advisor = Elias Stein

|doctoral_students = Emanuel Carneiro

|known_for = Sharp Inequalities
Babenko–Beckner inequality

|awards = Salem Prize (1975)

}}

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 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

  • {{cite journal

| last=Beckner

| first=William

| title=Inequalities in Fourier Analysis

| journal=Annals of Mathematics

| volume=102

| issue=1

| pages=159–182

| year=1975

| doi=10.2307/1970980

| jstor=1970980

}}

  • {{cite journal

| last=Beckner

| first=William

| title=Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality

| journal=Annals of Mathematics

| volume=138

| issue=1

| pages=213–242

| year=1993

| doi=10.2307/2946638

| jstor=2946638

}}

  • {{cite book

| last=Beckner

| first=William

| chapter=Geometric inequalities in Fourier analysis

| title=Essays on Fourier Analysis in Honor of Elias M. Stein

| publisher=Princeton University Press

| pages=36–68

| year=1995

| jstor=j.ctt7ztk2g.5

| isbn=9780691603650

}}

See also

References

{{reflist}}