Victor L. Shapiro

{{short description|American mathematician}}

Victor Lenard Shapiro (16 October 1924, Chicago – 1 March 2013, Riverside, California) was an American mathematician, specializing in trigonometric series and differential equations.{{cite web|title=Dr. Victor L. Shapiro|website=legacy.com|date=4 April 2013|url=https://www.legacy.com/obituaries/pe/obituary.aspx?n=victor-l-shapiro&pid=164026760}} He is known for his two theorems (published in 1957) on the uniqueness of multiple Fourier series.{{cite journal|title=Uniqueness of Multiple Trigonometric Series|journal=Annals of Mathematics |series=Second Series|volume=66|issue=3|date=November 1957|pages=467–480|doi=10.2307/1969904|jstor=1969904|hdl=2027/mdp.39015095251560|hdl-access=free|last1=Shapiro |first1=Victor L. }}{{cite journal|author=Ash, J. Marshall|title=Uniqueness of representation by trigonometric series|journal=The American Mathematical Monthly|volume=96|issue=10|year=1989|pages=873–885|url=http://condor.depaul.edu/mash/VicShapiroTribute.pdf|doi=10.1080/00029890.1989.11972299}}

Biography

{{quote|In September 1944, he was awarded the Combat Infantry Badge for action on the South Pacific island of Bougainville. In April 1945, serving as a combat medic with the 132nd infantry regiment, he was in the 6th wave of a beachhead landing on Cebu and saw much action in the ensuing campaign.}}

From the University of Chicago, Shapiro received B.Sc. in 1947, M.Sc. in 1949, and Ph.D. in 1952, all in mathematics.{{cite web|title=Victor L. Shapiro, Professor of Mathematics, Emeritus|website=Mathematics Department, U. C. Riverside|date=7 March 2013|url=https://mathdept.ucr.edu/pdf/Shapiro_Service.pdf}} His thesis advisor was Antoni Zygmund.{{MathGenealogy|id=6428|title=Victor Lenard Shapiro}} Shapiro was from 1952 to 1960 a professor at Rutgers University and from 1960 to 1964 a professor at the University of Oregon with 3 sabbatical years (in 1953–1955 and 1958–1959) at the Institute for Advanced Study.{{cite web|title=Victor L. Shapiro|website=ias.edu|date=9 December 2019 |url=https://www.ias.edu/scholars/victor-l-shapiro}} He was a professor at the University of California, Riverside from 1964 to 2010, when he retired as professor emeritus. He was the author of several books and the author or coauthor of over 80 articles in refereed journals.

Shapiro was elected in 2003 a Fellow of the American Association for the Advancement of Science (AAAS) and in 2012 a Fellow of the American Mathematical Society (AMS). In November 1995 in Riverside, California, a conference was held in his honor.{{cite book|title=Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside|editor=Lapidus, Michel L.|editor2=Harper, Lawrence H.|editor3=Rumbos, Adolfo J.|location=Providence, R.I.|publisher=American Mathematical Society|year=1997|isbn=9780821805657|url=https://books.google.com/books?id=WdAaCAAAQBAJ}}

Upon his death he was survived by his widow, 4 children, and 13 grandchildren.

Selected publications

=Articles=

  • {{cite journal|title=Circular summability C of double trigonometric series|journal=Transactions of the American Mathematical Society|volume=76|issue=2|year=1954|pages=223–233|jstor=1990766|doi=10.2307/1990766|last1=Shapiro|first1=Victor L.}}
  • {{cite journal|title=Fourier series in several variables|journal=Bulletin of the American Mathematical Society|volume=70|issue=1|year=1964|pages=48–93|doi=10.1090/S0002-9904-1964-11026-0|doi-access=free|last1=Shapiro|first1=Victor L.}}
  • {{cite journal|year=1974|title=Isolated singularities for solutions of the nonlinear stationary Navier-Stokes equations|journal= Trans. Amer. Math. Soc.|volume=187|pages=335–363|doi=10.1090/S0002-9947-1974-0380158-2|doi-access=free|last1=Shapiro|first1=Victor L.}}
  • {{cite journal|title=Generalized and classical solutions of the nonlinear stationary Navier-Stokes equations|journal=Trans. Amer. Math. Soc.|volume=216|year=1976|pages=61–79|doi=10.1090/S0002-9947-1976-0390550-X|doi-access=free|last1=Shapiro|first1=Victor L.}}
  • {{cite journal|year=1986|title=Resonance and quasilinear ellipticity|journal=Trans. Amer. Math. Soc.|volume=294|pages=567–584|doi=10.1090/S0002-9947-1986-0825722-7|doi-access=free|last1=Shapiro|first1=Victor L.|issue=2}}
  • {{cite journal|title=Resonance and the second BVP|journal=Trans. Amer. Math. Soc.|volume=325|year=1991|pages=363–387|doi=10.1090/S0002-9947-1991-0994172-7|doi-access=free|last1=Shapiro|first1=Victor L.}}
  • {{cite journal|year=2001|title=Quasilinearity below the 1st eigenvalue|journal=Proc. Amer. Math. Soc.|volume=129|pages=1955–1962|doi=10.1090/S0002-9939-01-06124-X|doi-access=free|last1=Shapiro|first1=Victor L.|issue=7}}
  • {{cite journal|year=2003|title=Fractals and distributions on the N-torus|journal=Proc. Amer. Math. Soc.|volume=131|pages=3431–3440|doi=10.1090/S0002-9939-03-06929-6|doi-access=free|last1=Shapiro|first1=Victor L.|issue=11}}
  • {{cite journal|year=2006|title=Poisson integrals and non tangential limits|journal=Proc. Amer. Math. Soc.|volume=134|pages=3181–3189|doi=10.1090/S0002-9939-06-08331-6|doi-access=free|last1=Shapiro|first1=Victor L.|issue=11}}

=Books=

  • {{cite book|title=Topics in Fourier and geometric analysis|series=Memoirs of the AMS, Number 39|year=1961|isbn=9780821812396|url=https://books.google.com/books?id=lKnTCQAAQBAJ|last1=Shapiro|first1=Victor L.}}
  • {{cite book|title=Singularity quasilinearity and higher eigenvalues|series=Memoirs of the AMS, Vol. 153, Number 726|year=2001|isbn=9780821827178|url=https://books.google.com/books?id=vZXUCQAAQBAj|last1=Shapiro|first1=Victor Lenard}}
  • {{cite book|title=Fourier series in several variables with applications to partial differential equations|publisher=CRC Press|year=2011|isbn=9781439854280|url=https://books.google.com/books?id=0TE9AJ32RvUC}}

References