Victor L. Shapiro

Victor Lenard Shapiro (16 October 1924, Chicago – 1 March 2013, Riverside, California) was an American mathematician, specializing in trigonometric series and differential equations.[1] He is known for his two theorems (published in 1957) on the uniqueness of multiple Fourier series.[2][3]

Biography

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.[1]

From the University of Chicago, Shapiro received B.Sc. in 1947, M.Sc. in 1949, and Ph.D. in 1952, all in mathematics.[4] His thesis advisor was Antoni Zygmund.[5] 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.[6] He was a professor at the University of California, Riverside from 1964 to 2010, when he retired as professor emeritus.[4][6] He was the author of several books and the author or coauthor of over 80 articles in refereed journals.[4]

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).[1] In November 1995 in Riverside, California, a conference was held in his honor.[7]

Upon his death he was survived by his widow, 4 children, and 13 grandchildren.[1]

Selected publications

Articles

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

Books

• Topics in Fourier and geometric analysis. Memoirs of the AMS, Number 39. 1961.
• Singularity quasilinearity and higher eigenvalues. Memoirs of the AMS, Vol. 153, Number 726. 2001.
• Fourier series in several variables with applications to partial differential equations. CRC Press. 2011.

References

1. "Dr. Victor L. Shapiro". legacy.com. 4 April 2013.
2. "Uniqueness of Multiple Trigonometric Series". Annals of Mathematics. Second Series. 66 (3): 467–480. November 1957. doi:10.2307/1969904. hdl:2027/mdp.39015095251560. JSTOR 1969904.
3. Ash, J. Marshall (1989). "Uniqueness of representation by trigonometric series" (PDF). The American Mathematical Monthly. 96 (10): 873–885. doi:10.1080/00029890.1989.11972299.
4. "Victor L. Shapiro, Professor of Mathematics, Emeritus" (PDF). Mathematics Department, U. C. Riverside. 7 March 2013.
5. Victor Lenard Shapiro at the Mathematics Genealogy Project
6. "Victor L. Shapiro". ias.edu.
7. Lapidus, Michel L.; Harper, Lawrence H.; Rumbos, Adolfo J., eds. (1997). Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside. Providence, R.I.: American Mathematical Society.