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[]

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

Books[]

• Shapiro, Victor L. (1961). Topics in Fourier and geometric analysis. Memoirs of the AMS, Number 39. ISBN 9780821812396.
• Shapiro, Victor Lenard (2001). Singularity quasilinearity and higher eigenvalues. Memoirs of the AMS, Vol. 153, Number 726. ISBN 9780821827178.
• Fourier series in several variables with applications to partial differential equations. CRC Press. 2011. ISBN 9781439854280.

References[]