Victor L. Shapiro Explained

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

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. 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.^[5] He was a professor at the University of California, Riverside from 1964 to 2010, when he retired as professor emeritus.^{[4] [5]} 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.^[6]

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

Selected publications

Articles

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

Books

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

Notes and References

1. Web site: Dr. Victor L. Shapiro. legacy.com. 4 April 2013.
2. Uniqueness of Multiple Trigonometric Series. Annals of Mathematics . Second Series. 66. 3. November 1957. 467–480. 10.2307/1969904. 1969904. 2027/mdp.39015095251560. free. Shapiro . Victor L. .
3. Ash, J. Marshall. Uniqueness of representation by trigonometric series. The American Mathematical Monthly. 96. 10. 1989. 873–885. 10.1080/00029890.1989.11972299.
4. Web site: Victor L. Shapiro, Professor of Mathematics, Emeritus. Mathematics Department, U. C. Riverside. 7 March 2013.
5. Web site: Victor L. Shapiro. ias.edu. 9 December 2019 .
6. Book: Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside. Lapidus, Michel L.. Harper, Lawrence H.. Rumbos, Adolfo J.. Providence, R.I.. American Mathematical Society. 1997. 9780821805657.