Mathematician:Joseph Leonard Walsh

Mathematician

American mathematician who worked mainly in the field of analysis.

Nationality

American

History

• Born: 21 September 1895 in Washington, D.C., USA
• Died: 6 December 1973 in College Park, Maryland, USA

Theorems and Definitions

• Walsh Function
• Walsh Code
• Walsh Matrix

• Walsh-Lebesgue Theorem (with Henri Léon Lebesgue)
• Grace-Walsh-Szegő Coincidence Theorem (with John Hilton Grace and Gábor Szegő)

Results named for Joseph Leonard Walsh can be found here.

Definitions of concepts named for Joseph Leonard Walsh can be found here.

Publications

• 1922: On the location of the roots of certain types of polynomials (Trans. Amer. Math. Soc. Vol. 24, no. 3: pp. 163 – 180)
• 1928: Über die Entwicklung einer harmonischen Funktion nach harmonischen Polynomen (J. reine angew. Math. Vol. 159: pp. 197 – 209)
• 1929: The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions (Bull. Amer. Math. Soc. Vol. 35, no. 2: pp. 499 – 544)
• 1933: Notes on the location of the critical points of Green's function (Bull. Amer. Math. Soc. Vol. 39, no. 10: pp. 775 – 782)
• 1941: On approximation by euclidean and non-euclidean translations of an analytic function (Bull. Amer. Math. Soc. Vol. 47, no. 12: pp. 916 – 920) (with Wladimir Seidel)
• 1953: On the derivative of a polynomial and Chebyshev approximation (Proc. Amer. Math. Soc. Vol. 4, no. 1: pp. 76 – 87) (with T.S. Motzkin)
• 1956: On the location of the zeros of certain orthogonal functions (Proc. Amer. Math. Soc. Vol. 7, no. 6: pp. 1085 – 1090) (with J.P. Evans)
• 1956: On the boundary behavior of a conformal map (Trans. Amer. Math. Soc. Vol. 81, no. 1: pp. 49 – 73) (with Lawrence Rosenfeld)
• 1963: A generalization of Fejér's principle concerning the zeros of extremal polynomials (Proc. Amer. Math. Soc. Vol. 14, no. 1: pp. 44 – 57)
• 1964: Fundamental properties of generalized splines (Proc. Natl. Acad. Sci. U S A Vol. 52, no. 6: pp. 1412 – 1419) (with J.H. Ahlberg and E.N. Nilson)
• 1965: Convergence properties of generalized splines (Proc. Natl. Acad. Sci. U S A Vol. 54, no. 2: pp. 344 – 350) (with J.H. Ahlberg and E.N. Nilson)
• 1967: Complex cubic splines (Trans. Amer. Math. Soc. Vol. 129, no. 3: pp. 391 – 413) (with J H. Ahlberg and E.N. Nilson)

Sources

• John J. O'Connor and Edmund F. Robertson: "Joseph Leonard Walsh": MacTutor History of Mathematics archive