Harry Pollard (mathematician) explained
Harry Pollard (28 February 1919 – November 20, 1985)[1] was an American mathematician. He received his Ph.D from Harvard University in 1942 under the supervision of David Widder. He then taught at Cornell University, and was Professor of Mathematics at Purdue University from 1961 until his death in 1985. He is known for his work on celestial mechanics, orthogonal polynomials and the n-body problem[1] as well as for the several textbooks he authored or co-authored. In the theory of Orthogonal polynomials, Pollard solved a conjecture of Antoni Zygmund, establishing mean convergence of the partial sums in
norms for the
Legendre polynomials and
Jacobi polynomials in a series of three papers in the Transactions of the American Mathematical Society. The first of these papers deals with the fundamental case of
Legendre polynomials.
[2] The end point cases in Pollard's theorem was established by Sagun Chanillo.
[3] Books
- . Originally published 1950.[4] 3rd edition, 1998 Dover reprint.[5]
- .[6]
Notes and References
- .
- Pollard, Harry.. The Mean Convergence of Orthogonal Series I. Transactions of the American Mathematical Society. 62. 3. 1947. 387–403. 10.1090/S0002-9947-1947-0022932-1 . free.
- Chanillo, Sagun. On the Weak Behaviour of Partial Sums of Legendre Series. Transactions of the American Mathematical Society. 268. 2. 1981. 367–376. 10.1090/S0002-9947-1981-0632534-1. free.
- Review of The Theory of Algebraic Numbers by Mordan Ward (1951), Math. Mag. 25 (2): 105, .
- Web site: Glass, Darren. July 19, 2011. Review of The Theory of Algebraic Numbers. MAA Reviews, Mathematical Association of America.
- Review of Applied Mathematics: An Introduction by N. D. Kazarinoff (1973), Math. Mag. 46 (3): 164–165, .
- Web site: Sawyer, Megan. September 13, 2017. Review of Ordinary Differential Equations. MAA Reviews, Mathematical Association of America.
