SCIENCE
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SCIENCE
InformationName Jacob (Jaap) Korevaar Department KdV Institute for Mathematics Projectgroup Analysis Telephone 6091 (+31 20 525 6091) Fax 5101 (+31 20 525 5101) E-mail j.korevaar This is my username and will only work from inside the science domain. If you mail me from outside you need to add @uva.nl to my username
Research areas: Complex Analysis and Approximation Theory
Here complex analysis includes classical function theory
and
aspects of several complex variables,
as well as the related area of potential theory.
The approximation theory includes complex approximation, Tauberian theory and quadrature theory.
A somewhat separate area is the theory of distributions or generalized functions.
In Korevaar's work, the various areas regularly overlap.
Selected publications:
Fourier Analysis and Related Topics (book ms) pdf-file
How do the prime numbers jump (Dutch). Nieuw Arch. Wiskd. (5) 11 (2011), 244-249. pdf-file
(With Herman te Riele) Average prime-pair counting formula. Math. Comp. 79 (2010), 1209-1229. pdf-file
Prime pairs and the zeta function. J. Approx. Theory 158 (2009), 69-96. pdf-file
Distributional Wiener-Ikehara theorem and twin primes. Indag. Math. (N.S.) 16 (2005), 37-49. pdf-file
(Book) Tauberian Theory, a Century of Developments. Grundl. math. Wiss. vol. 329, Springer, Berlin, 2004.
A century of complex Tauberian theory. Bull. Amer. Math. Soc. (N.S.) 39 (2002), 475-531.
Growth of power series with square-root gaps. J. Analyse Math. 85 (2001), 177-194.
(With M.A. Monterie) Fekete potentials and polynomials for continua. J. Approx. Theory 109 (2001), 110-125.
On a question of Brézis and Nirenberg concerning the degree of circle maps. Selecta Math. , New Ser. 5 (1999), 233-246.
(With L. Bos) Characterization of algebraic sets by Chebyshev quadrature. J. Analyse Math. 75 (1998), 233-246.
Chebyshev-type quadratures: use of complex analysis and
potential theory. Lecture notes prepared with the
assistance of A.B.J. Kuijlaars. In: Complex Potential
Theory (P.M. Gauthier and G. Sabidussi, eds.),
Kluwer, Dordrecht, 1994, pp 325-364.
Applications of C^N capacities. In: Several Complex Variables
and Complex Geometry, Santa Cruz 1989
(E. Bedford at al., eds.). Proc. Sympos. Pure Math. vol.
52, Amer. Math. Soc. , Providence, RI, 1991.
Part 1, pp 105-118.
(With contributions by R. Zeinstra and J. Wiegerinck)
Müntz-type theorems for arcs and for R^n. In: Second
Edmonton Conf. on Approximation Theory, 1982 (Z. Ditzian
et al., eds.). Canad. Math. Soc. Conf. Proc. vol. 3,
Amer. Math. Soc., Providence, R.I., 1983, pp 199-225.
On Newman's quick way to the prime number theorem. Math. Intelligencer 4 (1982), 108-115. pdf-file
(With H. Alexander) Approximation on wild Jordan curves. J. London Math. Soc. (2) 13 (1976), 317-322.
(Book) Mathematical Methods. Vol. 1, Linear Algebra, Normed
Spaces, Distributions, Integration.
Academic Press, New York, 1968.
Limits of polynomials whose zeros lie in a given set.
In: Entire Functions and Related Parts of Analysis,
La Jolla 1966 (J. Korevaar et al., eds.), Proc. Symp.
Pure Math. vol. 11, Amer. Math. Soc., Providence, RI,
1968, pp 261-272.
Distribution proof of Wiener's Tauberian theorem. Proc. Amer. Math. Soc. 16 (1965), 353-355. pdf-file
Asymptotically neutral distributions of electrons and
polynomial approximation. Ann. of Math. (2) 80 (1964), pdf-file
403-410.
A very general form of Littlewood's theorem. Nederl. Akad.
Wetensch. Proc. A 57 = Indag. Math. 16
(1954), 36-45.
Thomas Stieltjes Institute for Mathematics
American Mathematical Society (honorary member),
KNAW (Royal Netherlands' Academy of Arts and Sciences)
(correspondent 1959-74, regular member 1975-)
Honorary doctor, University of Gothenburg (Sweden), 1978
to the home page of Faculteit NWI
to the home page of the Korteweg de Vries instituut
Last modified: Wednesday, 01-June-2011, 16:00 MEST