Jaap Korevaar

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SCIENCE Information

Name                 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@uva.nl

Professional status and research interests

University of Amsterdam, Professor Emeritus since 1993

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.

Somewhat separate areas are the theory of distributions or generalized functions, and the theory of prime pairs.

In Korevaar's work, the various areas regularly overlap.

Selected publications:

Early work of N.G. (Dick) de Bruijn in analysis and some of my own. Indag. Math. 24 (2013), 668-678. pdf-file

The prime-pair conjectures of Hardy and Littlewood. Indag. Math. 23 (2012), 269-299. pdf-file

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. pdf-file

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

A very general form of Littlewood's theorem. Nederl. Akad. Wetensch. Proc. A 57 = Indag. Math. 16
(1954), 36-45.

Ph.D. Students

M.A. Monterie, Free University,Amsterdam, 1994
J.L.H. Meyers, University of Amsterdam, 1992
R.G.M. Brummelhuis, University of Amsterdam, 1988
R.L. Zeinstra, University of Amsterdam, 1985
J.J.O.O. Wiegerinck, University of Amsterdam, 1985
M.J. Dixon, University of California San Diego (La Jolla), 1975
D.T. Piele, University of California San Diego (La Jolla), 1970
C.K. Chui, University of Wisconsin (Madison), 1967
J. Molinar Elkins, University of Wisconsin (Madison), 1966
L. Nower, Stanford University, 1965
G.G. Walter, University of Wisconsin (Madison), 1962
M.D. Thompson, University of Wisconsin (Madison), 1962
T.L. McCoy, University of Wisconsin (Madison), 1961
J.E. Lange, University of Wisconsin (Madison), 1961
G.W. Hedstrom, University of Wisconsin (Madison), 1959
R.K. Meany, University of Wisconsin (Madison), 1958

Professional Organizations and Honors

Wiskundig Genootschap (Dutch Mathematical Society) (member 1942- , chairman 1982-84,
elected honorary member 1998)

American Association for the Advancement of Science (elected fellow 1960)

American Mathematical Society (member 1950- , elected fellow 2012)

KNAW (Royal Netherlands' Academy of Arts and Sciences)
(correspondent 1959-74, regular member 1975-)

Honorary doctor, University of Gothenburg (Sweden), 1978

For more details, see also J. Korevaar, Curriculum Vitae and Research, pdf-file

to the home page of Faculteit NWI

to the home page of the Korteweg de Vries instituut

Last modified: July 23, 2014