Jaap Korevaar

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

403-410.
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 



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Last modified: July 23, 2014