Welcome to the home page of
Erik Koelink
My full address is
dr H.T. Koelink
Technische Universiteit Delft
Faculteit Elektrotechniek,
Wiskunde en Informatica (EWI)
Afdeling Toegepaste Wiskundige Analyse
Postbus 5031
2600 GA Delft
the Netherlands
The visiting address is
HB.04.030, Mekelweg 4
2628 CD Delft
Telephone: +31 15 2783639
Fax: +31 15 2787245
You can contact me by email at
h.t.koelinkSPAMFREE@tudelft.nl
(remove SPAMFREE).
You can find information on the following subjects
Nederlands Mathematisch Congres 2006, 27, 28 maart 2006,
TU Delft.
Foto impressie Nederlands Mathematisch Congres 2006
- Local events and seminars
- Nation wide events and seminars
- International conferences and meetings
My research concentrates on special functions, and in particular
on q-special functions, and their relationship to other
mathematical structures like (Lie) groups,
(dynamical) quantum groups, Hecke
algebras, and non-commutative geometry.
At the moment the special functions are one-variable
basic hypergeometric series like
Askey-Wilson polynomials,
q-Racah polynomials and their subclasses, as well
as q-analogues of the Bessel function, and Askey-Wilson
functions. Tools that are being used are representation
theory, spectral analysis,
operator algebras.
I am an editor of
Constructive
Approximation 
Jacob S. Christiansen, Nicola Ciccoli,
Paul Floris, Wolter Groenevelt,
Gert Heckman, Mourad Ismail,
Tom Koornwinder, Johan Kustermans, Yvette van Norden,
Mizan Rahman, Hjalmar Rosengren,
Jasper Stokman,
Rene Swarttouw,
Walter Van Assche,
Joris Van der Jeugt, Jan Verding.
- Hjalmar Rosengren, post-doc for the academic year
1999/2000.
- Johan Kustermans, post-doc for the academic year
2000/2001.
- Wolter Groenevelt
- Tensor product representations and
special functions
(June 2004)
- Yvette van Norden
- Dynamical quantum groups: duality and
special functions
(September 2005)
- Erik Koelink, Jan van Neerven, Ben de Pagter,
Guido Sweers (eds.),
Partial Differential Equations and Functional
Analysis (The Philippe Clément Festschrift),
Operator Theory: Advances and Applications 168,
Birkhäuser, 2006 (VI, 294 p., Hardcover
ISBN: 3-7643-7600-7).
Click here for the publisher.
- Erik Koelink and Walter Van Assche (eds.),
Orthogonal Polynomials and Special Functions:
Leuven 2002, Lecture Notes in Mathematics 1817,
Springer Verlag, 2003 (X, 249 p. Softcover
3-540-40375-2).
Click
here for the publisher's website from which the book is available
electronically.
- Mourad E. H. Ismail and Erik Koelink (eds.),
Theory and Applications of Special Functions.
A Volume Dedicated to Mizan Rahman,
Developments in Mathematics, Vol. 13,
Kluwer Academic Publishers,
2005, XVI, 491p., Hardcover
ISBN: 0-387-24231-7.
Click here for the publisher's webpage
and here
for the table of contents.
2007
- with Yvette van Norden, Pairings and actions for
dynamical quantum groups, Advances in Mathematics
208 (2007), 1-39.
2006
- with Jacob S. Christiansen, Self-adjoint difference
operators and symmetric
Al-Salam and Chihara polynomials,
preprint
math.CA/0610534
- with Jacob S. Christiansen, Self-adjoint difference operators and classical solutions to the
Stieltjes-Wigert moment problem, Journal of Approximation
Theory 140 (2006), 1-26.
2005
- with Yvette van Norden, The dynamical U(n) quantum group
preprint
math.QA/0508168, to appear in
International Journal of Mathematics and
Mathematical Sciences
- with Wolter Groenevelt and Hjalmar Rosengren.
Continuous Hahn functions as Clebsch-Gordan coefficients,
pp. 221-284 in "Theory and Applications of Special Functions.
A Volume Dedicated to Mizan Rahman" (eds. M. E. H. Ismail and E.
Koelink), Developments in Mathematics, Vol. 13,
Kluwer Academic Publishers,
2005.
- with Richard Askey and Mourad E.H. Ismail.
Mizan Rahman, his mathematics and literary writings,
pp. 1-28 in "Theory and Applications of Special Functions.
A Volume Dedicated to Mizan Rahman" (eds. M. E. H. Ismail and E.
Koelink), Developments in Mathematics, Vol. 13,
Kluwer Academic Publishers,
2005.
2004
- Spectral theory and special functions,
45-84 in `Laredo Lectures on Orthogonal Polynomials
and Special Functions' (eds. R. Álvarez-Nodarse,
F. Marcellán, W. Van Assche), Nova Science
Publishers, 2004.
- with Yvette van Norden and Hjalmar Rosengren.
Elliptic U(2) quantum group and elliptic hypergeometric series
, Communications in Mathematical Physics 245
(2004), 519-537. See also
math.QA/0304189
Na afspraak; zie boven voor contact gegevens.
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