2.2. Representation Theory, Operator Algebras and Complex Analysis

Papers in journals and proceedings

A. BESSER, P. MOREE, On an invariant related to a linear inequality, Arch. Math. 79, 463-471.

A. BULTHEEL, P. GONZÁLEZ-VERA, E. HENDRIKSEN, O. NJåSTAD., (2002) A rational Stieltjes problem, Appl. Math. Comput. 128, 217-235.

M.G. DE BRUIN, (2002) Regularity of some `incomplete' Pál-type interpolation problems, Journal of Computational and Applied Mathematics 145, 407-415.

M.G. DE BRUIN, W.G.M. GROENEVELT, H.G. MEIJER, (2002) Zeros of Sobolev orthogonal polynomials of Hermite type, Applied Mathematics and Computation 132, 135-166.

M.G. DE BRUIN, D.H. MACHE, (2002) (0,1) Pál-type interpolation: a general method for regularity, in Advanced Problems in Constructive Approximation, M.D. Buhmann and D.H. Mache (eds.), Birkhäuser verlag Basel, International Series of Numerical Mathematics 142, 21-26.

M.G. DE BRUIN, H.G. MEIJER, (2002) Zeros of orthogonal polynomials following from coherent pairs, Journal of Computational and Applied Mathematics 139, 253-274.

G. VAN DIJK, (2002) A new approach to Berezin kernels and canonical representations, Asymptotic Combinatorics with Applications in Mathematical Physics (V.A. Malyshev and A.M. Vershik, eds.),279-300 , Kluwer Ac. Publishers.

G. VAN DIJK, (2002) On canonical representations and Berezin kernels, Geometry and Analysis on Lie Groups, Banach Center Publications, vol. 55, 253-268.

G. VAN DIJK, M. PEVZNER, (2002) Matrix-valued Berezin kernels, Geometry and Analysis on Lie Groups, Banach Center Publications, vol. 55, 269-288.

G. VAN DIJK, M. PEVZNER, (2002) Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type, Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods, Part 7 (A.M. Vershik ed.), Zapiski Nauchnyh Seminarov POMI, vol. 292, 11-21.

A.F.M. TER ELST, H. PRADO, (2002) Gaussian bounds for reduced heat kernels of sub-elliptic operators on nilpotent Lie groups, Math. Scand. 90, 251-266.

(2002) A. GIL, J. SEGURA, N.M. TEMME, Algorithm 819: AIZ, BIZ: Two Fortran 77 routines for the computation of complex Airy functions, ACM Trans. Math. Soft. 28, 325-336.

W.G.M. GROENEVELT, (2002) Zeros of Sobolev Orthogonal Polynomials of Gegenbauer Type, Journal of Approximation Theory 114, 115-140.

P.H. VAN DER KAMP, (2002) On Proving Integrability, Inverse Problems, 18, 405-414.

P.H. VAN DER KAMP, (2002) The use of $p$-adic numbers in calculating symmetries of evolution equations, Symmetry in nonlinear mathematical physics, Part 1, 2 (Kyiv, 2001), Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsonal. Akad. Nauk Ukraïni nst. Mat., Kiev, 151-155.

P.H. VAN DER KAMP, J.A. SANDERS, (2002) Almost Integrable Evolution Equations, Selecta Math. (N.S.), 8, 4, 705-719.

P.H. VAN DER KAMP, J.A. SANDERS, J. TOP, (2002) Integrable Systems and Number Theory, Differential equations and the Stokes phenomenon, Workshop in Groningen, The Netherlands 28 - 30 May 2001, Ed. B.L.J. Braaksma, G.K. Immink, M. van der Put and J. Top, World Scientific, 171-201.

E. KOELINK, (2002) Lie theory and special functions, in Recent advances in Lie theory, Vigo 2000, Heldermann, Lemgo, Res. Exp. Math. 25, 289-303.

E. KOELINK, W.G.M. GROENEVELT, (2002) Meixner functions and polynomials related to Lie algebra representations, J. Phys. A: Math. Gen. 35, 65-85.

E. KOELINK, H. ROSENGREN, (2002) Transmutation kernels for the little $q$-Jacobi function transform, Rocky Mountain J. Math. 32, 703-738.

J. KOREVAAR, (2002) A century of complex Tauberian theory, Bull. Amer. Math. Soc. 39, 475-531.

O. LEMMERS, J. WIEGERINCK, (2002) Solving the Gleason problem on linearly convex domains, Mathematische Zeitschrift 240, 823-834.

J.L. LÓPEZ, N.M. TEMME, (2002) Two-point Taylor expansions of analytic functions, Stud. Appl. Math. 109, 297-311.

G. MARÍ BEFFA, J.A. SANDERS, J.P. WANG, (2002) Integrable systems in three-dimensional Riemannian geometry, J. Nonlinear Sci., 12, 2, 143-167.

A.V. MIKHAILOV, V.S. NOVIKOV, (2002) Perturbative symmetry approach, J. Phys. A, 35, 22, 4775-4790.

Q.D. NGUYEN, P. DE PAEPE, (2002) Function algebras on disks, Complex Var. Theory Appl. 47, 447-451.

P.J. OLVER, J.A. SANDERS, J.P. WANG, (2002) Ghost symmetries, Recent advances in integrable systems (Kowloon, 2000), J. Nonlinear Math. Phys., 9, suppl. 1, 164-172.

M. R¨OSLER, M. DE JEU, (2002) Asymptotic analysis for the Dunkl kernel, Journal of Approximation Theory 119, 110-126.

J.A. SANDERS, J.P. WANG, (2002) On a family of operators and their Lie algebras, J. Lie Theory, 12, 2, 503-514.

A. SERGYEYEV, J.A. SANDERS, (2002) The complete set of generalized symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation, Symmetry in nonlinear mathematical physics, Part 1, 2 (Kyiv, 2001), Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsonal. Akad. Nauk Ukraïni nst. Mat., Kiev, 209-214.

J.V. STOKMAN, (2002) An expansion formula for the Askey-Wilson function, J. Approx. Theory 114, 308-342.

R. VIDUNAS, N.M. TEMME, (2002) Symbolic evaluation of coefficients in Airy-type asymptotic expansions, J. Math. Anal. Appl. 269, 317-331.

J.P. WANG, (2002) A list of $1+1$ dimensional integrable equations and their properties, Journal of Nonlinear Mathematical Physics, 9, Supplement 1, 213-233.

Ph.D. Theses

P.R. BENEKER, (2002) Strongly exposed points in unit balls of Banach spaces of holomorphic functions, University of Amsterdam.

F.A.M.O. LEMMERS, (2002) On the Gleason problem, University of Amsterdam.

Reports and pre-prints

P. BENEKER, J. WIEGERINCK, (2002) Strongly exposed points in the ball of the Bergman space, Math.ArXiv math.CV/0208234.

A. EDIGARIAN, J. WIEGERINCK, (2002) Graphs that are not complete pluripolar, Math.ArXiv math.CV/0203064.

A. EDIGARIAN, J. WIEGERINCK, (2002) The pluripolar hull of the graph of a holomorphic function with polar singularities, Math.ArXiv math.CV/0208016.

A.F.M. TER ELST, (2002) Derivatives of kernels associated to complex sub-elliptic operators, report MRR02-010, The Australian National University, to appear in: Bull. Austr. Math. Soc. 67 (2003), 393-406.

A.F.M. TER ELST, D.W. ROBINSON, (2002) Gaussian bounds for complex sub-elliptic operators on Lie groups of polynomial growth, report MRR02-007, The Australian National University, to appear in: Bull. Austr. Math. Soc. 67 (2003), 210-218.

A. GIL, J. SEGURA, N.M. TEMME, (2002) On the zeros of the Scorer functions, report MAS-R0225, CWI, Amsterdam.

V. GINZBURG, N. GUAY, E. OPDAM, R. ROUQUIER, (2002) On the category O for rational Cherednik algebras, report 02-34 UvA, to appear in Inventiones Mathematica.

A.N.W. HONE, J.P. WANG, (2002) Prolongation algebras and Hamiltonian operators for peakon equations, report University of Kent at Canterbury.

P.H. VAN DER KAMP, (2002) Classification of $\cal B$-equations, report WS- 566 Vrije Universiteit Amsterdam.WS-566, 2002.

T.H. KOORNWINDER, N. TOUHAMI, (2002) Fusion and exchange matrices for quantized sl(2) and associated q-special functions, arXiv:math.QA/0207159.

N.P. LANDSMAN, (2002) Quantization and the tangent groupoid, arXiv:math-ph/0208004.

N.P. LANDSMAN, (2002) Deformation quantization and the Baum-Connes conjecture, arXiv:math-ph/0210015.

V.F. MOLCHANOV, G. VAN DIJK, (2002) H-INVARIANTS FOR THE UNIVERSAL COVERING GROUP OF SL(2,R), Report MI 2002-06

P. MOREE, (2002) On some claims in Ramanujan's `unpublished' manuscript on the partition and tau functions, report 02-01 Universiteit van Amsterdam, to appear in The Ramanujan Journal.

(2002) P. MOREE, On the distribution of the order and index of $g({\rm mod~}p)$ over residue classes, report 02-29 Universiteit van Amsterdam.

(2002) P. MOREE, On the average number of elements in a finite field with order or index in a prescribed residue class, report 02-36 Universiteit van Amsterdam.

M. MUGER, (2002) On the Structure of Modular Categories, arXiv:math.CT/0201017.

P. MOREE, H.J.J. TE RIELE, (2002) The hexagonal versus the square lattice, report 02-09 Universiteit van Amsterdam, to appear in Mathematics of Computation.

M. MUGER, (2002) Galois extensions of braided tensor categories and braided crossed G-categories, arXiv:math.CT/0209093.

M. MUGER, J. E. ROBERTS, L. TUSET, (2002) Representations of algebraic quantum groups and reconstruction theorems for tensor categories, arXiv:math.QA/0203206.

E.M. OPDAM, (2002) On the spectral decomposition of affine Hecke algebras, report 02-30 Universiteit van Amsterdam.

J.A. SANDERS, (2002) Normal form theory and spectral sequences, report WS- 564 Vrije Universiteit Amsterdam. To appear in: Journal of Differential Equations.

J.V. STOKMAN, (2002) The quantum orbit method for generalized flag manifolds, math.QA/0206245, 11 pages.

N.M. TEMME, (2002) Large parameter cases of the Gauss hypergeometric function, report MAS-R0209, CWI, Amsterdam.

R. VIDUNAS, N.M. TEMME, (2002) Parabolic cylinder functions: examples of error bounds for asymptotic expansions, report MAS-R0222, CWI, Amsterdam.

H. ZHANG, (2002) The inverse of a real generalized Cartan matrix, arXiv:math.RT/0212207.

Other publications

G. VAN DIJK, L.A. PELETIER, (2002) Thomas Joannes Stieltjes Jr, Universiteit Leiden, Mathematisch Instituut (new edition).

T.H. KOORNWINDER (ED.), (2002) Special theme: erciMathematics, ERCIM News No. 50.

N.P. LANDSMAN, (2002) Wiskunde aan de grenzen van de natuurkunde (oratie), Nieuw Archief voor Wiskunde 5/3(1) 24-32.

P. MOREE, (2002) Lang Amerikaans? Nieuw Arch. Wisk. (5) 3, 231-232.

J. WIEGERINCK, (2002) Current, Lemma in: Encyclopaedia of Math. Supp III, 114-115

J. WIEGERINCK, (2002) Pluripotential theory, Lemma in: Encyclopaedia of Math. Supp III, 301-304

J. WIEGERINCK, (2002) Polynomial convexity, Lemma in: Encyclopaedia of Math. Supp III, 304-307