It is well known the increasing attention paid in the last years to
the theory of Orthogonal Polynomials. In particular since their applications
in a lot of different areas like numerical integration, spectral methods,
interpolation, approximation theory, etc. Also in combinatorics, mathematical
physics, quantum physics, etc. For this reason the *Universidad Carlos
III de Madrid* organizes every two years an international workshop devoted
to this topic. The first edition in 1992 was dedicated to Sobolev orthogonal
polynomials, in 1994 to polynomials orthogonal in the unit circle, the
IWOP'96
,
held in 1996, to the applications of orthogonal polynomials in mathematical
physics and the last one
IWOP'98 was devoted to the *numerical applications
and symbolic algorithms*.

The main **aim** of the 2002's edition of the Workshop is that a
reduced number of invited mathematicians discuss and review recent progress
of the Theory of **Orthogonal Polynomials** and **Approximation Theory**.
The Workshop will take place in the main building of the Escuela Politécnica
Superior of the Universidad Carlos III de Madrid,
**Leganés** (Madrid), in the **Aula de Grados**
of the University. For a detailed map visit the
WWW (building 5).

The IWOP02 is sponsored by Ayuntamiento de Leganés , Universidad Carlos III de Madrid and Real Sociedad Matemática Española (RSME).

The topics to be consider will be:

- Approximation Theory
- Quadrature formulas
- Orthogonal Polynomials
- Asymptotics

**How to get Escuela Politécnica Superior**

The best way to get the Escuela Politécnica Superior is by using
the trains *Cercanias*which
can be reach from Atocha Railway Station
*Cercanias* Line C5 (direction
Fuenlabrada) and leave the train in the Station *Leganés* (not
in Zarzaquemada!) which is at 5 min. waking from the University. Please
see a scheme of getting to the University
Campus , or if you prefer, see a more detailed map

- J. S. Geronimo (Georgia Institute of Technology, USA),
*A two variable extension of the Riesz-Féjer Lemma* - P. Gonzalez Vera (University of La Laguna, Spain),
*Orthogonal rational functions on the real half-line with applications to Padé approximation and quadratures* - A. B. J. Kuijlaars (Katholieke University Leuven, Belgium),
*Riemann-Hilbert analysis of orthogonal polynomials in [-1,1]* - J.L. López (Public University of Navarra, Spain),
*Asymptotic approximations of integrals: application to asymptotic approximations of orthogonal polynomials.* - A. Martinez-Finkelshtein (University of Almeria, Spain),
*Electrostatic models associated with the zeros of special functions* - H. Stahl (Technical University Berlin, Germany),
*and rational best approximants on the unit circle*

- R. Álvarez-Nodarse (Univ de Sevilla)
- J. Arvesú (Univ. Carlos III) (Secretary)
- F. Marcellán (Chairman) (Univ. Carlos III)

- J. S. Dehesa (Univ. de Granada),
- A. Durán (Univ. Sevilla)
- G.López Lagomasino (Univ. Carlos III),
- F. Marcellán (Univ. Carlos III)
- W. Van Assche (Katholieke Univ. Leuven)

Please fulfill the registration form and send it to Jorge Arvesú. We extend the dead line only for participants (it is not possible to submmit short communications) up to May 30, 2002.

The registration fee is 120 Euros to be paid (in cash) in the opening session (Monday June 24, at 9:00). It includes the book of abstracts, all lunches. The registration form is available also in LaTeX format and PDF format .

It is possible to use the Hotel *Tryp LEGANES*
with an University price for the IWOP02's participants,
but also the participants can contact with the
Sol Meliá Reservation Service in the phone 902 14 44 40, or
on-line in the WWW.
The rooms have remote-controlled satellite TV,
direct-dial telephone, computer connection, air-conditioning, etc.
The interested people should contact directly with the
Hotel via e-mail to D. Juan Manuel Lominchar
(Jefe de Recepción)
sol.inn.leganes@solmelia.com .
The prices are: double room: 102 Euros (51 Euros/Person) +
7% IVA, single room 78.50 Euros + 7% (25 rooms will be avaliable)
The breakfast is included. Further information about the Hotel
can be found
cliking here. Where is the Hotel?

There is also the possibility to use the Student Residence
*Fernando Abril Martorell* (UC3M, Leganes). (7 singles and
13 doubles). The prices are: 32 Euros for a single room
and 21.40 Euros/person. If you are interested on these
rooms please contact as soon as possible with Jorge Arvesu
or Francisco Marcellan before May 20.
Here there is a PDF
file with a scheme of Leganés and the situation of
the Residence and the University Carlos III.

The registration starts on Monday 24 at 8:45am and the opening sesion will be on Monday 24 at 9:15 am.

Time | Monday | Tuesday | Wednesday | Thursday | |
---|---|---|---|---|---|

9:30 | Geronimo | Geronimo | Kuijlaars | Kuijlaars | |

10:30 | Lopez | Lopez | Glez-Vera | Glez-Vera | |

11:30 | Break | Break | Break | Break | |

12:00 | Delgado | Polo | Engelhardt | Zayed | |

12:30 | McDougall | Grumbaum | Daruis | Lain | |

13:00 | Minguez | M. Finkelshtein | Cachafeiro | Stahl | |

13:30 | Castro | M. Finkelshtein | J.J. Martinez | Stahl | |

14:00 | Lunch | Official Lunch (*) | Lunch | Lunch | |

16:30 | M. Finkelshtein | VISIT | Stahl | ||

17:30 | De Carli | TO THE | Cruz-Barroso | ||

18:00 | Break | MUSEUM | Break | ||

18:50 | Driver | OF | Golinskii | ||

18:45 | Ferreira | SCIENCE | Tikhonov | ||

19:15 | Orive | Jimenez |

(*) Official Lunch in a Restaurant at Leganes.

VISIT: There will be a guided visit to the National Museum of Science and Technology on Tuesday June 25, from 17:00 to 18:30.

- J. S. Geronimo (Georgia Institute of Technology, USA),
*A two variable extension of the Riesz-Féjer Lemma* - P. Gonzalez Vera (University of La Laguna, Spain),
*Orthogonal rational functions on the real half-line with applications to Padé approximation and quadratures* - A. B. J. Kuijlaars (Katholieke University Leuven, Belgium),
*Riemann-Hilbert analysis of orthogonal polynomials in [-1,1]* - J.L. López (Public University of Navarra, Spain),
*Asymptotic approximations of integrals: application to asymptotic approximations of orthogonal polynomials.* - A. Martinez-Finkelshtein (University of Almeria, Spain),
*Electrostatic models associated with the zeros of special functions* - H. Stahl (Technical University Berlin, Germany),
*and rational best approximants on the unit circle*

- Cachafeiro, A., Marcellán F., Pérez Iglesias C. "Lebesgue Perturbation of a quasi-definite hermitian functional. The positive definite case".
- Castro, Mirta. "On Hankel matrices and the indeterminate case for complex Jacobi matrices".
**Cruz-Barroso**, R., González Vera P. "Laurent polynomials and quadratures on the real line and the unit circle".- Daruis, L. "Szegö quadrature and frequency analysis".
- Decarli, L. "Uniform estimates for ultraspherical polynomials".
- Delgado, M. A., Pérez T. E. "Bernstein-type operators on [0, ) and classical Laguerre polynomials".
- Driver, K. "The zeros of Gegenbauer polynomials".
- Engelhardt, B. "Polynomials and Trigonometric polynomials orthogonal on the unit circle".
**Ferreira, C.**and Jose L. López "Asymptotic Expansions of the Appell Function F1".- Golinskii, Leonid. "Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle".
- Grunbaum, Alberto. "Matrix valued spherical functions".
- Jiménez Pozo, M. "On generalized Lipschitz spaces of periodic integrable functions".
- Laín Fernández, N. "Localized Polynomial Bases on the Sphere".
- Martinez González, P., Martínez Finkelshtein
A.,
**Orive R.**"Asymptotics of polynomial solutions of a class of generalized Lamé differential equations". - Martínez, José Javier. "An elementary symbolic approach to the computation of Gauss-Kronrod quadrature formulae"
- McDougall, J. M. "Polynomials and Extremal problems in Function spaces".
- Minguez, J. "Asymptotics for extremal polynomials with varying measures".
- Polo B. "Eigenvalues of Toeplitz matrix by blocks"
- Tikhonov, S. "Fourier coefficients of functions from Nikolskii-Besov space"
- Zayed, A. "Construction of orthonormal wavelet basis using Kampe-De Feriet functions"

- Araaya, T. "The Meixner-Pollaczek polynomials revisited".
- Branquinho, Amilcar "A characterization of co-recursive classical orthogonal polynomials"
- Bueno, M.I. "Symmetrization and Sobolev Inner Products"
- Cantero M. J., Moral L., Velázquez L. "An approach to Classical Matrix Orthogonal Polynomials".
- Costas, Roberto "Factorization of hypergeometric difference equation on non-uniform lattices"
- Damas, Antonio "On uniqueness in best phi-approximation by generalized n-convex functions"
- Fidalgo, U. "Rational AT-systems"
- Foupouagnigni, M., Koepf W., Ronveaux A. "Results on the Perturbated semi-classical orthogonal polynomials".
- Garrido, A. "An electrostatic interpretation of the zeros of Freud-type orthogonal polynomials".
- Mainar, Esmeralda, Ferreiras C. and J.L. Lopez "Asymptotic approximations between orthogonal polynomials in the Askey Tableau"
- Mendes, Ana Isabel "Difference-differential equations and semiclassical orthogonal polynomials"
- Medem, Juan Carlos "q-classical polynomials with q<0"
- Sánchez Ruiz, Jorge. "Information Entropies of Gegenbauer Polynomials with integers parameters and Gaussian cuadrature"
- Sastre, Maria Asuncion "Moments of infinite convolutions of Bernoulli distributions"
- Suarez, Carmen. "On the orthogonality of the derivative of the reciprocal sequence."
- Tomeo, Venancio "Three cases of normality of the Hessenberg's matrix related with atomic complex distributions"

To get more information please contact with:

J. Arvesú (jarvesu@math.uc3m.es), R. Álvarez-Nodarse (ran@us.es) and F. Marcellán (pacomarc@ing.uc3m.es)

Maintained by Renato Álvarez-Nodarse: E-Mail: ran@us.es