David Natroshvili
(Georgian Technical University, Tbilisi, Georgia)

" Application of pseudodifferential equations to mixed interface crack problems for composite structures "

Norbert Gorenflo
(Beuth Hochschule für Technik Berlin, Germany)

"On searching for explicit solution formulas for the diffraction by a strip and the diffraction by a circular disk "

Matthias Kunik
(Otto-von-Guericke University of Magdeburg, Germany)

"Some new considerations about the diffraction of light through an aperture in a plane screen "

Roland Duduchava
(Andrea Razmadze Mathematical Institute, Tbilisi, Georgia)

"Equivalent regularization of Maxwell's equations "

Stefan Samko
(Universidade do Algarve, Faro)

" Maximal, singular and potential operators in generalized variable exponent Morrey spaces "

Borut Zalar
(University of Maribor, Slovenia)

" Computation of norms of several operators on matrix spaces arrising from Jordan algebra "

Anatoli Merzon
(Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán, Mexico)

" On the weak solution of the Neumann problem
for the 2D Helmholtz equation in a convex cone and H ^s regularity "

Pedro A. Santos
(Instituto Superior Técnico, Universidade Técnica de Lisboa)

" Inverse-closedness problems in approximation theory "

Helena Mascarenhas
(Instituto Superior Técnico, Universidade Técnica de Lisboa)

" Finite section method for convolution type operators on Lp(R) with symbols generated by PC and SO "

Cristina Câmara
(Instituto Superior Técnico, Universidade Técnica de Lisboa)

" On some properties of the kernel and the cokernel of a Toeplitz operator "

Frank-Olme Speck
(Instituto Superior Técnico, Universidade Técnica de Lisboa)

" On some connections between pure Hankel operators, extensions of Helmholtz solutions into conical Riemann surfaces and the factorization of a special matrix "

Round table on current research and open problems

Chairman: Frank-Olme Speck

Abstract. Current development in the areas of research within the CEAF is exposed by corresponding representatives of the lines of investigation. New directions and open problems are emphasized in order to stimulate the progress, exchange of ideas and cooperation within the center. The session is open to all CEAF members and their collaborators. The order of presentations is:
1. A.F. dos Santos: Riemann-Hilbert Problems and Factorization,
2. M.A. Bastos: Operator Algebras and Index Theory,
3. F.-O. Speck: Operator Methods in Boundary-Value Problems,
4. M.C. Câmara: Toeplitz Operators and Corona Problems,
5. A.B. Lebre: Singular Integral Operators with Shifts,
6. N.N.: Further Topics (the area of Harmonic Analysis and Operator Theory will also be discussed in future sessions in May).

N. Christopher Phillips
(University of Oregon, USA)

" The structure of C*-algebras of free minimal actions of Z^d"

Cristina Diogo
(Instituto Superior de Ciências do Trabalho e da Empresa, Lisboa)

" Fredholm properties of Toeplitz operators and corona problems (I) "

Luís Castro
(Universidade de Aveiro)

" Integral equation modelling of electromagnetic scattering by waveguides "

Janko Bracic
(University of Ljubljana, Slovenia)

" On the reflexivity of the kernel of an elementary operator "

Saburou Saitoh
(Gunma University, Tokyo, Japan, and University of Aveiro, Portugal)

" Bounded linear operator equations and discretization by using the theory of reproducing kernels "

Stefan Samko
(Universidade do Algarve, Faro)

" Potential operators in generalized Hölder spaces over domains without the cancellation property "

Yemon Choi
(Université Laval, Québec, Canada)

" Group representations where all convolution operators have empty residual spectrum "

Natasha Samko
(Universidade do Algarve, Faro)

" Off-diagonal estimations of Hardy and potential operators in Morrey spaces "

Ana C. Conceição and José C. Pereira
(Universidade do Algarve, Faro)

" Explicit generalized factorization with Mathematica 6.0 "

Börje Nilsson
(Linnaeus University, Kalmar, Sweden)

" Mathematical modelling of acoustic waves interacting with unstable flows in waveguides "

Yuri I. Karlovich
(Universidad Autónoma del Estado de Morelos, Cuernavaca, México)

" On the Fredholm study of singular integral operators with shifts "

Ilya Spitkovsky
(College of William and Mary, Williamsburg, Virginia, USA)

" On some new results in the numerical range theory "

Luís Pessoa
(Instituto Superior Técnico, UT Lisboa)

" Poly-Bergman spaces on domains Möbius-equivalent to a disk "