9th
European Intensive Course on Complex Analysis
“Complex Analysis and its Generalizations (with applications to partial differential equations)” 
Departamento de Matemática,
Universidade de Coimbra, Portugal

This intensive course will have a total of 40 hours of lectures and is at postgraduate level. Lecturers will have time available to discuss with the students. Successfully participating students will get a certificate. This course is organized by the Universities of Coimbra and Aveiro with the same goals as the ones organized under the programme Socrates, and is open to all young mathematicians interested in Complex Analysis and its applications.
There will be an Workshop on "Applications and Generalizations of Complex Analysis" on the 15th of March.
10 March 
11 March 
12 March 
13 March 
14 March 

Opening session 
9h30m10h 
* 
* 
* 
* 
10h12h30m 
10h12h30m 
10h12h30m 
10h12h30m 

14h30m17h 
14h30m17h 

14h30m17h 
14h30m17h 
17 March 
18 March 
19 March 
20 March 
21 March 

10h12h30m 
10h12h30m 
10h12h30m 
14h30m17h 

14h30m17h 
14h30m17h 

14h30m17h 
10h12h30m 
HERMITEPADÉ APPROXIMATION AND MULTIPLE ORTHOGONAL POLYNOMIALS
 Walter Van Assche (Katholieke Universiteit Leuven, Belgium)
Contents: HermitePadé approximation is simultaneous rational approximation of a vector (f1, … ,fr) of r functions with interpolation conditions at a given point in the complex plane. In this course the following aspects will be covered:
ELEMENTS OF QUATERNIONIC ANALYSIS AND
RADON TRANSFORM
 Jarolim Bures and Vladimir Soucek (Charles University, Czech Republic)
Abstract: The presented series of lectures offers a description of basic facts of quaternionic analysis. We shall describe properties of solutions of the Fueter equation and its third power. The second topic of the series will be the Radon transform, its inversion and its applications for study of quaternionic functions in quaternionic analysis.
Refernces:
FUNCTION SPACES IN CLIFFORD ANALYSIS
 Uwe Käehler (Universidade de Aveiro, Portugal)
Contents:
Prerequisits (not necessary, but recommendable):
Refernces:
 Fernando Chamizo (Universidad Autonoma de Madrid, Spain)
Abstract: This course aims to give a proof of the Prime Number Theorem with error term emphasizing the use of Complex Analysis. We shall also discuss some other results and problems in Number Theory related to Complex Analytic thechniques. In particular the original formulation to the so called "circle method"due to Hardy and Littlewood.
Probably lectures notes will be available to the participants at the beginning of the course.
References:
This intensive course follows the seven held in Coimbra and Aveiro from 1995 to 2002 and there are plans for intensive courses in the following years. The lecture notes of some of the courses have been published in Coimbra and others are in print.
Helmuth Malonek (Departamento de Matemática da Universidade de Aveiro)
J. Carvalho e Silva (Departamento de Matemática Universidade de Coimbra)
Amilcar Branquinho (Departamento de Matemática Universidade de Coimbra)
Living expenses can be partially covered for some students if they do not have support from their own institution and if there is enough money available.
With support from CMUC (Centro de Matemática da Universidade de Coimbra), UI&D "Matemática e Aplicações" da Universidade de Aveiro, and the Socrates programme 
