7th Annual Workshop 

on

Applications and Generalizations of Complex Analysis


Aveiro, June 4-5, 2004

Welcome Message Lectures & talks Program General Informations

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WELCOME MESSAGE

 

Dear Colleagues, 

It is with great pleasure that we welcome you in the 7th Workshop on "Applications and Generalizations of Complex Analysis", hosted by the University of Aveiro on June 4-5, 2004. This metting will be the seventh in a series of such workshops which was been helded in cooperation by the Universities of Aveiro and Coimbra since 1997.

As we achieve the 10th European Intensive Course on Complex Analysis and its Generalizations this year's Workshop will have a two goal propose: first, we will honour the coordinators of the Erasmus Galois Network that sponsored the series of Intensive Courses, by means of five plenary lectures given by Professors which distinguished themselves for theirs contributions in the Intensive Courses; second, we celebrate the long lasting co-operation between the involved Universities, Students and Lecturers from almost a dozen European countries participated in the past and which we hope will also continue in the future in a great variety of fields of mathematics.

The general theme concerns the various aspects of interaction between Complex, Quaternionic and Clifford Analysis, involving topics as Algebra, Geometry, Numerical Analysis, Differential Equations and Approximation Theory.



 

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LECTURES & TALKS

 

We are pleased to confirm the following plenary lectures and talks:

Plenary Lectures (about 50 minutes):

Name:

Affiliation:

Tentative title:
Delanghe, Richard  Ghent University, Belgium On two basic properties in complex and Clifford analysis
Dineen, Sean University College Dublin, Ireland The Holomorphic Functional Calculus in Infinite Dimensions
Graaf, Jan de University of Eindhoven, Netherlands Wavelet Transforms as Frame Transforms
Jank, Gerhard RWTH Aachen, Germany Non-Cooperative Dynamic Games
Marcellán, Francisco University Carlos III, Spain

Orthogonal Polynomials on the unit circle: A scalar boundary value problem approach with some applications

 

Talks (about 25 minutes):

Name:

Affiliation:

Tentative title:
Assche, Walter Van

Katholieke Universiteit Leuven, Belgium

Some applications of multiple orthogonal polynomials

Bernardes, Gil 

Universidade de Coimbra, Portugal

Monogenic Polynomials of Higher Spin

Bernstein, Swanhild 

Bauhaus-University Weimar, Germany

BMO and harmonic and hyperharmonic functions in the unit ball

Eelbode, David  Ghent University, Belgium The Photogenic Cauchy Transform
Eriksson, Sirkka-Liisa University of Joensuu, Finland Cauchy type theorems for hypermonogenic functions
Falcão, Irene Universidade do Minho, Portugal Numerical Experiments with Bergman Kernel Functions
Ferreira, Milton dos Santos Universidade de Aveiro, Portugal Wavelets over the unit ball
Martinez, Andrei Universidad de Almería, Spain Orthogonal polynomials on the unit circle: a matrix
Riemann-Hilbert approach with some applications
Oliveira, Filipe Universidade do Minho, Portugal Analytic Hardy Spaces and Solutions to Nonlinear Evolution Equations of Schrodinger type
Pena-Pena, Dixan  University of Ghent, Belgium Special Power Series Expansions for Monogenic Functions
Perotti, Alessandro University of Trento, Italy

Quaternionic regular functions and the   -Neumann problem in C2

Sabadini, Irene Politecnico di Milano, Italy On some complexes in Clifford algebras
Schepper, Hennie De  Ghent University, Belgium Distributions  in Clifford Analysis
Schepper, Nele De Ghent University, Belgium Clifford algebra-valued orthogonal polynomials
Sommen, Frank  Ghent University, Belgium Clifford analysis in the Hermitian setting
Venkova, Milena University College Dublin, Ireland Extending Bounded Type Holomorphic Functions

 

 

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PROGRAMa

Friday, June 4
09:30     Opening Session
09:45-10:40 R. Delanghe, Ghent On two basic properties in complex and Clifford analysis 
10:45-11:40 G. Jank, Aachen Non-Cooperative Dynamic Games
Coffee Break
12:00-12:25 H. De Schepper, Ghent Distributions in Clifford Analysis
12:30-12:55  F. Sommen, Ghent Clifford analysis in the Hermitian setting
Lunch
14:30-14:55    I. Sabadini, Milano On some complexes in Clifford algebras
15:00-15:25   A. Perotti, Trento Quaternionic regular functions and the   -Neumann problem in C2
15:30-15:55     S-L. Eriksson, Joensuu Cauchy type theorems for hyper-monogenic functions
16:00-16:25   D. Eelbode, Ghent The Photogenic Cauchy Transform
Coffee Break
17:00-17:25   G. Bernardes, Coimbra   Monogenic Polynomials of Higher Spin 
17:30-17:55      D. Pena-Pena, Ghent Special Power Series Expansions for Monogenic Functions
18:00-18:25  W. Van Assche, Leuven  Some applications of multiple orthogonal polynomials
Dinner

Saturday, June 5
09:30-10:25  J. De Graaf, Eindhoven Wavelet Transforms as Frame Transforms
10:30-11:25   S. Dineen, Dublin  The Holomorphic Functional Calculus in Infinite Dimensions
Coffee Break
11:50-12:15   M. Venkova, Dublin  Extending Bounded Type Holomorphic Functions
12:20-12:45   F. Oliveira, Braga  Analytic Hardy Spaces and Solutions to Nonlinear Evolution Equations of Schrodinger type
Lunch
14:30-14:55    S. Bernstein, Weimar BMO and harmonic and hyperharmonic functions in the unit ball
15:00-15:25   M. Ferreira, Aveiro Wavelets over the Unit Ball
15:30-15:55     N. De Schepper, Ghent  Clifford algebra-valued orthogonal polynomials
16:00-16:25   I. Falcão, Braga  Numerical Experiments with Bergman Kernel Functions
Coffee Break
17:00-17:25   A. Martinez, Almería  Orthogonal polynomials on the unit circle: a matrix
Riemann-Hilbert approach with some applications
17:30-18:25      F. Marcellán, Madrid  Orthogonal Polynomials on the unit circle: A scalar boundary value problem approach with some applications
18:30  Closing Session

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GENERAL INFORMATIONS

 

The Portuguese climate can be described as maritime temperature. It is cool and often rainy in the north, warmer and drier in the south. In Aveiro, average temperatures range between 8 and 14 degrees centigrade in January, while August temperatures vary between 17 and 30 degrees centigrade. The periods of highest rainfall are generally in March and April.

 Aveiro enjoys the luxury of a cool sea breeze, even at the hottest times of the year. The actual weather report can be seen at Weather forecast .

 

How to arrive to...
Connections between Oporto's Airport and Train Station S. Bento (Oporto)
Connections between Lisbon's Airport and Train Station Oriente (Lisbon)
Train timetable (Oporto-> Aveiro)
Train timetable (Aveiro -> Oporto)
Maps
Portugal_small
Map of Aveiro
University of Aveiro's Campus
Map of Oporto
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Technical support

 

The workshop will take place in the Conference Room Sousa Pinto.

This room is equipped with a black board, 1 transparency projector and 1 beamer. 

 

For adiccional informations, please contact pceres@mat.ua.pt



Looking forward to meet you at the workshop. 

The Organizers: 

Helmuth R. Malonek                   
Paula Cerejeiras                         
J. Carvalho e Silva
Amilcar Branquinho

Departamento de Matemática 
Universidade de Aveiro 
P-3810-193 Aveiro 
Portugal 
Departamento de Matemática 
Universidade de Coimbra
P-3001-454 Coimbra
Portugal
fax: +351-234382014  fax: +351-239832568
e-mails: e-mails:
hrmalon@mat.ua.pt 
pceres@mat.ua.pt 
jaimecs@mat.uc.pt
ajplb@mat.uc.pt


With the support of UI&D "Matemática e Aplicações" of University of Aveiro and CMUC of University of Coimbra.