FIRST ADVANCED COURSE IN OPERATOR THEORY AND COMPLEX ANALYSIS

Seville, June 16th-19th 2004

Complex Analysis and Operator Theory are two of the most classical and beautiful branches of mathematics. In many more situations that one can expect at first glance, these two branches interact providing very important and beautiful theorems in which older results are invested of  new meanings. 

A major example of what is just said is the large study of composition operators on spaces of analytic functions that has been carried out in the last forty years. The connection with other branches of mathematics like, approximation theory, Fourier analysis and Harmonic Analysis  frequently appear.

Although classical, it is a remarkable fact that Complex Analysis and Operator Theory are providing an unending number of rich and new ideas in mathematics. One of the purposes of these advanced courses delivered by well renowned researchers which are in the mainstream is to show that these two areas are still emerging with full strength. 

The topics will vary from determining the conformal type of Riemann surfaces, to concrete classical operators acting on classical spaces of analytic functions, passing through how the behaviour of the powers of the classical shift operator determines whether every function in a given space of analytic functions on the disk has non-tangential limits almost everywhere and lattices of  jointly invariant subspaces for two Fourier translations semi-groups.  

We hope that these will be a good sample of what is still to come in the future.

Click here to see the official poster of the Course.

SPEAKERS  

- Alexandru Aleman (Lund University, Sweden)

  Analytic contractions and nontangential boundary behavior  (abstract)

- David Drasin (National Science Foundation U. S. Permanently at Purdue University, U.S.) 

  How big is a Riemann surface?  (abstract)

- Stephen Power (Lancaster University, United Kingdom) 

  Invariant subspaces of traslation semigroups  (abstract)

- Aristomenis Siskakis (Aristotle University of Thessaloniki, Greece)

  OPERATORS OF INTEGRATION ON SPACES OF ANALYTIC FUNTIONS  (abstract)  

SPONSORED BY: 

>GRUPO PROMOTOR DEL INSTITUTO MATEMÁTICO DE SEVILLA (IMUS)

>II PLAN PROPIO DE LA UNIVERSIDAD DE SEVILLA

>PROYECT TEORÍA DE OPERADORES Y ESPACIOS DE FUNCIONES ANALÍTICAS (ref. BFM2003-00034)

>GRUPO DEL PAI VARIABLE COMPLEJA Y TEORÍA DE OPERADORES (ref. FQM-260)

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