The research of the chair of Analysis focusses on two main themes: functional analytic methods in partial differential equations and stochastic evolution equations, and spectral theory and noncommutative analysis.
Subprojects are:

• Stochastic Evolution Equations in Banach spaces
  Project leader: Jan van Neerven

  Stochastic partial differential equations with random perturbations can be studied in a functional analytic framework as stochastic evolution equations governed by a semigroup generator in an infinite-dimensionalspace. For Hilbert spaces, the theory of stochastic evolution equations has witnessed a rapid developement during the past two decades. One of its ingredients is the extension to the Hilbert space context of the classical Ito stochastic integral. In collaboration with Mark Veraar (Delft, now Karlsruhe) and L. Weis (Karlsruhe), the classical stochastic Ito integral has been extended to UMD Banach spaces. This permits a full treatment of semilinear stochastic evolution equations in the L^p scale. Current work focusses on understanding qualitative properties of solutions of stochastic evolution equations and understanding the connections between stochastic analysis on the one hand and harmonic analysis on the other. stochastic integral to stochastic integrands and on exploring connections between stochastic integration in Banach spaces and the geometry of the underlying space. This project is supported by a `VICI' grant in the `Vernieuwingsimpuls' programme of the Netherlands Organisation for Scientific Research (NWO).

• Noncommutative Analysis and Operator Theory
  Project leader: Ben de Pagter
  
  
  
  

We participate in the following projects:

• "Groot Project" Stochastic Analysis (Netherlands Organisation for Scientific Research (NWO)).
  Applicants: Ph. Clément (Technical University of Delft), F. den Hollander (Eurandom), S.M. Verduyn Lunel (University of Leiden).
  Post-doc: Dr. O. van Gaans (January 1, 2002 - January 1, 2004)

• Research Training Network Evolution Equations for Deterministic and Stochastic Systems (European Community).

Click here for the list of participating groups and for further information.

Here is an overview of the conferences and workshops that have been organised by our group recently:

• Clément Workshop
  (TUDelft, November 29 - December 1, 2004)

  
  Organizers: Erik Koelink, Jan van Neerven, Ben De Pagter, Guido Sweers

  Click here for more information.

• Annual TMR Workshop
  (TUDelft, June 1-4, 2004)

  
  Organizers: Philippe Clément, Jan van Neerven, Mark Veraar
  

  Click here for more information.

• Workshop: Special Functions, Representation Theory and Applications
  (Universiteit van Amsterdam, August 25-27, 2003)

  
  Organizers: Erik Koelink, Eric Opdam, Jasper Stokman, Nico Temme, Jan Wiegerinck
  Proceedings: a special issue of Indagationes Mathematicae will be published with papers dedicated to Tom Koornwinder.

  Click here for more information.

• The 2002 Twente Conference on Lie Groups
  (Universiteit Twente, December 16-18, 2002)

  
  Organizers: Erik van den Ban, Gerrit van Dijk, Gert Heckman, Gerard Helminck, Erik Koelink, Tom Koornwinder, Johan van de Leur, Eric Opdam, Erik Thomas

  Click here for more information.
  This conference is a yearly activity.

• Workshop: Quantum Groups and Special Functions
  (Technische Universiteit Delft, April 9, 2001)

  
  Organizer: Erik Koelink

• Workshop: Applications of Dynamical Quantum Groups and the KZ equation
  (Universiteit van Amsterdam, September 11-12, 2001)

  
  Organizers: Erik Koelink and Tom Koornwinder

• Euro Summer School in Orthogonal Polynomials and Special Functions
  (Katholieke Universiteit Leuven, Belgium, August 12-16, 2002)

  
  Organizers: Erik Koelink and Walter Van Assche
  Proceedings: to appear

  Click here for more information.

• Mini Conference: Operator-Valued Multiplier Theorems and Functional Calculi
  (TU Delft, June 28-29, 2001)

  
  Organizers: Ph. Clément, J. van Neerven

  Click here for the poster of the meeting.

• Mini-Workshop: Elliptic and Parabolic Problems of Higher Order
  (Oberwolfach, June 9-14, 2001)

  
  Organizers: F. Gazzola, H.-Ch. Grunau, G. Sweers

  Click here for more information.

• Akademie Colloquium Stochastic Analysis in Infinite Dimensions
  (Amsterdam, February 11-12, 1999)

  
  Organizers: Ph. Clément, F. den Hollander, J. van Neerven, B. de Pagter
  Proceedings: Infinite-Dimensional Stochastic Analysis (Editors: Ph. Clément, F. den Hollander, J. van Neerven, B. de Pagter), Verhandelingen Afdeling Natuurkunde, Vol. 52, Royal Dutch Academy of Sciences and Arts, 2000.

• The Delft Meeting on Functional Analysis and Nonlinear Partial Differential Equations
  (TU Delft, May 25-27, 1998)

  
  Organizers: Ph. Clément and G. Sweers.

  Follow this link for more information.

• Second International Conference on Trends in Semigroup Theory and Evolution Equations
  (TU Delft, September 25-29, 1989)

  
  Organizers: Ph. Clément, C.J. van Duijn, E. Mitidieri, B. de Pagter, C.A. Timmermans
  Scientific Committee: H. Amann, M.G. Crandall, G. Da Prato, O. Diekmann, W. von Wahl
  Proceedings: Semigroup Theory and Evolution Equations (Editors: Ph. Clément, E. Mitidieri, B. de Pagter), Lecture Notes in Pure and Applied Mathematics, Vol. 135, Marcel Dekker, Inc., 1991.