Advanced Course on

Krein-de Branges Spaces of Entire Functions and Old and New Spectral Problems

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List of participants with lodging arranged through the organisation

Schedule
Dates:	May 2 to 6, 2011
Place:	Centre de Recerca Matemàtica (CRM), Bellaterra, Barcelona, Spain	How to reach the CRM

Goals

The advanced course is focused on Hilbert spaces of entire functions, more concretely on Krein-deBranges spaces. The main goal of the course will be to understand the structure of these spaces and their relationship with other areas. They were introduced by deBranges in the 60's in his quest to study the invariant subspaces problem and the Bieberbach conjecture. He produced a theory that included both the orthogonal polynomials and the Paley-Wiener spaces. This has been a natural context to study many problems in Analysis and Physics. Lately, they have gained new life and are a key tool in the study of problems of approximation (by meromorphic functions with given poles), problems of interpolation and sampling in the Paley-Wiener space, operator theory (for instance in the study of the injectivity of Toeplitz operators), and in applied problems as in the Sturm-Liouville problem and in the theory of random matrices. Nevertheless all this new activity, the literature is mostly in article form, except two books by deBranges and Sarason that cover the more classical material, so this course has an aim to consolidate the existing knowledge and present it in an accessible way to a wide public that we expect may consist mainly on young researchers.

Scientific Committee

Hakan Hedenmalm, The Royal Institute of Technology in Stockholm

Nikolai Makarov, CALTECH

Joaquim Ortega-Cerdà, Universitat de Barcelona

Mikhail Sodin, Tel Aviv University

Lecturers

Nikolai Makarov, Caltech University

Alexei Poltoratski, Texas A&M University

Mikhail Sodin, Tel Aviv University

Registration

Registration fee: 300€

Registration includes: attendance to the lectures, documentation package, copy of the course notes, social dinner, cultural activity, and coffee breaks

Available Grants

Young researchers may apply for a grant and take advantage of a reduced registration fee and a lodging grant.
Awards are determined based on academic criteria and/or country of residence (giving special attention to advanced researchers from less favoured countries).
There are two grants available:

• Full Grant: access to reduced registration + lodging (during the days of the activity in a shared apartment)
• Registration Grant: access to reduced registration

Reduced registration fee for either type of grant holders: 90€

You will be informed as soon as possible whether support is available.

Deadline for grant applications:

April 20, 2011

• Registration and application for financial support

Accommodation

Participants awarded with accommodation grants will have their lodging arranged through the organisation. The remaining participants are encouraged to book their lodging as soon as possible.

• Information on accommodation options for participants

For further information, please contact the CRM Administration.