
July 2529,2011
Conference on Blaschke Products and their Applications
Hosted by the Fields Institute, held at the University of
Toronto
Bahen Building(BA1200)map
Organizers: Javad
Mashreghi (Laval, Canada),
Emmanuel Fricain (Lyon I, France

OVERVIEW
Infinite Blaschke products were introduced by Blaschke in 1915.
However, finite Blaschke products, as a subclass of rational functions,
has existed long before without being specifically addressed as
finite Blaschke products. In 1929, R. Nevanlinna introduced the
class of bounded analytic functions with almost everywhere unimodular
boundary values. Then the term inner function was coined much later
by A. Beurling in his seminal study of the invariant subspaces of
the shift operator.
The first extensive study of the properties of inner functions
was made by Frostman, Seidel and F. Riesz. The Riesz technique in
extracting the zeros of a function in a Hardy space is considered
as the first step of the full canonical factorization of such elements.
The disposition of zeros of an inner function is intimately connected
with the existence of radial limits of the inner function and its
derivatives.
For almost a century Blaschke products have been studied and exploited
by mathematicians. Their boundary behaviour, the asymptotic growth
of various integral means of Blaschke products and their derivatives,
their applications in several branches of mathematics in particular
as solutions to extremal problems, their membership in different
function spaces and their dynamics are examples from a long list
of active research domains in which they show their face.
In this conference, prominent mathematicians from around the world
will gather to talk about these beautiful creatures and their application
in other domains.
Monday, July
25 (Bahen Centre Room 1200) map
Chair: William Ross (AM), Artur Nicolau (PM) 
8:008:20 
Onsite Registration & Morning
Coffee 
8:208:30 
Welcome & Introduction 
8:309:30 
Pamela Gorkin (Bucknell University)
To get (or not to get) uniform approximation by interpolating
Blaschke products 
9:3010:30 
Laurent Baratchart (INRIA)
Rational approximation and Morse theory 
10:3010:50 
Coffee Break 
10:5011:50 
Joseph Cima (University of North Carolina)
A survey of recent results on TTO's 
11:5014:00 
Lunch Break 
14:0015:00 
Ulrich Daepp (Bucknell University)
Geometric Properties of Finite Blaschke Products 
15:0016:00 
Eugene Shargorodsky (King's College)
Applications of Blaschke products to the spectral theory
of Toeplitz operators 
16:0016:20 
Coffee Break 
16:2017:20 
Line Baribeau (Laval University)
Hyperbolic divided differences 
17:2018:20 
Reception (Fields Institute
Atrium, 222 College St.) Cash Bar 
Tuesday,
July 26 (Bahen Centre Room 1200)
map
Chair: Laurent Baratchart (AM), Eugene Shargorodsky (PM) 
8:008:30 
Morning Coffee 
8:309:30 
William Ross (University of Richmond)
Boundary values of functions in the range of a truncated
Toeplitz operator 
9:3010:30 
Jie Xiao (Memorial University of Newfoundland)
Isoperimetry for Green's Function and Torsional Rigidity
over Riemannian Surfaces 
10:3010:50 
Coffee Break 
10:5011:50 
Artur Nicolau (Universitat Autònoma
de Barcelona)
Paths of Inner Functions 
11:5014:00 
Lunch Break 
14:0015:00 
Daniela Kraus (University of Wuerzburg)
Critical sets of bounded analytic functions, zero sets of
Bergman spaces and nonpositive curvature 
15:0016:00 
Oliver Roth (University of Würzburg)
Properties of maximal conformal metrics and their developing
maps 
16:0016:20 
Coffee Break 
16:2017:20 
Margit Pap (University of Vienna)
Application of the Blaschke products in Harmonic Analysis

Wednesday,
July 27 (Bahen Centre Room 1200)
map
Chair: Oliver Roth (AM), Richard Fournier (PM) 
8:008:30 
Morning Coffee 
8:309:30 
Janne Heittokangas (University of Joensuu)
On BlaschkeOscillatory Differential Equations 
9:3010:30 
Richard Fournier (Université de
Montréal)
On two problems involving finite Blaschke products 
10:3010:50 
Coffee Break 
10:5011:50 
Wlodzimierz Zwonek (Jagiellonian University)
Pluripolar extension of Blaschke products 
11:5014:00 
Lunch Break 
14:0015:00 
Sergei Favorov (Kharkov Naeional University)
Blaschketype conditions for analytic functions in the unit
circle and critical points of Blaschke products 
15:0016:00 
Qazi Ibadur Rahman (Université
de Montréal)
Local behaviour of entire functions of exponential type 
16:0016:20 
Coffee Break 
16:2016:50 
Mohammed A. Qazi (Tuskegee University)
An inequality for functions belonging to the PaleyWiener
space 
16:5017:20 
Driss Drissi (Kuwait University)
Invariant subspaces for some sequences operator algebras 
17:2017:50 
Jamal Benbourenane (Abu Dhabi University)
An Application of Blaschke Products to Algebraic Differential
Equations 
Thursday,
July 28 (Bahen Centre Room 1200)
map
Chair: Ulrich Daepp (AM), Joseph Cima (PM) 
8:008:30 
Morning Coffee 
8:309:30 
Dragan Vukotic (Universidad Autónoma
de Madrid & ICMAT)
Integrability of the derivatives of Blaschke products and
applications 
9:3010:30 
Christer Glader (Åbo Akademi University)
Nonlinear RiemannHilbert Problems with Circular Target Curves

10:3010:50 
Coffee Break 
10:5011:50 
Igor Chyzhykov (Lviv National University)
Growth, zero distribution and factorization of analytic functions
of moderate growth in the unit disc 
11:5014:00 
Lunch Break 
14:0015:00 
Vasiliy Prokhorov (University of South
Alabama)
On Approximation of Analytic Functions 
15:0015:30 
Patrick TuenWai Ng (University of Hong
Kong)
ChebyshevBlaschke products 
15:3016:00 
Gunter Semmler (Fakultät für
Mathematik und Informatik)
Interpolation with Blaschke products and phase portraits 
16:0016:20 
Coffee Break 
16:2016:50 
Andre Boivin (University of Western Ontario)
A Biorthogonal Expansion in the Space L2(R+) 
16:5017:20 
Stephane Charpentier (Universite Paris
Sud)
Composition operators on HardyOrlicz and BergmanOrlicz
spaces on the ball

17:2017:50 
Helene Bommier (University of Provence)
Bergman type projections and operators on generalized Fock
spaces 
Friday, July
29 (Bahen Centre Room 1200) map
Chair: Pamela Gorkin (AM) 
8:008:30 
Morning Coffee 
8:309:30 
Timothy McNicholl (Lamar University)
Blaschke products and inner functions from the viewpoint
of the theory of computation 
9:3010:30 
Armen Edigarian (Jagiellonian University)
Blaschke products in pluripotential theory 
10:3010:50 
Coffee Break 
10:5011:50 
Oleg Ivrii (Harvard University)
On the WeilPetersson metric on the space of Blaschke products 
11:5012:00 
Closing Remarks 
Baratchart, Laurent  INRIA
Baribeau, Line  Laval University
Benbourenane, Jamal Abu Dhabi University
Chyzhykov, Igor  Lviv National University
Cima, Joseph  University of North Carolina
Daepp, Ulrich  Bucknell University
Edigarian, Armen Jagiellonian University
Fournier, Richard  Université de Montréal
Glader, Christer  Åbo Akademi University
Gorkin, Pamela  Bucknell University
Heittokangas, Janne  University of Joensuu
Kraus, Daniela  University of Wuerzburg
McNicholl, Timothy  Lamar University
Nicolau, Artur  Universitat Autònoma de Barcelona
Pap, Margit  University of Vienna
Patrick, Tuenwai Ng The University of Hong Kong
Prokhorov, Vasiliy  University of South Alabama
Rahman, Qazi Ibadur  Université de Montréal
Ross, William  University of Richmond
Roth, Oliver  University of Würzburg
Semmler, Gunter  Fakultät für Mathematik und Informatik
Shargorodsky, Eugene  King's College
Vukotic, Dragan  Universidad Autónoma de Madrid
& ICMAT
Xiao, Jie  Memorial University of Newfoundland
Zwonek, Wlodzimierz  Jagiellonian University
Confirmed Participants as of July 18,
2011
Full Name 
University Name 
Baratchart, Laurent 
INRIA Sophia Antipolis  Méditerranée 
Baribeau, Line 
Université Laval 
Benbourenane, Jamal 
Abu Dhabi University 
Boivin, André 
University of Western Ontario 
Bommier, Hélène 
Université de Provence 
Charpentier, Stéphane 
Université ParisSud 
Chyzhykov, Igor 
Lviv National University 
Cima, Joseph 
University of North Carolina 
Daepp, Ulrich 
Bucknell University 
Drissi, Driss 
Kuwait University 
Edigarian, Armen 
Jagiellonian University 
Favorov, Sergii 
Kharkov National University 
Fournier, Richard 
Université de Montréal 
Fricain, Emmanuel 
Université Claude Bernard Lyon 1 
Glader, Christer 
Åbo Akademi University 
Gorkin, Pamela 
Bucknell University 
Heittokangas, Janne 
University of Joensuu 
Ivrii, Oleg 
Harvard University 
Kraus, Daniela 
University of Wuerzburg 
Li, Daniel 
Université d'Artois 
Mashreghi, Javad 
Université Laval 
McNicholl, Timothy 
Lamar University 
Ng, Tuen Wai 
The University of Hong Kong 
Nicolau, Artur 
Universitat Autonoma de Barcelona 
Pap, Margit 
University of Pécs 
Pozzi, Elodie 
Université Lyon I 
Prokhorov, Vasiliy 
University of South Alabama 
Qazi, Mohammed 
Tuskegee University 
Rahman, Qazi Ibadur 
Université de Montréal 
Ross, William 
University of Richmond 
Roth, Oliver 
University of Würzburg 
Schippers, Eric 
University of Manitoba 
Semmler, Gunter 
Technische Universität Bergakademie Freiberg 
Shargorodsky, Eugene 
King's College London 
Vukotic, Dragan 
Universidad Autónoma de Madrid & ICMAT 
Xiao, Jie 
Memorial University of Newfoundland 
Zorboska, Nina 
University of Manitoba 
Zwonek, Wlodzimierz 
Jagiellonian University 
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