10:15 Opening Address by Professor John Hughes, President, NUI Maynooth
10:30-11:20 Dr Susan Mac Donald
11:20-11:50 Tea/Coffee Break
11:50-12:40 Professor Anthony O'Farrell
12:40-14:00 Lunch Break
14:00-14:50 Professor Finbarr Holland
15:00-15:50 Dr Sandra Pott
15:50-16:20 Tea/Coffee Break
16:20-17:10 Dr Martin Mathieu
All talks will be in MS2, top floor of Logic House.
Speakers and titles
Boole’s Integral Formula, the Hilbert Transform and Harmonic Measure
Building on an idea of George Boole, which dates from 1847, my talk will center around a certain class of rational functions $\psi$, having only real zeros and poles, that generate composition operators of the form $f\to f\circ \psi$ on any space of integrable functions on the real line, which are closed under multiplication and commute with the Hilbert transform.
Anthony O'Farrell (NUI Maynooth)
With a little Help from my Friends
The talk will survey joint work with David Walsh on integral kernels and holomorphic approximation, and with Richard Watson on extending smooth functions, and approximating smooth functions. All this work fits within the general framework of function algebras (semisimple commutative topological algebras).
Some Recent Mathematical History Concerning the Paradigm Shift from Euclid
Classes of test functions for Hankel operators
We consider classes of test functions suitable to determine boundedness, compactness and Schatten-von Neumann class membership of Hankel operators, and give some applications in the theory of linear systems. This is motivated by results of Bonsall, Holland, and Walsh.
Mathieu (QU Belfast)
Banach algebras have edges: How Algebra can help out Analysis
Please direct all queries to firstname.lastname@example.org, and put "David and Richard" in the subject line.