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Programme
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
Finbarr Holland
(UCC)
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).
Susan Mac
Donald
Some Recent Mathematical History Concerning the Paradigm Shift from Euclid
Sandra Pott
(U. Glasgow)
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.
Martin
Mathieu (QU Belfast)
Banach algebras have edges: How Algebra can help out Analysis
Organizers
Stephen Buckley
Pat McCarthy
John Murray
Please direct all queries to
admin@maths.nuim.ie, and put "David and Richard" in the subject line.
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