# Analysis Seminars

### Analysis Seminars for this Semester

**Tuesday 7th February, 2017 **
(place: UCD
Ag 1.01 )
4.15pm

*Speaker:* N. Dobbs

*Title:* Diabolical Entropy

**Tuesday 14th February, 2017 **
(place: UCD
Ag 1.01 )
4.00pm

*Speaker:* R. Timoney

*Title:* The universal TRO of a Hilbert space

**Abstract**
A report on recent work in progress with L. Bunce to elucidate the
structure of the universal TRO $T$ for a Hilbertian JC*-triple $E$
(of infinite dimension). Ideals and factor representations of $T$
can be connected to those of the right C*-algebra $A$ of $T$. We
show that $A$ is antiliminal, prime and has injective factor
representations of types I, II and III when $E$ is separable.
Similar results hold for $T$.

**Tuesday 21st February **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* M. Golitsyna

*Title:* Universal Laurent expansions of harmonic functions

**Tuesday 21st February **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* H. Render

*Title:* Products of Bessel functions (II)

**Tuesday 15th November, 2016 **
(place: UCD
Ag 1.01 )
4.00pm

*Speaker:* A. Korepanov (Warwick)

*Title:* Strong approximation of deterministic dynamical systems by Brownian motion

**Tuesday 28th March **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* M. Ghergu

*Title:* Some methods in the study of semilinear elliptic problem

**Tuesday 28th March **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* G. Singh

*Title:* On a class of mixed Choquard-Schr\"odinger Poisson systems

**Tuesday 4th April **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* S. Gardiner

*Title:* Analytic content and the isoperimetric inequality

**Tuesday 4th April **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* A. McCluskey (NUIG)

*Title:* A framework for the notion of betweenness

**Tuesday 18th April **
(place: UCD
Ag. 1.01 )
3:00pm

*Speaker:* J. Buckley (IMS Madrid; KCL)

*Title:* On the number of nodal domains of toral eigenfunctions

**Tuesday 18th April **
(place: UCD
Ag. 1.01 )
4:15pm

*Speaker:* A. T\"ornquist (Copenhagen)

*Title:* Fraisse theory: The Poulsen simplex and other
examples

**Tuesday 25th April, 2017 **
(place: UCD
Ag 1.01 )
4.15pm

*Speaker:* M. Golitsyna

*Title:* Sequences of real-rooted polynomials that converge in three points
and the Laguerre-Polya class

**Tuesday 2nd May, 2017 **
(place: UCD
Ag 1.01 )
4.15pm

*Speaker:* R. Smith

*Title:* Approximation of norms in preduals of Lorentz spaces

**Tuesday 9th May, 2017 **
(place: UCD
Ag 1.01 )
4.15pm

*Speaker:* C. Gilmore

*Title:* Growth rates of frequently hypercyclic harmonic functions

**Abstract**
The notion of frequent hypercyclicity stems from ergodic theory and has
been an active area of research since it was introduced by Bayart and
Grivaux (2004).
Many natural continuous linear operators are frequently hypercyclic, for
instance the differentiation operator on the space of entire functions.
We will begin by recalling some basic examples and the pertinent notions
of frequent hypercyclicity. We then consider the
partial differentiation operator acting on the space of harmonic functions
on $R^n$. Our primary goal is to identify
sharp growth rates, in terms of the $L^2$-norm, of harmonic functions that
are frequently hypercyclic vectors for the basic partial differentiation
operator. This answers a question posed by Blasco et al. (2010).
This is joint work with Eero Saksman and Hans-Olav Tylli.

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