Conference Talks and Invited Lectures

Talks

Slides or notes are available as pdf files

2023

*The
pointwise behavior of Riemann's function*

*• Séminaire
d'Analyse, University of
Bordeaux, November 16, 2023*Continued fractions:
multifractal and dynamical aspects, CIRM,
Marseille, September 27, 2023

•

• Analysis Seminar, University of Reading, May 26, 2023• Analysis Seminar, University of Reading, May 26, 2023

*•*

*Functional analysis seminar, University of Lille, January 27, 2023*

*Algunos
misterios sobre los números primos
Scientific College, San José, Costa Rica, August
11, 2023
*

*Factorization theorem in
Denjoy-Carleman classes associated to
representations of (R^d,+)
*CIMPA research seminar, University of Costa
Rica, August 9, 2023

*Pointwise
behavior of fractional integrals of
modular forms via complex analysis*

Multifractal analysis and self-similarity,
CIRM, Marseille, June 29, 2023

*De**
Abstracte Priemgetalstelling. Het
Malliavin-vraagstuk*

PRIME, Ghent University, April 28, 2023

*A
generalization of the Wiener-Ikehara theorem*

Analysis seminar, Ghent University, February 21,
2023

2022

*The
pointwise behavior of Riemann's function*

* • *Time-frequency
representations for function spaces (TIFREFUS),
Novi Sad, April 11, 2022

*• Séminaire Cristolien d'Analyse Multifractal (SCAM), Paris, November 24, 2022*

*Mathematics Colloquium, University of Costa Rica, San José, December 15, 2022*

*•**Factorization theorem in
Denjoy-Carleman classes associated to
representations of (R^d,+)*

• Workshop on functional and complex analysis (WFCA22),
Valladolid, June 22, 2022

• Minisymposium Locally Convex Methods in Analysis
at the DMV
Annual Meeting 2022, Berlin, September 13,
2022

• Progress in Functional Analysis: Methods and
Applications (PFAMA),
Lecce, September 19, 2022

*• 2nd
Ghent-HFUT Analysis Workshop, Hefei,
October 21, 2022*

*Asymptotic distributions of Beurling's
generalized primes and integers
*Linnaeus University,

*Växjö, Sweden, August 24, 2022*

*On
Diamond type error terms for Beurling integers*

Logic and analysis seminar, Ghent University, March
15, 2022

2021

*The
pointwise behavior of Riemann's function*

• Ghent-HFUT
Analysis Workshop (Hefei), December 9, 2021

• Seminar Analysis Liège Trier, Liège, November 26,
2021

*The
nuclearity of Gelfand-Shilov spaces and kernel
theorems*

• 13th International ISAAC Congress (Ghent),
August 2, 2021

• 32nd Annual IWOTA
2021 (Orange), August 11, 2021

2020

*On
some classical Tauberian theorems of Hardy and
Littlewood*

Logic and analysis seminar, Ghent University,
October, 2020

*Factorization theorem in
Denjoy-Carleman classes associated to
representations of (R^d,+)*

Topics in fractional calculus and time-frequency
analysis, June 16, 2020

*Wavelets and Gelfand-Shilov
spaces*

Logic and analysis seminar, Ghent Universilty, March
11, 2020

*On the number of integers with
number of prime factors in a given residue class
*

Logic and analysis seminar, Ghent Universilty,
November 6, 2020

*Wavelets and Gelfand-Shilov
spaces*

Jornées GDR Analyse Multifractale 2019, Vielsalm,
October 2, 2019

*Asymptotic
distribution of Beurling's generalized prime
numbers*

National University of Costa Rica, September 11,
2019

Harmonic
representations of generalized functions

• 12th International ISAAC Congress (Aveiro), July
30, 2019

• University of Costa Rica, September 9, 2019

Complex
Tauberian theorems for Laplace transforms

• National University of Costa Rica, September 11,
2019

• Hefei University of Science and Technology, China,
July 10, 2019

• Louisiana State University, USA, April 25, 2019

*Topological properties of
convolutor spaces*

Logic and analysis seminar, Ghent Universilty, March
6, 2019

2018

Topological
properties of convolutor spaces

International Conference on Generalized Functions (GF2018), Novi Sad,
August 29, 2018 (Plenary
speaker)

The
absence of remainders in the Wiener-Ikehara
theorem

• Microlcolcal and time-frequency analysis 2018,
Turin, July 5, 2018

• Logic and analysis seminar, Ghent Universilty,
October 17, 2018

On an open questions for Beurling
prime numbers concerning the relation between the
PNT and the mean-value of the Möbius function

Logic and Analysis seminar, Ghent University, March
14, 2018

Asymptotic
distribution of Beurling's generalized prime
numbers - A survey

Inaugural lecture, Department of
Mathematics, Ghent University, February 21, 2018

2017

Some
recent developments on complex Tauberian
theorems for Laplace transforms

University of Reading, UK, November 8, 2017

New developments in
the non-linear theory of generalized functions:
Optimal embeddings of ultradistributions and
hyperfunctions

• 11th International ISAAC Congress (Växjö), August
15, 2017

• Mathematics Colloquium, Sogang University, Seoul,
August 7, 2017

• Conference in memory of Todor V. Gramchev. A life
in mathematics. Generalized functions, microlocal
analysis, PDEs, and dynamical systems. Turin,
February 3, 2017

• Logic and Analysis seminar, Ghent University,
March 9, 2017

Asymptotic
distribution of Beurling's generalized prime
numbers

• Harmonic analysis seminar, Chuo
University, Tokyo, July 22, 2017

• Sungkyunkwan University, Seoul, August 4, 2017

Weyl asymptotic
formulas for infinite order PSDOs and Sobolev type
spaces

[Part
I] [Part II]

• Aspects of time-frequency analysis (ATFA17), Turin, June 6,
2017

• 11th International ISAAC Congress (Växjö), August
16, 2017

Recent
developments on complex Tauberian theorems for
Laplace transforms

• Pure analysis and PDE seminar, Imperial College
London, May 22, 2017

• Seoul National University, July 28, 2017

• Yonsei University, Seoul, August 2, 2017

Recent developments
on complex Tauberian theorems for Laplace
transforms

• International Conference on Generalized Functions
(GF2016), Dobrovnik, Croatia, September 8, 2016 (Plenary speaker)

• Different aspects of analysis and probability
(DAAP2016), Rzeszow, Poland, September 26, 2016 (Plenary speaker)

On a prime number
equivalence for Beurling numbers

Logic and Analysis seminar, Ghent University, April
27, 2016

Asymptotic
distribution of Beurling's generalized prime
numbers

• Number theory seminar, University of Illinois
Urbana-Champaign, July 5, 2016

• Louisiana State University, August 8, 2016

On
general Stieltjes moment problems

International Workshop on Generalized Functions and
Pseudo-differential operators, VI Congress of
Mathematicians of Macedonia (VI CMM), Ohrid, June
16, 2016

Complex
Tauberian theorems for Laplace transforms and
power series

Logic and Analysis seminar, Ghent University, April
27, 2016

Translation-invariant
spaces of distributions

Workshop on functional analysis, Ghent University,
January 13, 2016

Some
points on the integration theory for functions
of one real variable. A general integration
theory

Logic and Analysis seminar, Ghent University,
October 28, 2015

Translation-invariant
spaces of ultradistributions and some of their
applications

10th International ISAAC Congress (Macau), August 3,
2015

Embedding
ultradistributions into differential algebras

Workshop on Generalized Functions and Non-stardard
Analysis, University of Vienna, July 27, 2015

On the Stieltjes
moment problem

Logic and Analysis seminar, Ghent University, March
11, 2015

2014

A
general integral

• V Congress of the mathematicians of Macedonia,
Ohrid, Macedonia, September 26, 2014 (Sectional plenary
speaker).

• International Conference on Generalized Functions
(GF 2014), Southampton, UK,
September 12, 2014 (Plenary speaker).

Asymptotic
distribution of Beurling's generalized prime
numbers

• Number theory seminar, Alfréd Rényi
Institute, May 20, 2014.

• Logic and Analysis seminar, Ghent University,
December 3, 2014

Point behavior of
Fourier series and conjugate series

Analysis seminar, Alfréd Rényi Institute of
Mathematics, May 23, 2014

On Borel
summability and analytic functionals

Mathematics Colloquium, University of Costa Rica,
April 28, 2014

The support
of Silva tempered ultradistributions and Borel
summability

Seminar of Analysis and Foundations of Mathematics,
University of Novi Sad, April 7, 2014

2013

Asymptotic
distribution of Beurling's generalized prime
numbers

Algebra and logic seminar, Bulgarian Academy of
Sciences, November 5, 2013

General Stieltjes moment
problems for rapidly decreasing smooth functions

• Complex Analysis and Applications '13
(Sofia), November, 2013

• 9th International ISAAC Congress (Krakow), August
6, 2013

• Ss. Cyril and Methodius University, Skopje, July
23, 2013

• Logic and Analysis Seminar, Ghent University,
March 15, 2013

Generalized
functions,
analytic
representations, and applications to generalized
prime number theory

Clifford Analysis Seminar, Ghent University, May 27,
2013

2012

A multiplicative
partition problem: Asymptotic distribution of a
class of integers having certain prime
factorizations

Workshop
on Logic and Analysis, Ghent University, November
16, 2012

Solution to a
question posed by J. Korevaar: A new proof of the
Tauberian theorem for weighted (Beurling) algebras

Logic
and Analysis seminar, Ghent, October 19 and November
11, 2012

Asymptotic
distribution of Beurling's generalized prime
numbers

• PDE, Microlocal and Time-frequency Analysis,
Novi Sad, September 7, 2012

• University of Cagliari, Italy, February 13,
2012

Tauberian
class estimates for the wavelet and non-wavelet
transforms of vector-valued distributions

Fourier Analysis and Pseudodifferential operators,
Helsinki, June 28, 2012

Tauberian
theorems for distributions and applications

Generalized solutions to evolution
equations. Max Planck Institute for Mathematics
in the Sciences, Leipzig, April 12, 2012

Riemann's
example of a continuous, "non-differentiable"
function

Logic and Analysis Seminar, Ghent University, March
9, 2012

2011

Asymptotic
formulas for partitions, III. On a multiplicative
partition problem involving certain prime numbers

Logic and Analysis Seminar, Ghent University,
December 9, 2011

Asymptotic
formulas for partitions, II. Ingham's approach

Logic and Analysis Seminar, Ghent University,
December 2, 2011

Asymptotic
formulas for partitions, I. Tauberian methods

(lecture notes)

Logic and Analysis Seminar, Ghent University,
November 18, 2011

Tauberian class
estimates for wavelet and non-wavelet transforms
of vector-valued distributions

6th International Conference Transforms Methods
& Special Functions (TMSF 2011), Bulgarian Academy
of Sciences, Sofia, October 21, 2011

Point behavior of
Fourier series and conjugate series

Logic and Analysis Seminar, Ghent University,
October 14, 2011

Chebyshev
estimates for Beurling's generalized primes

Logic and Analysis Seminar, Ghent University,
October 7, 2011

Scaling
asymptotic properties of distributions and
wavelet and non-wavelet transforms

Université Paris-Est Créteil Val de Marne,
Séminaire Cristolien d'Analyse Multifractale,
September 22, 2011

Introduction
to
Tauberian
theory. A distributional approach

Minicourse at:

• Aalto University, Institute of Mathematics,
Helsinki, June 6-10, 2011

• University of Costa Rica, School of Mathematics,
July 26 - August 10, 2011

A
General Integral

• Mathematics Colloquium, Serbian Academy of
Sciences and Arts, Belgrade, March 18, 2011

• Seminar of Analysis and Foundations of
Mathematics, University of Novi Sad, March 13, 2011

• University of Costa Rica, School of Mathematics,
August 10, 2011

• Logic and Analysis Seminar, Ghent University,
April 08, 2011

The wavelet
transform and function spaces

Imperial College, Department of Mathematics, London,
May 18, 2011

Pointwise
scaling properties of distributions and the
wavelet transform

(Plenary speaker,
jointly with Stevan Pilipovic)

International Conference on Generalized Functions -
Linear and Non-linear Problems (GF 2011),
Martinique, France, April 22, 2011

2010

Simple proofs of
Littlewood's Tauberian theorem

Logic and Analysis Seminar, Ghent University,
October 21, 2010

Applications of the phi-transform.
Tauberian theorems. Part II

Symposium - Summer School, Generalized Functions in PDE,
Geometry, Stochastics and Microlocal Analysis, Novi
Sad, Serbia, September 4, 2010

The
Prime Number Theorem for Beurling's Generalized
Primes. New Cases

International Conference on Generalized Functions -
Special Edition (GFSE10), Novi Sad, Serbia,
June 5, 2010

Point
Behavior of Fourier Series and Conjugate Series

Aalto University, Helsinki, May 25, 2010

The Prime Number Theorem for
Generalized Integers. New Cases

Logic and Analysis Seminar, Ghent University, April
29, 2010

Point
Behavior of Fourier Series and Conjugate Series

Seminar of Analysis and Foundations of Mathematics,
University of Novi Sad, Serbia, March 8, 2010

Simple
Proofs of No-Where Differentiability for the
Weierstrass Function

Logic and Analysis Seminar, Ghent University,
February 25, 2010

2009

The Prime Number
Theorem by Distribution Theory

Logic and Analysis Seminar, Ghent University,
October 8, 2009

On some Tauberian theorems and
their distributional versions (Spanish)

School of Mathematics, University of Costa Rica,
September 19, 2009.

Wavelet Expansions of
Distributions

School of Mathematics, National University of
Costa Rica, September
9,
2009

On some Tauberian theorems
(Spanish)

Conference on Mathematics and Education,
School of Mathematics, National University of Costa
Rica, August 19, 2009

An
introduction
to regular variation: Karamata Theory
(Spanish)

School of Mathematics, University of Costa Rica, May
2009.

Introduction
to
Fourier series and a conjecture on rectangular
summability of double Fourier series
(Spanish)

School of Mathematics, National University of Costa
Rica, May 2009.

A
quick distributional way to the prime number
theorem

AMS-SIAM Special Session on Asymptotic Methods in
Analysis with Applications, 2009 Joint Mathematics Meeting,
Washington, DC, USA, January 6, 2009

2008

Generalized
asymptotics
and some applications (Spanish)

Costa Rica National Council for Scientific Research,
San Jose, Costa Rica,

December 17, 2008

Generalized asymptotics and
applications

Imperial College London, UK, November 12, 2008

The Prime Number Theorem by
Generalized Asymptotics

Seminar of Analysis and Foundations of Mathematics,
University of Novi Sad, Serbia, November 10, 2008

Introduction to distributions and
fundamental solutions of Partial
Differential Operators with constant
coefficents

These are very informal hand-written lecture
notes of my talks given on July 7 and 11 (2008) for
the LSU Harmonic analysis student seminar

On the jump
behavior of distributions and logarithmic averages

AMS 2008 Spring Southeastern
sectional meeting, Baton Rouge, LA, USA, March
29, 2008

The structure of
quasiasymptotics of Schwartz distributions

Quantum Vacuum Meeting, University of Oklahoma,
Norman, OK, USA, March 15, 2008

Local boundary
behavior of harmonic and analytic functions:
Abelian theorems for quasiasymptotics of
distributions

Applied analysis graduate student seminar, Louisiana
State University, Baton Rouge, LA, USA, March 12,
2008

2007

Some asymptotic
notions for Schwartz distributions

Applied analysis graduate student seminar, Louisiana
State University, Baton Rouge, LA, USA, November 17,
2007

Structural theorems
for quasiasympototics of Schwartz distributions

International Conference on Generalized Functions (GF07), Mathematical Research
and Conference Center, Bedlewo, Poland, September 7,
2007

Pointwise
Fourier inversion formula for tempered
distributions

Seminar of the Department of Theoretical Physics,
Complutense University of Madrid, Madrid, Spain,
March 28, 2007

Tauberian
theorem for distributional point values (Spanish)

Seminar of the Department of Mathematical Analysis,
University of Valladolid, Valladolid, Spain, March
22, 2007

Pointwise
Fourier inversion formula and characterization of
distributional point values for distributions

Seminar of the Department of Mathematical Analysis,
Universidad de Valladolid, Valladolid, Spain, March
21, 2007

2006

Pointwise
Fourier inversion formula and characterization of
distributional point values for tempered
distributions

Seminar of Analysis and Foundations of
Mathematics, University of Novi Sad, Novi Sad,
Serbia, December 12, 2006

Pointwise
Fourier inversion formula for tempered
distributions

Mathematics Colloquium, University of Innsbruck,
Innsbruck, Austria, November 22, 2006

Distributional
Point Values and Convergence of Fourier Series and
Integrals

Seminar of Mathematics, National University of Costa
Rica, Heredia, Costa Rica, August 16, 2006

A simple proof of
a Hardy and Littlewood Tauberian theorem

Workshop on Harmonic Analysis and
Fractal Geometry, Louisiana State University,
Baton Rouge, LA, USA, February 25, 2006