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
• 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