Conference Talks and Invited Lectures

Talks

Slides or notes are available as pdf files

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