Jasson Vindas :: Talks

Conference Talks and Invited Lectures

Talks

Slides or notes are available as pdf files

2024

Some developments on the Wiener-Ikehara theorem
• Arpilysm 1: Applications of Mathematics to Mathematics, Arpino, Italy, November 10-14, 2024
•International Conference on Generalized Functions (GF2024), Turin, September 17, 2024 (Plenary speaker)
• Linnaeus University, Växjö, Sweden, August 28, 2024
• 8th Workshop on Graph Theory and Applications, Ohrid, August 9, 2024 (Invited speaker)
• 2nd Analysis Mathematica Conference, Budapest, July 29, 2024 (Invited speaker)

On the sum function of the Möbius function of a generalized number system
Workshop on Beurling Numbers, Rényi Institute, Budapest, July 25, 2024

A generalized prime random approximation procedure and some of its applications
Getaltheorie in het vlakke land (GVL), University of Lille, June 24, 2024

A Tauberian approach to Blackwell's renewal theorem
Analysis seminar, Ghent University, April 29, 2024

Spaces of functions with nearly optimal time-frequency decay
Workshop time-scale and time-frequency analysis
Free University of Brussels, April 18, 2024 (Invited speaker)

On the density hypothesis for L-functions associated with holomorphic cusp forms
Mathematics Colloquium, University of Costa Rica, August 10, 2024

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

2019

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

2016

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

2015

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