Our updated research pages

We would like to share our update on the research pages: Functional inequalities and Nonharmonic analysis.

Functional inequalities: Here we present a historical overview of original Hardy inequality.

G. H. Hardy and Harald Bohr (pictures from Wikipedia)

G. H. Hardy reported Harald Bohr as saying ’all analysts spend half their time hunting through the literature for inequalities which they want to use but cannot prove’.



Nonharmonic analysis: We show the difference between harmonic vs nonharmonic analysis and give a survey of our recent works.

Harmonic analysis: symmetries in the underlying space, e.g. working with e^{2\pi i x\cdot\xi} on \mathbb T^n with \xi\in\mathbb Z^n; more generally, working with representations of compact, nilpotent, or more general locally compact type I groups;

Nonharmonic analysis: no symmetries in the underlying space, e.g. working with e^{2\pi i x\cdot\xi} on \mathbb T^n with \xi\not\in\mathbb Z^n; This name was given by Paley and Wiener.

A survey of our recent works on nonharmonic analysis

Prof. Ruzhansky gave a talk about “Nonharmonic pseudo-differential analysis” at Seminar on Analysis, Differential Equations and Mathematical Physics, at the Southern Federal University, Russia.

Our page about Nonharmonic analysis.

YouTube VIDEO

Here we break a talk to timestamps:

  • Overview of global (harmonic) quantization theories – 1:27
  • Harmonic analysis of pseudo-differential operators – 3:39
  • Harmonic vs nonharmonic analysis – 8:02
  • Nonharmonic analysis of boundary value problems – 11:23
  • General philosophy – 14:24
  • Global Fourier analysis associated to L and L* – 22:58
  • Convolution associated to L and L* – 27:52
  • Fourier multipliers – 36:06
  • Difference operators – 40:53
  • Summary of results – 52:32

    Interesting comments from Prof Lars-Erik Persson – The Happy Mathematician  55:30

Our Methusalem/Odysseus Programme on ResearchGate

Dear Colleagues,

ResearchGate is a European commercial social networking site for scientists and researchers to share papers, ask and answer questions, and find collaborators. By some people, it is also considered like a Facebook for scientists.

So we have created a ResearchGate page for our Methusalem/Odysseus Programme to advertise and share our research papers and related activities (conferences, posters, advertisements, etc.)

Congratulations to BMS with 100 years

Our group would like to congratulate the Belgian Mathematical Society (BMS) with 100 years anniversary since the BMS was founded on 14 March 1921. Surprisingly or not, this date coincides with the Pi-day (3.14) in Mathematics. Read more

BMS logo

Some highlights from the BMS Newsletter:

Congratulations to Leo Storme for being awarded a very prestigious Francqui chair at VUB 2021!

Come to Professor Storme inaugural lecture “FINITE GEOMETRY: PURE MATHEMATICS CLOSE TO PRACTICAL APPLICATIONS” on ZOOM on Monday, 19 April, 2021 – 18:00

Also, you find the information about our new junior seminar in the BMS newsletter, as well as an announcement of open positions at our Analysis & PDE Centre.

Happy Pi-day everyone!

COLLOQUIA, SEMINARS & LECTURES at KU Leuven

We would like to recommend the Colloquia, Seminars and Lectures by METHUSALEM PROJECT PURE MATHEMATICS from KU Leuven.

METHUSALEM COLLOQUIA

The Methusalem colloquia are intended for a broad audience of graduate and PhD students, postdocs and professors. The series will include colloquia from guests as well as the first colloquium-style talk of the Methusalem Lecture Series. See more

METHUSALEM JUNIOR SEMINAR

The Junior Seminar in Pure Mathematics is an interdisciplinary seminar run by PhD students and postdocs at KU Leuven. The seminar is currently running online and hosts a 1-hour talk each session. See more

METHUSALEM LECTURE SERIES

The Methusalem Lecture Series are mini-courses directed towards a broad audience of graduate students, PhD students, postdoctoral researches and professors. Each mini-course will start with a colloquium-style talk intended to be both accessible and attractive to mathematicians from diverse areas and will continue with a series of 3 to 5 lectures spanning 2 hours each. See more

Our own GHENT METHUSALEM JUNIOR SEMINAR

Congratulations to Prof Sadybekov and Dr Suragan for winning Kazakhstan State Prize

Kassym-Jomart Tokayev, President of Kazakhstan, signed a decree on awarding the State Prize in the field of science and technology named after al-Farabi to Prof Sadybekov and Dr Suragan for the series of works on “On the theory of nonlocal differential operators”.

This is the biggest scientific award in Kazakhstan, so congratulations!

We know both of them well, for example, from the cooperation on the just published (open access) book:

Ruzhansky M., Sadybekov M., Suragan D., Spectral geometry of partial differential operators, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC Press, 2020. 378pp. link, free download (open access book), poster

Spectral geometry of partial differential operators
Hardy inequalities on homogeneous groups

Many of us remember Durvudkhan’s visit to our Analysis & PDE group at UGent.

You can read more here on his achievements

Also, our PhD student Aishabibi Dukenbayeva is supervised jointly with Makhmud Sadybekov.

Webinar by AMS.org: Accessibility Best Practices for Moving Mathematics Online

Description: For many years there has been a push for moving teaching and research content online in a form that goes beyond just linking print versions of documents. The COVID pandemic has only accelerated this trend, forcing all faculty to focus on how to deliver courses online. However, hastily moving material online bears the risk that important accessibility considerations are neglected, threatening fair and inclusive education for all. This is especially true for mathematics and other STEM fields where complex structures such as equations and diagrams play an integral role. In this webinar we will advocate that in addition to moving content online quickly, instructors can use best practices developed for authors to ensure accessibility of math content from the start, thus avoiding additional and duplicate work.

Our presentation shall give an overview of different requirements on presentation and content for students and readers with special needs and how assistive technology support can be provided. We shall particularly concentrate on what this means for math content and how it is made accessible on the web. We argue that the web is the ideal platform for hosting and curating modern content regardless of their original sources like LaTeX, Word, or plain text. And we will demonstrate how accessibility can be practically a free byproduct of conversion from traditionally authored content. In conclusion we discuss ways of authoring, preparing, and teaching accessible web documents containing mathematics, highlighting some of the best practices.

Presented by Prof. Volker Sorge, University of Birmingham, UK & MathJax Consortium

Time:   July 13, 2020 02:00 PM in Eastern Time (US and Canada)

This information is presented here

Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani

Filmed in Canada, Iran, and the United States, Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani examines the life and mathematical work of Maryam Mirzakhani, an Iranian immigrant to the United States who became a superstar in her field. In 2014, she was both the first woman and the first Iranian to be honored by mathematics’ highest prize, the Fields Medal. Read more

Trailer of the documentary here.

Also, Zala Films is supporting the May 12th initiative of the International Mathematical Union’s Committee for Women in Mathematics, which each year brings together virtual or local events celebrating women in mathematics. Due to COVID-19 (and by special agreement with Zala Films), individuals and organizations between April 1 and May 19, 2020, may access our film about the life and work of the Iranian mathematician Maryam Mirzakhani, Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani. (You can make a request for screening authorization here.

For more information, visit www.msri.org/general_events/24654.

We are sharing information from http://zalafilms.com/secrets/