A survey of our recent works on nonharmonic analysis

On 30 Apr 202130 Apr 2021 By Bolys SabitbekIn News

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

On 20 Apr 202120 Apr 2021 By Bolys SabitbekIn News

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

On 14 Mar 202114 Mar 2021 By Bolys SabitbekIn News

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

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!

The logos of Ghent Analysis and PDE Center

On 6 Mar 2021 By Bolys SabitbekIn News

Dear Colleagues,

We would like to announce that the logos of our group are available for download by clicking on the pictures. The logos can be used in materials such as conferences, seminars, presentations, lectures, etc. Link to page

COLLOQUIA, SEMINARS & LECTURES at KU Leuven

On 22 Feb 2021 By Bolys SabitbekIn News

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

New Ghent Methusalem Junior Analysis & PDE seminar

On 19 Feb 202120 Feb 2021 By Michael RuzhanskyIn News

The Ghent Analysis & PDE Center is launching a new junior seminar:

Methusalem Junior Analysis & PDE Seminar is run by PhD students and postdocs at Ghent Analysis & PDE Center. It provides an opportunity to young researchers in various areas of analysis and PDEs to share their ideas and to learn new exciting things related to the topics of Analysis & PDEs as well as broader mathematical subjects.

All are welcome to attend!

The seminar currently takes place on ZOOM.

Website of the seminar

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

On 3 Dec 2020 By Bolys SabitbekIn NewsLeave a comment

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

Hardy inequalities on homogeneous groups

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

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

Vishvesh Kumar at Virtual Math Fest

On 25 Jul 202025 Jul 2020 By Michael RuzhanskyIn News1 Comment

Vishvesh Kumar has just given a nice talk at the Virtual Math Fest 2020 (Symposium on Analysis and PDE)

The talk was about Lp-Lq boundedness of Fourier multipliers associated with the anharmonic oscillator,

on the joint work with Marianna Chatzakou from Imperial College London.

Well done, Vishvesh!

Chatzakou M., Kumar V., Lp-Lq boundedness of Fourier multipliers associated with the anharmonic oscillator. arxiv
Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. arxiv
Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., L^p–L^q boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv

Watch the talk on YouTube

Linda Botchway starting her PhD

On 8 Jul 20208 Jul 2020 By Michael RuzhanskyIn News1 Comment

Congratulations to Linda Botchway, for receiving the grant of USD 15,500 from the Carnegie Corporation of New York (CCNY), for her PhD at the University of Ghana, Legon, under our supervision.

Linda Well done, Linda!

We are looking forward to Linda’s visits to our Analysis & PDE Center at Ghent University, and to her enrolment to UGent PhD program for a joint PhD.

Research of Linda on pseudo-differential operators on ${\mathbb Z}^n$ started while she was a Master student at AIMS Ghana. This resulted in a substantial (41 pages) publication, a great achievement for a Master Student:

Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zⁿ, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp. link (open access), arxiv

In the above paper one makes a consistent development of the calculus of pseudo-differential operators which can be called pseudo-difference operators in the context of the lattice ${\mathbb Z}^n$ Some interesting questions to answer:

- how to define Hörmander type or other symbol classes on ${\mathbb Z}^n$ ?
- what is the relation to the analysis on the torus ${\mathbb T}^n$ ?
- can it be used to derive new properties of operators on ${\mathbb Z}^n$ ?
- how to apply it to solving difference equations and to finding properties of their solutions?

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

On 7 Jul 2020 By Bolys SabitbekIn UncategorizedLeave a comment

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