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 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.

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

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

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”.

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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

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.