International Conference on Noncommutative Analysis

18-20 August 2020

Ghent Analysis & PDE Center

Queen Mary University of London

Ghent University/ZOOM

Add Conference to Google Calendar

ZOOM instructions

Speakers and colleagues with whom we have been in contact will receive individual zoom invitations. If you want to have full participating privileges (camera, microphone), please let us know. We can also upgrade your participation mode during the event, if you let us know via chat.

Join it as a webinar at https://zoom.us/j/97271723132?pwd=UG xDaHlkWEk5bUZnZEJhTm9GZkNkdz09

Passcode: 195155

The start is at 9:00 am CET (Central European Time)

Book of Abstracts

Book of Abstracts (YouTube MOVIE)

Description

The aim of the conference is to exchange the recent progress and ideas in the field of noncommutative analysis and related broader analysis. Our group took an initiative to organise this workshop for the continuity of research in the field despite the coronavirus times, therefore, the conference will take place on ZOOM.

The conference will be of interest to all noncommutative analysts, as well as to mathematicians working in related areas of analysis (commutative, spectral, harmonic, nonharmonic) and partial differential equations.

Confirmed Speakers and Participants

• Jean-Philippe Anker (Université d’Orléans, France)
• Ingrid Beltita (Institute of Mathematics of the Romanian Academy, Romania)
• Tommaso Bruno (Ghent University, Belgium)
• Paula Cerejeiras (University of Aveiro, Portugal)
• Marianna Chatzakou (Imperial College London, UK)
• Gregory Chirikjian (Johns Hopkins University, USA, and NUS, Singapore)
• Radouan Daher (Université Hassan II de Casablanca, Morocco)
• Anthony Dooley (University of Technology Sydney, Australia)
• Hans Feichtinger (University of Vienna, Austria)
• Hartmut Führ (Aachen University, Germany)
• Karlheinz Gröchenig (University of Vienna, Austria)
• Bernard Helffer (Université de Nantes, France)
• Uwe Kähler (Aveiro University, Portugal)
• Vishvesh Kumar (Ghent University, Belgium)
• Franz Luef (Norwegian University of Science and Technology, Norway)
• El mehdi Loualid (University Chouaib Doukkali, El Jadida, Morocco)​
• Marius Mantoiu (University of Chile, Chile)
• Alessio Martini (University of Birmingham, UK)
• Rakesh Kumar Parmar (Bikaner Technical University, India)
• Kenneth Ross (University of Oregon, USA)
• David Rottensteiner (Ghent University, Belgium)
• Margit Rösler (Paderborn University, Germany)
• Michael Ruzhansky (Ghent University and Queen Mary University of London)
• Faouaz Saadi (Université Hassan II de Casablanca, Morocco)
• Bolys Sabitbek (Queen Mary University of London, UK)
• Adam Sikora (Macquarie University, Australia)
• Fedor Sukochev (University of New South Wales, Australia)
• Gabor Szabo (KU Leuven, Belgium)
• Sundaram Thangavelu (Indian Institute of Science, Bangalore, India)
• Jeremy Tyson (University of Illinois at Urbana-Champaign, USA)
• Othman Tyr (Université Hassan II de Casablanca, Morocco) 
• Stefaan Vaes (KU Leuven, Belgium)
• Jordy van Velthoven (University of Vienna, Austria)/./
• Hong-Wei Zhang (Université d’Orléans, France)
• Noncommutative analysts in Ghent

Our recent events (with slides and videos)

• Pseudo-differential Conference
• Workshop on Fractional Calculus

Presenting a Poster

If you would like to present a poster at the conference, we are happy to do it. We may display it during some break, and will also put it on this website. If you are interested, let us know. Examples of posters (more at the bottom of this webpage):

Michael Ruzhansky and Durvudkhan Suragan: Hardy inequalities on homogeneous groups (thanks to Dr Bolys Sabitbek for making this poster) Michael Ruzhansky, Makhmud Sadybekov and Durvudkhan Suragan: Spectral geometry of partial differential operators (thanks to Dr Bolys Sabitbek for making this poster)

Noncommutative analysts in Ghent

Some information on noncommutative analysis can be seen here

Presentation of our group

Preliminary Schedule (Central European Time)

18 August (Tuesday)

8:45 – 9:00	Opening Ceremony
9:00 – 9:40	Fedor Sukochev (University of New South Wales, Australia): Singular traces and the density of states (Slide) (Video)
9:40 – 10:20	Margit Rösler (Paderborn University, Germany): Riesz distributions and the Wallach set in rational Dunkl theory (Slide) (Video)
10:20 – 10:40	Break
10:40 – 11:20	Jean-Philippe Anker (Université d’Orléans, France): Bottom of the $L^2$ spectrum of the Laplacian on locally symmetric spaces (Slide) (Video)
11:20 – 12:00	Radouan Daher (Université Hassan II de Casablanca, Morocco): Some new results on q-Dunkl harmonic analysis (Slide) (Video)
12:00 – 14:00	Lunch break
13:15-14:00	Blitztalk Session (Video)
14:00 – 14:40	Stefaan Vaes (KU Leuven, Belgium): Classification problems in operator algebras  (Slide) (Video)
14:40 – 15:20	Marius Mantoiu (University of Chile, Chile): Some Spectral Results for Pseudodifferential Operators on Noncommutative Groups  (Video)

19 August (Wednesday)

9:00 – 9:40	Sundaram Thangavelu (Indian Institute of Science, Bangalore, India): Holomorphic extensions of eigenfunctions on NA groups (Slide) (Video)
9:40 – 10:20	Adam Sikora (Macquarie University, Australia): Riesz transforms on a class of non-doubling manifolds (Slide) (Video)
10:20 – 10:40	Break
10:40 – 11:20	Bernard Helffer (Université de Nantes, France): Maximal estimates for the Kramers-Fokker-Planck operator with electromagnetic field (Slide) (Video)
11:20 – 12:00	Alessio Martini (University of Birmingham, UK): Spectral multipliers for spherical Grushin operators (Video)
12:00 – 14:00	Lunch break
14:00 – 14:40	Hans Feichtinger (University of Vienna, Austria): Invariant function spaces as double modules (Video)
14:40 – 15:20	Uwe Kähler (Aveiro University, Portugal): Quaternionic Volterra operators and triangular representations  (Video)
15:20 – 15:40	Break
15:40 – 16:20	Hartmut Führ (Aachen University, Germany): Coarse geometric methods for generalized wavelet approximation theory (Slide) (Video)
16:20 – 17:00	Jeremy Tyson (University of Illinois at Urbana-Champaign, USA): Geometric measure theory and Fourier analysis on the sub-Riemannian Heisenberg group  (Video)

20 August (Thursday)

9:00 – 9:40	Anthony Dooley (University of Technology Sydney, Australia): On the non-commutative Kirillov formula (Slide)(Video)
9:40 – 10:20	Gregory Chirikjian (Johns Hopkins University, USA, and NUS, Singapore): Degenerate Diffusions on Unimodular Lie Groups (Slide)(Video)
10:20 – 10:40	Break
10:40 – 11:20	Karlheinz Gröchenig (University of Vienna, Austria): New Function Spaces associated toRepresentations ofNilpotent Lie Groups and Generalized Time-Frequency Analysis (Slide) (Video)
11:20 – 12:00	Franz Luef (Norwegian University of Science and Technology, Norway): Gaussian Gabor frames and Kaehler geometry (Slide)
12:00 – 12:40	Ingrid Beltita (Institute of Mathematics of the Romanian Academy, Romania): $C^*$-algebras of solvable Lie groups and their finite-dimensional approximation properties  (Video)
12:40 – 13:00	Closing

Organisers (Ghent Analysis & PDE Center)

• David Rottensteiner, Vishvesh Kumar, Michael Ruzhansky
• Duvan Cardona, Marianna Chatzakou, Bolys Sabitbek and Junqing Huang
• Conference secretary: Ms Kim Verbeeck 

Noncommutative analysis in Ghent

Contact

Email conference secretary Ms Kim Verbeeck For further information please contact Dr David Rottensteiner at David.Rottensteiner@UGent.be And thanks to Duván, Marianna, and Vishvesh for making the book of abstracts!

Some of our noncommutative works:

Compact and graded Lie groups

• Ruzhansky M., Turunen V., Pseudo-differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhauser, Basel, 2010. 724pp. Contents, description and samples, this book and time-frequency analysis, summary at Birkhauser review Bookmetrix
• Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of  Ferran Sunyer I Balaguer Prize 2014
• Dasgupta A., Ruzhansky M., Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups, J. Anal. Math., 128 (2016), 179-190. offprint (open access), arxiv, link

Nilpotent Lie groups with flat orbits 

• Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link

Analysis on locally compact and quantum groups

• Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access), arxiv
• Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groups, Comm. Math. Phys., 362 (2018), 761-799. offprint (open access), link, arxiv
• Mantoiu M., Ruzhansky M., Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups, Doc. Math., 22 (2017), 1539-1592. offprint (open access), link, arxiv

Homogeneous groups

• Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, free download (open access book), poster, the winner of  Ferran Sunyer I Balaguer Prize 2018
• Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access), arxiv, link
• Ruzhansky M., Suragan D., Layer potentials, Green formulae, Kac problem, and refined Hardy inequality on homogeneous Carnot groups, Adv. Math., 308 (2017), 483-528. offprint (open access), arxiv, link
• Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities, Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62. offprint (open access), link, arxiv
• Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088. link (open access), arxiv

Hypergroups

• Kumar V., Ruzhansky M., Hardy-Littlewood inequality and L^p–L^q Fourier multipliers on compact hypergroups. arxiv

Homogeneous manifolds

• Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. link, arxiv
• Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548.
• Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49.
• Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds, Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), 981-1017.
• Dasgupta A., Ruzhansky M., Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Bull. Sci. Math., 138 (2014), 756-782. offprint (open access), arxiv, link

Heisenberg groups

• Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, to appear. arxiv
• Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
• Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., to appear. arxiv
• Ruzhansky M., Tokmagambetov N., Torebek B., Bitsadze-Samarskii type problem for the integer-differential diffusion-wave equation on the Heisenberg group, Integral Transforms and Special Functions, 31 (2020), 1-9. link (open access)
• Ruzhansky M., Tokmagambetov N., Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. J. Differential Equations, 265 (2018), 5212-5236. offprint (open access), arxiv, link
• Ruzhansky M., Suragan D., On Kac principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group, Proc. Amer. Math. Soc., 144 (2016), 709-721. arxiv, link

Pseudo-differential operators on the lattice Zⁿ

• 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

Ghent Analysis & PDE in usual times

Some other forthcoming conferences:

Generalised Functions Conference GF2020

Official GF2020 website

ISAAC Congress 2021

☞ ☞ Download: ISAAC history 1996-2016 ☜ ☜

Forthcoming Tsunamis Workshop:

Other possibly interesting/useful things:

Open access books for free download:

1. Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of  Ferran Sunyer I Balaguer Prize 2014
2. Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, download (open access book), the winner of  Ferran Sunyer I Balaguer Prize 2018
3. 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)

There is also a forthcoming special issue on evolution equations with singularities.

If you work in analysis, there is still a possibility to submit a paper to the (refereed) volume: Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Springer, to appear

Our modelling of COVID-19 for Belgium:

The effectiveness analysis is carried our for the lockdown in Belgium and of its duration, as well as of several phases of its relaxation. The comparative projection is made of different scenarios depending on the strength of confinement measures and their implementation.

• Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for Belgium. medRxiv, paper

Our other research on medical imaging & analysis

Posters