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Research interests
Analysis of PDEs and harmonic analysis
- PDOs and ΨDOs on curved manifolds and microlocal analysis
- Commutative non-Euclidean Fourier analysis and its relation with quantum integrability
- Non-commutative harmonic analysis and global quantization on groups, homogeneous spaces and more general manifolds
- The correspondence between harmonic analysis and spectral theory
- Harmonic and spectral analysis on almost Abelian groups and homogeneous spaces
- QFT in curved spacetimes and mathematical cosmology
- Elementary particle states in homogeneous cosmological spacetimes
- Quantum integrability and quantization of non-linear systems
The conference “Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis-X (OTHA 2021)”.
Avetisyan Zhirayr - The resolvent of a first order system and spectral asymptotics.
Avetisyan Zhirayr - The resolvent of a first order system and spectral asymptotics.
OTHA-2021
Avetisyan Zhirayr
Avetisyan Zhirayr - Homogeneous operators and homogeneous integral operators.
The international scientific offline workshop OTHA Fall 2021 on operator theory and harmonic analysis and their applications (14-16 December 2021, Southern Federal University, Rostov-on-Don, Russia). The conference program includes invited talks and talks of young scientists.
The site of OTHA Fall 2021: http://otha.sfedu.ru/workshop-otha-fall-2021/.
The international scientific offline workshop OTHA Fall 2021 on operator theory and harmonic analysis and their applications (14-16 December 2021, Southern Federal University, Rostov-on-Don, Russia). The conference program includes invited talks and talks of young scientists.
The site of OTHA Fall 2021: http://otha.sfedu.ru/workshop-otha-fall-2021/.
OTHA Fall 2021
Avetisyan Zhirayr
In Focus
