Yurii Lyubarskii

About

Yurii Lyubarskii (1950) is Professor at the Department of Mathematical Sciences. He is a member of The Analysis Group. Professor Lyubarskii has a PhD in mathematics from Institute for Low Temperatures, Kharkov, Ukraine, and a Doctor Sci. degree in Mathematics from Steklov Mathematical Institute, St.Petersburg, Russia.

Work Experience

1996- Professor, Dept. of Mathematical Sciences, NTNU
1971-2001 Researcher, Leading Researcher, Institute for Low Temperature Physics & Engineering, Ukraine
1974-1985 Part time lecturer, Kharkov State University, Ukraine

Recent extended research visits

Aug 2015-June 2016, Visiting researcher, Purdue University, Indiana, USA
Spring 2008, Visiting researcher, University of Marseille, France
Fall 2008 – Spring 2009, Visiting researcher, University of California, Berkeley
Fall 2012- Spring 2013, Project leader, Center of Advanced Study, Oslo

Recent Research Projects

2015- Leader of Trondheim node, NFR FRINAT project: “Geometry and Analysis of Complex Shapes and Applications to Mathematical Physics”

2015- Project leader, NFR FRINAT project: “Discrete Models in Mathematical Analysis”
2015- Participant, Aurora NFR project: “Complex and Harmonic Analysis Related to Generating Systems: phase space localization properties, sampling and applications”
Fall 2012-Spring 2013, Project leader (together with K.Seip) Center of Advanced Study: “Operator related function theory and timefrequency analysis”

He has supervised 3 graduated doctoral candidates, and is currently supervising 1 PhD candidate. He is a member of The Royal Norwegian Society of Science and Letters.

Publications

2023

Barkhayev, Pavlo; Belov, Yu.; Lyubarskii, Yurii. (2023) SUMMATION METHOD IN AN OPTIMAL CONTROL PROBLEM WITH DELAY. St. Petersburg Mathematical Journal
Academic article

2022

Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Irregular Gabor frames of Cauchy kernels. Applied and Computational Harmonic Analysis
Letter to the editor
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Gabor frames for rational functions. Inventiones Mathematicae
Academic article
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Correction to:Gabor frames for rational functions (Inventiones mathematicae, (2022), 10.1007/s00222-022-01151-8). Inventiones Mathematicae
Errata

2020

Iosevich, Alex; Kolountzakis, Mihalis; Lyubarskii, Yurii; Mayeli, Azita; Pakianathan, Jonathan. (2020) On Gabor orthonormal bases over finite prime fields. Bulletin of the London Mathematical Society
Academic article

2019

Gröchenig, Karlheinz; Lyubarskii, Yurii. (2019) Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames. Complex Variables and Elliptic Equations
Academic article

2018

Jaming, Philippe; Lyubarskii, Yurii; Malinnikova, Eugenia; Perfekt, Karl-Mikael. (2018) Uniqueness for discrete Schrodinger evolutions. Revista matemática iberoamericana
Academic article
Gesztesy, Fritz; Hanche-Olsen, Harald; Jakobsen, Espen Robstad; Lyubarskii, Yurii; Risebro, Nils Henrik; Seip, Kristian. (2018) Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Press European Mathematical Society (EMS) Press
Academic anthology/Conference proceedings

2015

Aleman, Alexandru; Lyubarskii, Yurii; Malinnikova, Eugenia; Perfekt, Karl-Mikael. (2015) Trace ideal criteria for embeddings and composition operators on model spaces. Journal of Functional Analysis
Academic article
Belov, Yurii; Lyubarskii, Yurii. (2015) On Summation of Nonharmonic Fourier Series. Constructive approximation
Academic article

2014

Lyubarskii, Yurii; Ortega-Cerda, Joaquim. (2014) Bandlimited Lipschitz functions. Applied and Computational Harmonic Analysis
Academic article

2013

Lyubarskii, Yurii; Malinnikova, Eugenia. (2013) Composition operators on model spaces.
Academic chapter/article/Conference paper
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics
Academic article

2012

Lyubarskii, Yurii; Malinnikova, Eugenia. (2012) Radial oscillation of harmonic functions in the Korenblum class. Bulletin of the London Mathematical Society
Academic article

2010

Borichev, Alexander; Lyubarskii, Yurii; Malinnikova, Eugenia; Thomas, Pascal. (2010) Radial growth of functions in the Korenblum space. St. Petersburg Mathematical Journal
Academic article
Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory
Academic article
Borichev, A; Grochenig, K; Lyubarskii, Yurii. (2010) Frame constants of Gabor frames near the critical density. Journal des Mathématiques Pures et Appliquées
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2010) RIESZ BASES OF REPRODUCING KERNELS IN FOCK-TYPE SPACES. Journal of the Institute of Mathematics of Jussieu
Academic article

2009

Grochenig, K; Lyubarskii, Yurii. (2009) Gabor (super)frames with Hermite functions. Mathematische Annalen
Academic article
Ascensi, Gerard; Lyubarskii, Yurii; Seip, Kristian. (2009) Phase space distribution of Gabor expansions. Applied and Computational Harmonic Analysis
Academic article

2008

Lyubarskii, Yurii; Bloom, Thomas; Levenberg, Norman. (2008) A Hilbert Lemniscate Theorem in ℂ 2. Annales de l'Institut Fourier
Academic article
Lyubarskii, Yurii; Madych, WR. (2008) Irregular Poisson Type Summation. Sampling Theory in Signal and Image Processing
Academic article

2007

Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse Mathematique
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications
Academic article
Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique
Academic article

2005

Lyubarskii, Yurii; Madych, WR. (2005) Interpolation of functions from generalized Paley-Wiener spaces. Journal of Approximation Theory
Academic article

2002

Seip, Kristian; Lyubarskii, Yurii. (2002) Weighted Paley-Wiener spaces. Journal of The American Mathematical Society
Academic article

2001

Lyubarskii, Yurii; Seip, Kristian. (2001) A splitting problem for unconditional bases of complex exponentials. Israel mathematical conference proceedings. (15)
Report
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics
Academic article
Lyubarskii, Yurii. (2001) On approximation of subharmonic functions. Journal d'Analyse Mathematique
Academic article

2000

Lyubarskii, Yurii; Rashkovskii, Alexander. (2000) Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons. Arkiv för matematik
Academic article

1999

Flornes, Kristin; Lyubarskii, Yurii; Seip, Kristian. (1999) A direct interpolation method for irregular sampling. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1999) Convergence and summability of Gabor expansions at the Nyquist density. Journal of Fourier Analysis and Applications
Academic article

1997

Lyubarskii, Yurii; Seip, Kristian. (1997) Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition. Revista matemática iberoamericana
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1997) Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets. Journal of Fourier Analysis and Applications
Academic article

Journal publications

Barkhayev, Pavlo; Belov, Yu.; Lyubarskii, Yurii. (2023) SUMMATION METHOD IN AN OPTIMAL CONTROL PROBLEM WITH DELAY. St. Petersburg Mathematical Journal
Academic article
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Irregular Gabor frames of Cauchy kernels. Applied and Computational Harmonic Analysis
Letter to the editor
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Gabor frames for rational functions. Inventiones Mathematicae
Academic article
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Correction to:Gabor frames for rational functions (Inventiones mathematicae, (2022), 10.1007/s00222-022-01151-8). Inventiones Mathematicae
Errata
Iosevich, Alex; Kolountzakis, Mihalis; Lyubarskii, Yurii; Mayeli, Azita; Pakianathan, Jonathan. (2020) On Gabor orthonormal bases over finite prime fields. Bulletin of the London Mathematical Society
Academic article
Gröchenig, Karlheinz; Lyubarskii, Yurii. (2019) Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames. Complex Variables and Elliptic Equations
Academic article
Jaming, Philippe; Lyubarskii, Yurii; Malinnikova, Eugenia; Perfekt, Karl-Mikael. (2018) Uniqueness for discrete Schrodinger evolutions. Revista matemática iberoamericana
Academic article
Aleman, Alexandru; Lyubarskii, Yurii; Malinnikova, Eugenia; Perfekt, Karl-Mikael. (2015) Trace ideal criteria for embeddings and composition operators on model spaces. Journal of Functional Analysis
Academic article
Belov, Yurii; Lyubarskii, Yurii. (2015) On Summation of Nonharmonic Fourier Series. Constructive approximation
Academic article
Lyubarskii, Yurii; Ortega-Cerda, Joaquim. (2014) Bandlimited Lipschitz functions. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics
Academic article
Lyubarskii, Yurii; Malinnikova, Eugenia. (2012) Radial oscillation of harmonic functions in the Korenblum class. Bulletin of the London Mathematical Society
Academic article
Borichev, Alexander; Lyubarskii, Yurii; Malinnikova, Eugenia; Thomas, Pascal. (2010) Radial growth of functions in the Korenblum space. St. Petersburg Mathematical Journal
Academic article
Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory
Academic article
Borichev, A; Grochenig, K; Lyubarskii, Yurii. (2010) Frame constants of Gabor frames near the critical density. Journal des Mathématiques Pures et Appliquées
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2010) RIESZ BASES OF REPRODUCING KERNELS IN FOCK-TYPE SPACES. Journal of the Institute of Mathematics of Jussieu
Academic article
Grochenig, K; Lyubarskii, Yurii. (2009) Gabor (super)frames with Hermite functions. Mathematische Annalen
Academic article
Ascensi, Gerard; Lyubarskii, Yurii; Seip, Kristian. (2009) Phase space distribution of Gabor expansions. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Bloom, Thomas; Levenberg, Norman. (2008) A Hilbert Lemniscate Theorem in ℂ 2. Annales de l'Institut Fourier
Academic article
Lyubarskii, Yurii; Madych, WR. (2008) Irregular Poisson Type Summation. Sampling Theory in Signal and Image Processing
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse Mathematique
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications
Academic article
Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique
Academic article
Lyubarskii, Yurii; Madych, WR. (2005) Interpolation of functions from generalized Paley-Wiener spaces. Journal of Approximation Theory
Academic article
Seip, Kristian; Lyubarskii, Yurii. (2002) Weighted Paley-Wiener spaces. Journal of The American Mathematical Society
Academic article
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics
Academic article
Lyubarskii, Yurii. (2001) On approximation of subharmonic functions. Journal d'Analyse Mathematique
Academic article
Lyubarskii, Yurii; Rashkovskii, Alexander. (2000) Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons. Arkiv för matematik
Academic article
Flornes, Kristin; Lyubarskii, Yurii; Seip, Kristian. (1999) A direct interpolation method for irregular sampling. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1999) Convergence and summability of Gabor expansions at the Nyquist density. Journal of Fourier Analysis and Applications
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1997) Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition. Revista matemática iberoamericana
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1997) Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets. Journal of Fourier Analysis and Applications
Academic article

Books

Gesztesy, Fritz; Hanche-Olsen, Harald; Jakobsen, Espen Robstad; Lyubarskii, Yurii; Risebro, Nils Henrik; Seip, Kristian. (2018) Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Press European Mathematical Society (EMS) Press
Academic anthology/Conference proceedings

Part of book/report

Lyubarskii, Yurii; Malinnikova, Eugenia. (2013) Composition operators on model spaces.
Academic chapter/article/Conference paper

Report

Lyubarskii, Yurii; Seip, Kristian. (2001) A splitting problem for unconditional bases of complex exponentials. Israel mathematical conference proceedings. (15)
Report

Knowledge Transfer