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) Correction to:Gabor frames for rational functions (Inventiones mathematicae, (2022), 10.1007/s00222-022-01151-8). Inventiones Mathematicae
Errata
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

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) Publishing House European Mathematical Society (EMS) Publishing House
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; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics
Academic article
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis
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

Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory
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
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

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

Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse 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 approximation of subharmonic functions. Journal d'Analyse Mathematique
Academic article
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics
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) Correction to:Gabor frames for rational functions (Inventiones mathematicae, (2022), 10.1007/s00222-022-01151-8). Inventiones Mathematicae
Errata
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
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; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics
Academic article
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis
Academic article
Lyubarskii, Yurii; Malinnikova, Eugenia. (2012) Radial oscillation of harmonic functions in the Korenblum class. Bulletin of the London Mathematical Society
Academic article
Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory
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
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
Ascensi, Gerard; Lyubarskii, Yurii; Seip, Kristian. (2009) Phase space distribution of Gabor expansions. Applied and Computational Harmonic Analysis
Academic article
Grochenig, K; Lyubarskii, Yurii. (2009) Gabor (super)frames with Hermite functions. Mathematische Annalen
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
Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse 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 approximation of subharmonic functions. Journal d'Analyse Mathematique
Academic article
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics
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) Publishing House European Mathematical Society (EMS) Publishing House
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

Media