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

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) Gabor frames for rational functions. Inventiones Mathematicae.
Academic article
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Irregular Gabor frames of Cauchy kernels. Applied and Computational Harmonic Analysis. volum 57.
Letter to the editor

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

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. 2018. ISBN 978-3-03719-186-6.
Academic anthology/Conference proceedings
Jaming, Philippe; Lyubarskii, Yurii; Malinnikova, Eugenia; Perfekt, Karl-Mikael. (2018) Uniqueness for discrete Schrodinger evolutions. Revista matemática iberoamericana. volum 34 (3).
Academic article

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. volum 37 (2).
Academic article

2013

Lyubarskii, Yurii; Malinnikova, Eugenia. (2013) Composition operators on model spaces. Recent Trends in Analysis.
Academic chapter/article/Conference paper
Lyubarskii, Yurii; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics. volum 87.
Academic article
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis. volum 34 (3).
Academic article

2012

Lyubarskii, Yurii; Malinnikova, Eugenia. (2012) Radial oscillation of harmonic functions in the Korenblum class. Bulletin of the London Mathematical Society. volum 44 (1).
Academic article

2010

Borichev, A; Grochenig, K; Lyubarskii, Yurii. (2010) Frame constants of Gabor frames near the critical density. Journal des Mathématiques Pures et Appliquées. volum 94 (2).
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2010) RIESZ BASES OF REPRODUCING KERNELS IN FOCK-TYPE SPACES. Journal of the Institute of Mathematics of Jussieu. volum 9 (3).
Academic article
Borichev, Alexander; Lyubarskii, Yurii; Malinnikova, Eugenia; Thomas, Pascal. (2010) Radial growth of functions in the Korenblum space. St. Petersburg Mathematical Journal. volum 21 (6).
Academic article
Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory. volum 56 (7).
Academic article

2009

Ascensi, Gerard; Lyubarskii, Yurii; Seip, Kristian. (2009) Phase space distribution of Gabor expansions. Applied and Computational Harmonic Analysis. volum 26 (2).
Academic article
Grochenig, K; Lyubarskii, Yurii. (2009) Gabor (super)frames with Hermite functions. Mathematische Annalen. volum 345 (2).
Academic article

2008

Lyubarskii, Yurii; Bloom, Thomas; Levenberg, Norman. (2008) A Hilbert Lemniscate Theorem in ℂ 2. Annales de l'Institut Fourier. volum 58 (6).
Academic article
Lyubarskii, Yurii; Madych, WR. (2008) Irregular Poisson Type Summation. Sampling Theory in Signal and Image Processing. volum 7.
Academic article

2007

Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse Mathematique. volum 103 (1).
Academic article
Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique. volum 344.
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications. volum 41.
Academic article

2005

Lyubarskii, Yurii; Madych, WR. (2005) Interpolation of functions from generalized Paley-Wiener spaces. Journal of Approximation Theory. volum 133.
Academic article

2002

Seip, Kristian; Lyubarskii, Yurii. (2002) Weighted Paley-Wiener spaces. Journal of The American Mathematical Society. volum 15 (4).
Academic article

2001

Lyubarskii, Yurii. (2001) On approximation of subharmonic functions. Journal d'Analyse Mathematique. volum 83.
Academic article
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics. volum 42 (8).
Academic article
Lyubarskii, Yurii; Seip, Kristian. (2001) A splitting problem for unconditional bases of complex exponentials. 2001. Israel mathematical conference proceedings. (15).
Report

2000

Lyubarskii, Yurii; Rashkovskii, Alexander. (2000) Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons. Arkiv för matematik. volum 38 (1).
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. volum 5 (2/3).
Academic article

1997

Lyubarskii, Yurii; Seip, Kristian. (1997) Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition. Revista matemática iberoamericana. volum 13 (2).
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. volum 13 (5).
Academic article

Journal publications

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) Gabor frames for rational functions. Inventiones Mathematicae.
Academic article
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii. (2022) Irregular Gabor frames of Cauchy kernels. Applied and Computational Harmonic Analysis. volum 57.
Letter to the editor
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. volum 34 (3).
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. volum 37 (2).
Academic article
Lyubarskii, Yurii; Marchenko, Vladimir. (2013) Inverse problem for small oscillations. Proceedings of Symposia in Pure Mathematics. volum 87.
Academic article
Lyubarskii, Yurii; Nes, Preben Gråberg. (2013) Gabor frames with rational density. Applied and Computational Harmonic Analysis. volum 34 (3).
Academic article
Lyubarskii, Yurii; Malinnikova, Eugenia. (2012) Radial oscillation of harmonic functions in the Korenblum class. Bulletin of the London Mathematical Society. volum 44 (1).
Academic article
Borichev, A; Grochenig, K; Lyubarskii, Yurii. (2010) Frame constants of Gabor frames near the critical density. Journal des Mathématiques Pures et Appliquées. volum 94 (2).
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2010) RIESZ BASES OF REPRODUCING KERNELS IN FOCK-TYPE SPACES. Journal of the Institute of Mathematics of Jussieu. volum 9 (3).
Academic article
Borichev, Alexander; Lyubarskii, Yurii; Malinnikova, Eugenia; Thomas, Pascal. (2010) Radial growth of functions in the Korenblum space. St. Petersburg Mathematical Journal. volum 21 (6).
Academic article
Lyubarskii, Yurii; Vershynin, R. (2010) Uncertainty Principles and Vector Quantization. IEEE Transactions on Information Theory. volum 56 (7).
Academic article
Ascensi, Gerard; Lyubarskii, Yurii; Seip, Kristian. (2009) Phase space distribution of Gabor expansions. Applied and Computational Harmonic Analysis. volum 26 (2).
Academic article
Grochenig, K; Lyubarskii, Yurii. (2009) Gabor (super)frames with Hermite functions. Mathematische Annalen. volum 345 (2).
Academic article
Lyubarskii, Yurii; Bloom, Thomas; Levenberg, Norman. (2008) A Hilbert Lemniscate Theorem in ℂ 2. Annales de l'Institut Fourier. volum 58 (6).
Academic article
Lyubarskii, Yurii; Madych, WR. (2008) Irregular Poisson Type Summation. Sampling Theory in Signal and Image Processing. volum 7.
Academic article
Borichev, Alexander; Lyubarskii, Yurii. (2007) Uniqueness theorems for Korenblum type spaces. Journal d'Analyse Mathematique. volum 103 (1).
Academic article
Grochenig, K; Lyubarskii, Yurii. (2007) Gabor frames with Hermite functions. Comptes rendus. Mathematique. volum 344.
Academic article
Lyubarskii, Yurii; Marchenko, VA. (2007) Direct and inverse multichannel scattering problems. Functional analysis and its applications. volum 41.
Academic article
Lyubarskii, Yurii; Madych, WR. (2005) Interpolation of functions from generalized Paley-Wiener spaces. Journal of Approximation Theory. volum 133.
Academic article
Seip, Kristian; Lyubarskii, Yurii. (2002) Weighted Paley-Wiener spaces. Journal of The American Mathematical Society. volum 15 (4).
Academic article
Lyubarskii, Yurii. (2001) On approximation of subharmonic functions. Journal d'Analyse Mathematique. volum 83.
Academic article
Lyubarskii, Yurii. (2001) On completeness of random exponentials in the Bargmann-Fock space. Journal of Mathematical Physics. volum 42 (8).
Academic article
Lyubarskii, Yurii; Rashkovskii, Alexander. (2000) Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons. Arkiv för matematik. volum 38 (1).
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. volum 5 (2/3).
Academic article
Lyubarskii, Yurii; Seip, Kristian. (1997) Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition. Revista matemática iberoamericana. volum 13 (2).
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. volum 13 (5).
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. 2018. ISBN 978-3-03719-186-6.
Academic anthology/Conference proceedings

Part of book/report

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

Report

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

Media