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
2013
-
Academic lectureLyubarskii, Yurii. (2013) Complex methods in Gabor Analysis. New Trends in Applied Harmonic Analysis ; 2013-08-05 - 2013-08-16.
-
Academic lectureLyubarskii, Yurii. (2013) Composition operators in model spaces. Lecture ; 2013-08-26 - 2013-08-30.
-
Academic lectureLyubarskii, Yurii. (2013) Composition operators in model spaces. Harmonic Analysis Days in Marseille . ANR FRAB, CAS Oslo; Marseille. 2013-03-25 - 2013-03-26.
-
Academic lectureLyubarskii, Yurii. (2013) Gabor frames and complex analysis. Structured families of functions ; Oberwolfach. 2013-02-25 - 2013-03-01.
2010
-
Academic lectureLyubarskii, Yurii. (2010) Time-Frequency analysis meets Complex Analysis. NILS meeting, 2010 . University of Madrid; Madrid. 2010-01-21 - 2010-01-22.
2009
-
Academic lectureLyubarskii, Yurii. (2009) Gabor frames in complex analysis. Foredrag . University of Marseille; Marseille. 2009-05-18 - 2009-05-22.
-
Academic lectureLyubarskii, Yurii. (2009) Riesz basis in the Fock-type spaces. Operator Theory and its Applications . International Center for Mathematical Sciences; Edinburgh. 2009-09-07 - 2009-09-11.
-
Academic lectureLyubarskii, Yurii. (2009) Time-frequency Analysis Meets Complex Analysis. February Fourier Talks . Norbert Wiener Center, University of Maryland; College park, Maryland. 2009-02-19 - 2009-02-20.
2008
-
Academic lectureLyubarskii, Yurii. (2008) Gabor superframes from Hermite functions. Journee d'Analyse . Universitet de Lille; Lille. 2008-04-02 - 2008-04-04.
-
Academic lectureLyubarskii, Yurii. (2008) Quantization methods in signal transmission. Seminar . Depart. of Math. Univ. of Provence; Marseille. 2008-04-19 - 2008-04-19.
-
Academic lectureLyubarskii, Yurii. (2008) Sampling near critical density. Hilbert Spaces of Analytic Functions . CRMI, University de Motreal, Canada; Montreal. 2008-12-08 - 2008-12-12.
2007
-
Academic lectureLyubarskii, Yurii. (2007) Direct and inverse problem for multichannel scatterin. Konferanseforedrag . UiB, NTNU; Voss. 2007-05-07 - 2007-05-13.
-
Academic lectureLyubarskii, Yurii. (2007) Gabor frames from Hermite functions. konferanseforedrag . Universitet i Wien; Stroble. 2007-06-07 - 2007-06-13.
-
Academic lectureLyubarskii, Yurii. (2007) Gabor frames in L^2. seminarforedrag . Universitet de Provence; Marseille. 2007-12-21 - 2007-12-21.
2005
-
Academic lectureLyubarskii, Yurii. (2005) Reconstruction of functions from the general Paley-Wiener spaces. Sampling Theory and Applications, 2005 ; 2005-07-10 - 2005-07-15.
-
Academic lectureLyubarskii, Yurii. (2005) Uniqueness theorems for analytic functions in the disk. 125 Riesz and Fejer aniversary . Institut of mathematics, Hungary; Boljai society.; Eger. 2005-06-08 - 2005-06-14.