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Språkvelger

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Yurii Lyubarskii

Yurii Lyubarskii

Professor emeritus

yurii.lyubarskii@ntnu.no
+4773593526 +4791647362 Sentralbygg 2, Gløshaugen, Alfred Getz vei 1
About Publications Media

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

  • Chronological
  • By category
  • See all publications in Cristin

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 lecture
    Lyubarskii, Yurii. (2013) Complex methods in Gabor Analysis. New Trends in Applied Harmonic Analysis ; 2013-08-05 - 2013-08-16.
  • Academic lecture
    Lyubarskii, Yurii. (2013) Composition operators in model spaces. Lecture ; 2013-08-26 - 2013-08-30.
  • Academic lecture
    Lyubarskii, Yurii. (2013) Composition operators in model spaces. Harmonic Analysis Days in Marseille . ANR FRAB, CAS Oslo; Marseille. 2013-03-25 - 2013-03-26.
  • Academic lecture
    Lyubarskii, Yurii. (2013) Gabor frames and complex analysis. Structured families of functions ; Oberwolfach. 2013-02-25 - 2013-03-01.

2010

  • Academic lecture
    Lyubarskii, Yurii. (2010) Time-Frequency analysis meets Complex Analysis. NILS meeting, 2010 . University of Madrid; Madrid. 2010-01-21 - 2010-01-22.

2009

  • Academic lecture
    Lyubarskii, Yurii. (2009) Gabor frames in complex analysis. Foredrag . University of Marseille; Marseille. 2009-05-18 - 2009-05-22.
  • Academic lecture
    Lyubarskii, 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 lecture
    Lyubarskii, 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 lecture
    Lyubarskii, Yurii. (2008) Gabor superframes from Hermite functions. Journee d'Analyse . Universitet de Lille; Lille. 2008-04-02 - 2008-04-04.
  • Academic lecture
    Lyubarskii, Yurii. (2008) Quantization methods in signal transmission. Seminar . Depart. of Math. Univ. of Provence; Marseille. 2008-04-19 - 2008-04-19.
  • Academic lecture
    Lyubarskii, 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 lecture
    Lyubarskii, Yurii. (2007) Direct and inverse problem for multichannel scatterin. Konferanseforedrag . UiB, NTNU; Voss. 2007-05-07 - 2007-05-13.
  • Academic lecture
    Lyubarskii, Yurii. (2007) Gabor frames from Hermite functions. konferanseforedrag . Universitet i Wien; Stroble. 2007-06-07 - 2007-06-13.
  • Academic lecture
    Lyubarskii, Yurii. (2007) Gabor frames in L^2. seminarforedrag . Universitet de Provence; Marseille. 2007-12-21 - 2007-12-21.

2005

  • Academic lecture
    Lyubarskii, Yurii. (2005) Reconstruction of functions from the general Paley-Wiener spaces. Sampling Theory and Applications, 2005 ; 2005-07-10 - 2005-07-15.
  • Academic lecture
    Lyubarskii, 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.
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