Vladimir Lebedev
- Professor:HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE) / School of Applied Mathematics
- Vladimir Lebedev has been at HSE University since 2012.
Education, Degrees and Academic Titles
- 2013
Doctor of Sciences* in Real, Complex and Functional Analysis
Steklov Mathematical Institute of the Russian Academy of Sciences
Thesis Title: Superposition operators on certain spaces arising in harmonic analysis - 2012Associate Professor
- 1990
Candidate of Sciences* (PhD) in Real, Complex and Functional Analysis
Moscow Institute of Electronic Engineering
Thesis Title: Changes of variables, Fourier series and smoothness of functions - 1985
Degree in Applied Mathematics
Moscow Institute of Electronic Engineering, Applied Mathematics
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2023/2024)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 1, 2 module)Rus
Courses (2021/2022)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 3, 4 module)Rus
Courses (2020/2021)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 1, 2 module)Rus
Courses (2019/2020)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 3, 4 module)Rus
Courses (2018/2019)
- Applications of the Theory of Operators and Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 1, 2 module)Rus
Courses (2017/2018)
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1 module)Rus
- Functional Analysis (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 3, 4 module)Rus
- Functional Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 3, 4 module)Rus
Publications37
- Article Lebedev V. On extension to Fourier transforms // Journal of Mathematical Analysis and Applications. 2023. Vol. 528. No. 1. Article 127508. doi
- Preprint Lebedev V. On extension to Fourier transforms / Cornell University. Series math "arxiv.org". 2023. No. arXiv:2110.07092v5.
- Article Vladimir Lebedev. Tame semicascades and cascades generated by affine self-mappings of the d -torus // Proceedings of the American Mathematical Society. 2021. Vol. 149. No. 11. P. 4739-4742. doi
- Article Lebedev V., Olevskii A. Homeomorphic Changes of Variable and Fourier Multipliers // Journal of Mathematical Analysis and Applications. 2020. Vol. 481. No. 2. Article 123502. doi
- Preprint Lebedev V., Olevskii A. Homeomorphic Changes of Variable and Fourier Multipliers / Cornell University. Series math "arxiv.org". 2019. No. arXiv:1803.02177v2.
- Article Vladimir Lebedev. Quantitative aspects of the Beurling--Helson theorem: Phase functions of a special form // Studia Mathematica. 2019. Vol. 247. No. 3. P. 273-283. doi
- Article V. Lebedev. Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings // Analysis Mathematica. 2018. Vol. 44. No. 3. P. 369-380. doi
- Preprint V. Lebedev. Sets with distinct sums of pairs, long arithmetic progressions, and continuous mappings / Cornell University. Series math "arxiv.org". 2018. No. arXiv:1805.02254v2.
- Preprint Vladimir Lebedev. Tame semicascades and cascades generated by affine self-mappings of the d -torus / Cornell University. Series math "arxiv.org". 2018. No. arXiv:1806.06386v2.
- Article V. V. Lebedev. Uniformly convergent Fourier series and multiplication of functions / Пер. с рус. // Proceedings of the Steklov Institute of Mathematics. 2018. Vol. 303. P. 171-177. doi
- Preprint V. V. Lebedev. Uniformly convergent Fourier series and multiplication of functions / Cornell University. Series math "arxiv.org". 2018. No. arXiv:1807.03949v1.
- Article V. V. Lebedev. A short and simple proof of the Jurkat–Waterman theorem on conjugate functions / Пер. с рус. // Functional Analysis and Its Applications. 2017. Vol. 51. No. 2. P. 148-151. doi
- Preprint Vladimir Lebedev. Quantitative aspects of the Beurling--Helson theorem: Phase functions of a special form / Cornell University. Series math "arxiv.org". 2017. No. arXiv:1611.01739v4.
- Preprint V. V. Lebedev. A short and simple proof of the Jurkat--Waterman theorem on conjugate functions / Cornell University. Series math "arxiv.org". 2016. No. 1603.04539.
- Preprint Vladimir Lebedev. Change of variable and the rapidity of decrease of Fourier coefficients / Cornell University. Series math "arxiv.org". 2015. No. 1508.06673.
- Article Vladimir Lebedev. The Bohr--Pal Theorem and the Sobolev Space W_2^{1/2} // Studia Mathematica. 2015. Vol. 231. No. 1. P. 73-81. doi
- Preprint Vladimir Lebedev. The Bohr--Pal Theorem and the Sobolev Space W_2^{1/2} / Cornell University. Series math "arxiv.org". 2015. No. 1508.07167.
- Article V. V. Lebedev. On lp -multipliers of functions analytic in the disk / Пер. с рус.: V. V. Lebedev. // Functional Analysis and Its Applications. 2014. Vol. 48. No. 3. P. 231-234. doi
- Article Vladimir Lebedev. Thickness conditions and Littlewood--Paley sets // Studia Mathematica. 2014. Vol. 220. No. 3. P. 265-276. doi
- Article В. В. Лебедев Об lp -мультипликаторах функций, аналитических в круге // Функциональный анализ и его приложения. 2014. Т. 48. № 3. С. 92-96. doi
- Preprint Vladimir Lebedev. On lp -multipliers of functions analytic in the disk / Cornell University. Series math "arxiv.org". 2013. No. 1303.5384v2.
- Article V. V. Lebedev. On the Fourier transform of the characteristic functions of domains with C1 -boundary / Пер. с рус.: V. V. Lebedev. // Functional Analysis and Its Applications. 2013. Vol. 47. No. 1. P. 27-37. doi
- Preprint Vladimir Lebedev. Thickness conditions and Littlewood--Paley sets / Cornell University. Series math "arxiv.org". 2013. No. 1304.4695v2 .
- Article В. В. Лебедев О преобразовании Фурье характеристических функций областей с С1 -гладкой границей // Функциональный анализ и его приложения. 2013. Т. 47. № 1. С. 33-46. doi
- Article V. V. Lebedev. Absolutely Convergent Fourier Series. An Improvement of the Beurling-Helson Theorem / Пер. с рус. // Functional Analysis and Its Applications. 2012. Vol. 46. No. 2. P. 121-132. doi
- Article V. V. Lebedev. On L2 -functions with bounded spectrum / Пер. с рус.: V. V. Lebedev. // Sbornik Mathematics. 2012. Vol. 203. No. 11. P. 1647-1653. doi
- Article V. V. Lebedev. On Uniform Convergence of Fourier Series / Пер. с рус. // Mathematical notes. 2012. Vol. 91. No. 6. P. 889-892. doi
- Article В. В. Лебедев Абсолютно сходящиеся ряды Фурье. Усиление теоремы Берлинга-Хелсона // Функциональный анализ и его приложения. 2012. Т. 46. № 2. С. 52-65. doi
- Article В. В. Лебедев О равномерной сходимости рядов Фурье // Математические заметки. 2012. Т. 91. № 6. С. 946-949. doi
- Article В. В. Лебедев О функциях из L2 с ограниченным спектром // Математический сборник. 2012. Т. 203. № 11. С. 121-128. doi
- Preprint Vladimir Lebedev. Absolutely convergent Fourier series. An improvement of the Beurling-Helson theorem / Cornell University. Series math "arxiv.org". 2011. No. 1112.4892v1.
- Article V. V. Lebedev. Estimates in Beurling-Helson Type Theorems: Multidimensional case / Пер. с рус. // Mathematical notes. 2011. Vol. 90. No. 3. P. 373-384. doi
- Article В. В. Лебедев Оценки в теоремах типа теоремы Берлинга-Хелсона. Многомерный случай // Математические заметки. 2011. Т. 90. № 3. С. 394-407. doi
- Article V. V. Lededev. On the topological stability of continuous functions in certain spaces related to Fourier series / Пер. с рус. // Izvestiya. Mathematics. 2010. Vol. 74. No. 2. P. 347-378. doi
- Article V. V. Lebedev. Quantitative estimates in Beurling-Helson type theorems / Пер. с рус. // Sbornik Mathematics. 2010. Vol. 201. No. 12. P. 1811-1836. doi
- Article В. В. Лебедев Количественные оценки в теоремах типа теоремы Берлинга-Хелсона // Математический сборник. 2010. Т. 201. № 12. С. 103-130. doi
- Article В. В. Лебедев О топологической устойчивости непрерывных функций в некоторых пространствах, связанных с рядами Фурье // Известия РАН. Серия математическая. 2010. Т. 74. № 2. С. 131-164. doi
Complete list of publications, conference presentations and grants
Complete list of publications, conference presentations and grants can be found in my CV
Research Grants
2019 - 2020 HSE Academic Fund Programm, grant No. 19-01-008
Employment history
Mar 2015 - present
Professor
School of Applied Mathematics, MIEM HSE
Jul 2012 - Mar 2015
Associate Prof.
Dept. of Higher Mathematics, MIEM HSE
Dec 1992 - Aug 1993 and Feb 1995 -- Jul 2012
Associate Prof.
Dept. of Mathematical Analysis, MIEM
Feb 1990 - Dec 1992
Assistant Prof.
Dept. of Algebra and Analysis, MIEM
LONG TERM VISITING POSITIONS :
Aug 1999 - May 2000
Visiting Associate Professor,
School of Mathematics, Georgia Institute of Technology (Georgia Tech)
Atlanta, USA
Feb 1999 - Aug 1999
Research Fellow
Institute of Mathematics, Polish Academy of Sciences (IMPAN)
Warsaw, Poland
Oct 1992 - Sep 1994
Postdoctoral Fellow
School of Mathematical Sciences, Tel Aviv University
Tel Aviv, Israel