Должность
профессор
Кафедра
Оценка в целом
Компетентность и знание материала
Выполнение обещаний
Степень занудства
Жажда к выносам
Мера требовательности
Последовательность, логичность, понятность
Понимающий, как человек
Возможность списать
Степень адекватности
Требование к посещаемости
Интересность пар
Степень сложности сдачи экзамена (зачета)
Статус работника
Скопина Мария Александровна
Доктор физико-математических наук, профессор кафедры высшей математики
Комн. 252
E-mail: m.skopina@spbu.ru
‣
Преподавательская деятельность
Математический анализ (общий курс)
Теория приближений, базисы всплесков (wavelets), ряды Фурье (специальные курсы)
‣
Области научных интересов
Теория всплесков, гармонический анализ, теория приближений функций
‣
Основные публикации
- P.Andrianov and M. Skopina On construction of periodic wavelet frames, Eur. J. Math. 5 (2019), no. 1, 241–249.
- E.J. King and M.A. Skopina, On biorthogonal p-adic wavelet, J. Math. Sci., 234 (2018), no 2, 158-169
- A. Krivoshein, Yu.Kolomoitsev and M.Skopina, Differential and falsified sampling expansions, J. Fourier Anal. Appl. 24 (2018), no 5, 1276—1305.
- Yu.Kolomoitsev and M.Skopina, Approximation by multivariate Kantorovich–Kotelnikov operators, J. Math.Anal.Appl., 456 (2017), 195–213.
- M. Skopina, On construction of multivariate Parseval wavelet frames, Applied Mathematics and Computation, 301 (2017), 1-11.
- A.Krivoshein, V. Protasov and M. Skopina, Multivariate wavelet frames, Springer, 2016. 248 pp.
- P. Andrianov and M. Skopina, On Jackson-type inequalities associated with separable Haar wavelets, P.Andrianov and M. Skopina On construction of periodic wavelet frames, Eur. J. Math. 5 (2019), no. 1, 241–249.
- E.J. King and M.A. Skopina, On biorthogonal p-adic wavelet, J. Math. Sci., 234 (2018), no 2, 158-169
- A. Krivoshein, Yu.Kolomoitsev and M.Skopina, Differential and falsified sampling expansions, J. Fourier Anal. Appl. 24 (2018), no 5, 1276—1305.
- Yu.Kolomoitsev and M.Skopina Approximation by multivariate Kantorovich–Kotelnikov operators J. Math.Anal.Appl., 456 (2017), 195–213.
- M. Skopina, On construction of multivariate Parseval wavelet frames, Applied Mathematics and Computation, 301 (2017), 1-11.
- A.Krivoshein, V. Protasov and M. Skopina, Multivariate wavelet frames, Springer, 2016. 248 pp.
- P. Andrianov and M. Skopina, On Jackson-type inequalities associated with separable Haar wavelets, Int. J. Wavelets Multiresolut. Inf. Process., 14 (2016), no.3.
- Y. Farkov, E. Lebedeva and M. Skopina, Wavelet frames on Vilenkin groups and their approximation properties, Int. J. Wavelets Multiresolut. Inf. Process., 13 (2015), no.5
- E. Lebedeva and M. Skopina, Walsh and wavelet methods for differential equations on the Cantor group. J. Math. Anal. Appl. 430 (2015), no 2, 593-613.
- S. Evdokimov and M. Skopina, On orthogonal p-adic wavelet bases, J. Math. Anal. Appl., 424 (2015), N 2, 952-965.
- M. Skopina, Band-limited scaling and wavelet expansions, Appl. Comput. Harmon. Anal. 36 (2014), no 1, 143–157.
- Nira Dyn and Maria Skopina, Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes, Advances in Computational Mathematics, 38 (2013), no 2, 321-349.
- S. Albeverio and M.Skopina, Haar bases for L_2(Q_2^2) generated by one wavelet function, Int. J. Wavelets Multiresolut. Inf. Process., 10 (2012), no.5, DOI: 10.1142/S0219691315500368
- I.Ya. Novikov and M.A. Skopina, Why are Haar bases in various structures are the same? Mathematical Notes 91 (2012), 5, 895-898.
- A. Krivoshein, M. Skopina, Approximation by frame-like wavelet systems, Appl. Comput. Harmon. Anal. 31 (2011), no 3, 410-428
- Y. Farkov, E. Lebedeva and M. Skopina, Wavelet frames on Vilenkin groups and their approximation properties, Int. J. Wavelets Multiresolut. Inf. Process., 13 (2015), no.5,
- E. Lebedeva and M. Skopina, Walsh and wavelet methods for differential equations on the Cantor group. J. Math. Anal. Appl. 430 (2015), no 2, 593-613.
- S. Evdokimov and M. Skopina, On orthogonal p-adic wavelet bases, J. Math. Anal. Appl., 424 (2015), N 2, 952-965.
- M. Skopina, Band-limited scaling and wavelet expansions, Appl. Comput. Harmon. Anal. 36 (2014), no 1, 143–157.
- Nira Dyn and Maria Skopina, Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes, Advances in Computational Mathematics, 38 (2013), no 2, 321-349.
- S. Albeverio and M.Skopina, Haar bases for L_2(Q_2^2) generated by one wavelet function, Int. J. Wavelets Multiresolut. Inf. Process., 10 (2012), no.5,
- I.Ya. Novikov and M.A. Skopina, Why are Haar bases in various structures are the same? Mathematical Notes 91 (2012), 5, 895-898.
- A. Krivoshein, M. Skopina, Approximation by frame-like wavelet systems, Appl. Comput. Harmon. Anal. 31 (2011), no 3, 410-428
- Novikov I.Ya., Protasov V.Yu., Skopina M.A. Wavelet Theory. AMS, Translations Mathematical Monographs, V. 239 (2011). 506 pp.
- Albeverio, S., Evdokimov, S. and Skopina, M., p-adic multiresolution analysis and wavelet frames. J. Fourier Anal. Appl. 16 (2010), no. 5, 693–714.
- King E.J. and Skopina M.A,, Quincunx multiresolution analysis for $L^2(Q^2_2)$, P-Adic Numbers Ultrametric Anal. Appl., 2 (2010), no. 3, 222--231.