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Research Output 1991 2019

2019
Dual Frame
Wavelet Frames
Periodic Functions
Generating Function
Corollary
Projection Operator
Mathematical operators
Strings
Tempered Distribution
Differential-difference Equations
2018
5 Citations (Scopus)

Differential and Falsified Sampling Expansions

Kolomoitsev, Y., Krivoshein, A. & Skopina, M., Oct 2018, In : Journal of Fourier Analysis and Applications. 24, 5, p. 1276-1305 30 p.

Research output

Sampling
Fourier transform
Fourier transforms
Order of Approximation
Band-limited Functions

On Biorthogonal p-Adic Wavelet Bases

King, E. J. & Skopina, M. A., 1 Oct 2018, In : Journal of Mathematical Sciences (United States). 234, 2, p. 158-169 12 p.

Research output

Wavelet Bases
P-adic
Multiresolution
Biorthogonal Wavelets
Scaling Function
2017
7 Citations (Scopus)

Around Kotelnikov-Shannon formula

Kolomoitsev, Y. & Skopina, M., 1 Sep 2017, 2017 12th International Conference on Sampling Theory and Applications, SampTA 2017. Anbarjafari, G., Kivinukk, A. & Tamberg, G. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 279-282 4 p. 8024385

Research outputpeer-review

Lp-norm
Error Estimation
Error analysis
Modulus of Smoothness
Approximation Property
9 Citations (Scopus)

Multivariate sampling-type approximation

Krivoshein, A. & Skopina, M., 1 Jul 2017, In : Analysis and Applications. 15, 4, p. 521-542 22 p.

Research output

Sampling
Approximation
Linear Differential Operator
Approximation Order
Lp-norm
2 Citations (Scopus)
Parseval Frame
Wavelet Frames
Wavelets
Approximation Order
Dilation

Multivariate Wavelet Frames

Krivoshein, A., Skopina, M. & Protasov, V., 2016, Springer. 248 p. (Industrial and Applied Mathematics)

Research outputpeer-review

Valentin Anatol'evich Skvortsov (on his 80th birthday)

Golubov, BI., Kashin, BS., Lukashenko, TP., Plotnikov, MG., Skopina, MA., Solodov, AP., Stepin, AM. & Kholshchevnikova, NN., 2016

Research output

Памяти Виктора Петровича Хавина

Бабич, В. М., Вершик, А. М., Горин, Е. А., Гурарий, В. П., Ибрагимов, И. А., Мазья, В. Г., Макаров, Б. М., Самокиш, Б. А., Соломяк, М. З., Никольский, Н. К., Кисляков, С. В., Леонов, Г. А., Матиясевич, Ю. В., Разов, А. И., Абакумов, Е. В., Аграновский, М. Л., Айзенберг, Л. А., Александров, А. Б., Амосов, Г. Г., Баранов, А. Д. & 61 others, Белов, Ю. С., Биндер, И. А., Боричев, А. А., Вавилов, Н. А., Васюнин, В. И., Виденский, И. В., Виноградов, О. Л., Вольберг, А. Л., Глускин, Е. Д., Додонов, Н. Ю., Дубашинский, М. Б., Дубова, Т. П., Дьяконов, К. М., Евдокимова, Т. О., Жук, В. В., Изъюров, К. А., Капустин, В. В., Китовер, А. К., Коточигов, А. М., Логунов, А. А., Лодкин, А. А., Любарский, Ю. И., Макаров, Н. Г., Маламуд, М. М., Малинникова, Е. В., Мельцер, М. М., Мильман, В. Д., Мозоляко, П. А., Назаров, А. И., Назаров, Ф. Л., Никитин, Я. Ю., Олевский, А. М., Пеллер, В. В., Петров, А. Н., Плоткин, А. И., Подкорытов, А. Н., Полторацкий, А. Г., Рейнов, О. И., Розенблюм, Г. В., Рукшин, С. Е., Рябов, В. М., Савельева, А. Г., Семенова, О. Л., Скопина, М. А., Смирнов, С. К., Содин, М. Л., Треиль, С. Р., Улановский, А. М., Фаворов, С. Ю., Федоровский, К. Ю., Флоринский, А. А., Хабибуллин, Б. Н., Храбров, А. И., Цилевич, Н. В., Челкак, Д. С., Шамоян, Ф. А., Шиморин, С. М., Широков, Н. А., Эйдерман, В. Я., Яковлев, А. В. & Якубович, Д. В., 2016, ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, 3, 1, p. 173-177 5 p.

Research output

2015
7 Citations (Scopus)
9 Citations (Scopus)
2014

Approximation by Band-limited Scaling and Wavelet Expansions, Proceedings of International Conferences

Skopina, M., 2014, Proceedings of International Conferences CONSTUCTIVE THEORY OF FUNCTIONS, Sozopol 2013, dedicated to Blagovest Sendov and to the memory of Vasil Popov. Prof. Marin Drinov Academic Publishing House, p. 235-251

Research output

9 Citations (Scopus)
4 Citations (Scopus)
P-adic
Wavelets
Orthogonal Basis
Wavelet Bases
Concepts
4 Citations (Scopus)

Why are Haar bases in various structures the same?

Novikov, I. Y. & Skopina, M. A., 2012, In : Mathematical Notes. 91, 5-6, p. 895-898

Research output

2011
11 Citations (Scopus)
Wavelets
Approximation Order
Approximation
Series
Class

Wavelet Theory

Novikov, I. Y., Protasov, V. Y. & Skopina, M. A., 2011, American Mathematical Society. 506 p.

Research output

Wavelets
Functional Analysis
Biorthogonal System
Video Processing
Approximation Theory
2010
42 Citations (Scopus)

p-Adic Multiresolution Analysis and Wavelet Frames

Albeverio, S., Evdokimov, S. & Skopina, M., 2010, In : Journal of Fourier Analysis and Applications. 16, 5, 22 p.

Research output

2009

2-adic wavelet bases

Evdokimov, S. A. & Skopina, M. A., 2009, In : Proceedings of the Steklov Institute of Mathematics. 266, 2, p. 143-154

Research output

28 Citations (Scopus)
Multiresolution analysis
Multiresolution Analysis
Pseudodifferential Operators
P-adic
Refinable Functions
18 Citations (Scopus)

p-Adic Nonorthogonal Wavelet Bases

Albeverio, S., Evdokimov, S. & Skopina, M., 2009, In : Proceedings of the Steklov Institute of Mathematics. 265, 1, p. 1-12

Research output

18 Citations (Scopus)

p-Adic Orthogonal Wavelet Bases

Khrennikov, A. Y., Shelkovich, V. M. & Skopina, M., 2009, In : P-Adic Numbers, Ultrametric Analysis, and Applications. 1, 2, p. 145–156

Research output

2008
7 Citations (Scopus)

Tight wavelet frames

Skopina, M. A., 2008, In : Doklady Mathematics. 77, 2, p. 182-185

Research output

2005
3 Citations (Scopus)

Ridge Wavelets on the BallA

Askari Hemmat, A., Dehghan, M. A. & Skopina, M., 2005, In : Journal of Approximation Theory. 136, 2, p. 129-139

Research output

Теория всплесков

Новиков, И. Я., Протасов, В. Ю. & Скопина, М. А., 2005, Издательство "Наука". 613 p.

Research output

2003
2000
10 Citations (Scopus)
1999

Localization principle for wavelet expansions

Skopina, M., 1999, Self-Similar Systems: Proceedings of the International Workshop (July 30 - August 7, 1998, Dubna, Russia). p. 125-130

Research output

2 Citations (Scopus)

Square linear means with hyperbolic factors

Liflyand, E. & Skopina, M. A., 1998, In : Analysis. 18, p. 333-343

Research output

1996
1 Citation (Scopus)

On the summability of double Fourier series at a point

Baron, S., Liflyand, E. & Skopina, M. A., 1996, In : Analysis. 16, 195-205

Research output