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Terekhin, Pavel Aleksandrovich
Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 29
Presentations: 5

Number of views:
This page:3916
Abstract pages:13407
Full texts:4403
References:1588
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,
Keywords: representation of functions by series, affine system, affine synthesis, frames in Banach space, representation system, Fourier-Haar series, prime space.

https://www.mathnet.ru/eng/person18257
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/656966

Publications in Math-Net.Ru Citations
2023
1. P. A. Terekhin, “Orthorecursive expansions generated by the Szegö kernel”, Izv. Saratov Univ. Math. Mech. Inform., 23:4 (2023),  443–455  mathnet
2022
2. S. V. Astashkin, P. A. Terekhin, “On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions”, Trudy Mat. Inst. Steklova, 319 (2022),  20–28  mathnet; Proc. Steklov Inst. Math., 319 (2022), 13–21  scopus
2020
3. S. V. Astashkin, P. A. Terekhin, “Representation of functions in symmetric spaces by dilations and translations”, Funktsional. Anal. i Prilozhen., 54:1 (2020),  58–62  mathnet  elib; Funct. Anal. Appl., 54:1 (2020), 45–48  isi  scopus
2019
4. K. S. Speransky, P. A. Terekhin, “On existence of frames based on the Szegö kernel in the Hardy space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2,  57–68  mathnet; Russian Math. (Iz. VUZ), 63:2 (2019), 51–61  isi  scopus 3
2018
5. S. V. Astashkin, P. A. Terekhin, “Basis properties of affine Walsh systems in symmetric spaces”, Izv. RAN. Ser. Mat., 82:3 (2018),  3–30  mathnet  mathscinet  zmath  elib; Izv. Math., 82:3 (2018), 451–476  isi  scopus 1
6. S. F. Lukomskii, P. A. Terekhin, S. A. Chumachenko, “Rademacher Chaoses in Problems of Constructing Spline Affine Systems”, Mat. Zametki, 103:6 (2018),  863–874  mathnet  mathscinet  elib; Math. Notes, 103:6 (2018), 919–928  isi  scopus 2
7. S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Mat. Sb., 209:4 (2018),  3–25  mathnet  mathscinet  zmath  elib; Sb. Math., 209:4 (2018), 469–490  isi  scopus 3
2016
8. Kh. H. H. Al-Jourany, V. A. Mironov, P. A. Terekhin, “Affine system of Walsh type. Completeness and minimality”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  247–256  mathnet  mathscinet  elib 1
9. D. S. Lukomskii, S. F. Lukomskii, P. A. Terekhin, “Solution of Cauchy problem for equation first order via Haar functions”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016),  151–159  mathnet  mathscinet  elib 4
10. P. A. Terekhin, “Affine Riesz bases and the dual function”, Mat. Sb., 207:9 (2016),  111–143  mathnet  mathscinet  zmath  elib; Sb. Math., 207:9 (2016), 1287–1318  isi  scopus 5
2014
11. P. A. Terekhin, “Affine Systems of Walsh Type. Orthogonalization and Completion”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  395–400  mathnet  elib 5
2013
12. P. A. Terekhin, “Affine Quantum Frames and Their Spectrum”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013),  32–36  mathnet  elib
2012
13. P. A. Terekhin, “On Bessel Systems in a Banach Space”, Mat. Zametki, 91:2 (2012),  285–296  mathnet  mathscinet  elib; Math. Notes, 91:2 (2012), 272–282  isi  elib  scopus 3
2011
14. P. A. Terekhin, “Best approximation of functions in $L_p$ by polynomials on affine system”, Mat. Sb., 202:2 (2011),  131–158  mathnet  mathscinet  zmath  elib; Sb. Math., 202:2 (2011), 279–306  isi  scopus 2
2010
15. P. A. Terekhin, “Frames in Banach Spaces”, Funktsional. Anal. i Prilozhen., 44:3 (2010),  50–62  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 44:3 (2010), 199–208  isi  scopus 18
16. P. A. Terekhin, “Linear algorithms of affine synthesis in the Lebesgue space $L^1[0,1]$”, Izv. RAN. Ser. Mat., 74:5 (2010),  115–144  mathnet  mathscinet  zmath  elib; Izv. Math., 74:5 (2010), 993–1022  isi  elib  scopus 1
2009
17. P. A. Terekhin, “Affine synthesis in the space $L^2(\mathbb R^d)$”, Izv. RAN. Ser. Mat., 73:1 (2009),  177–186  mathnet  mathscinet  zmath  elib; Izv. Math., 73:1 (2009), 171–180  isi  elib  scopus 3
18. P. A. Terekhin, “Projection description of bessel sequences”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009),  44–51  mathnet  elib 1
19. P. A. Terekhin, “Banach frames in the affine synthesis problem”, Mat. Sb., 200:9 (2009),  127–146  mathnet  mathscinet  zmath  elib; Sb. Math., 200:9 (2009), 1383–1402  isi  elib  scopus 7
2008
20. P. A. Terekhin, “On the components of summable functions represented by elements of families of wavelet functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 2,  53–59  mathnet  mathscinet; Russian Math. (Iz. VUZ), 52:2 (2008), 51–57 1
21. P. A. Terekhin, “Convergence of Biorthogonal Series in the System of Contractions and Translations of Functions in the Spaces $L^p[0,1]$”, Mat. Zametki, 83:5 (2008),  722–740  mathnet  mathscinet  zmath  elib; Math. Notes, 83:5 (2008), 657–674  isi  elib  scopus 5
2007
22. P. A. Terekhin, “Basis conditions for systems of translates and dilates of functions in $L_p$-spaces”, Izv. Saratov Univ. Math. Mech. Inform., 7:1 (2007),  39–44  mathnet  elib 1
2005
23. P. A. Terekhin, “Multishifts in Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 39:1 (2005),  69–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 39:1 (2005), 57–67  isi  scopus 14
2004
24. P. A. Terekhin, “Representation Systems and Projections of Bases”, Mat. Zametki, 75:6 (2004),  944–947  mathnet  mathscinet  zmath  elib; Math. Notes, 75:6 (2004), 881–884  isi 13
25. P. A. Terekhin, “On Perturbations of the Haar System”, Mat. Zametki, 75:3 (2004),  466–469  mathnet  mathscinet  zmath; Math. Notes, 75:3 (2004), 435–438  isi 2
2002
26. P. A. Terekhin, “Riesz Bases Generated by Contractions and Translations of a Function on an Interval”, Mat. Zametki, 72:4 (2002),  547–560  mathnet  mathscinet  zmath; Math. Notes, 72:4 (2002), 505–518  isi  scopus 9
1999
27. P. A. Terekhin, “Inequalities for the components of summable functions and their representations by elements of a system of contractions and shifts”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  74–81  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:8 (1999), 70–77 9
1997
28. P. A. Terekhin, “Trigonometrical algebras”, Zap. Nauchn. Sem. POMI, 236 (1997),  183–191  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2156–2160 2

Presentations in Math-Net.Ru
1. Альтернативно полные системы бесконечномерных гильбертовых пространств
I. M. Izbiakov, S. Ya. Novikov, P. A. Terekhin
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 10, 2024 11:05   
2. Системы векторов, восстанавливающие сигнал по модулям измерений в гильбертовом пространстве
S. Ya. Novikov, P. A. Terekhin
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 29, 2024 15:00
3. Representing Systems, Frames and Order-Preserving Greedy Algorithms
P. A. Terekhin
International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov
October 31, 2023 10:50   
4. Sequences of dilations and translations in function spaces
P. Terekhin
Approximation and discretization
August 31, 2021 15:30   
5. Квантование коэффициентов для аффинных фреймов
P. A. Terekhin
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 17:55

Organisations
 
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