Publications in Math-Net.Ru |
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2019 |
1. |
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, 2, 57–68 |
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2018 |
2. |
S. V. Astashkin, P. A. Terekhin, “Basis properties of affine Walsh systems in symmetric spaces”, Izv. RAN. Ser. Mat., 82:3 (2018), 3–30 ; Izv. Math., 82:3 (2018), 451–476 |
3. |
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 ; Math. Notes, 103:6 (2018), 919–928 |
4. |
S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Mat. Sb., 209:4 (2018), 3–25 ; Sb. Math., 209:4 (2018), 469–490 |
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2016 |
5. |
Kh. H. H. Al-Jourany, V. A. Mironov, P. A. Terekhin, “Affine system of Walsh type. Completeness and minimality”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:3 (2016), 247–256 |
6. |
D. S. Lukomskii, S. F. Lukomskii, P. A. Terekhin, “Solution of Cauchy problem for equation first order via Haar functions”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:2 (2016), 151–159 |
7. |
P. A. Terekhin, “Affine Riesz bases and the dual function”, Mat. Sb., 207:9 (2016), 111–143 ; Sb. Math., 207:9 (2016), 1287–1318 |
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2014 |
8. |
P. A. Terekhin, “Affine Systems of Walsh Type. Orthogonalization and Completion”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:4(1) (2014), 395–400 |
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2013 |
9. |
P. A. Terekhin, “Affine Quantum Frames and Their Spectrum”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:1(1) (2013), 32–36 |
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2012 |
10. |
P. A. Terekhin, “On Bessel Systems in a Banach Space”, Mat. Zametki, 91:2 (2012), 285–296 ; Math. Notes, 91:2 (2012), 272–282 |
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2011 |
11. |
P. A. Terekhin, “Best approximation of functions in $L_p$ by polynomials on affine system”, Mat. Sb., 202:2 (2011), 131–158 ; Sb. Math., 202:2 (2011), 279–306 |
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2010 |
12. |
P. A. Terekhin, “Frames in Banach Spaces”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 50–62 ; Funct. Anal. Appl., 44:3 (2010), 199–208 |
13. |
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 ; Izv. Math., 74:5 (2010), 993–1022 |
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2009 |
14. |
P. A. Terekhin, “Affine synthesis in the space $L^2(\mathbb R^d)$”, Izv. RAN. Ser. Mat., 73:1 (2009), 177–186 ; Izv. Math., 73:1 (2009), 171–180 |
15. |
P. A. Terekhin, “Projection description of bessel sequences”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:1 (2009), 44–51 |
16. |
P. A. Terekhin, “Banach frames in the affine synthesis problem”, Mat. Sb., 200:9 (2009), 127–146 ; Sb. Math., 200:9 (2009), 1383–1402 |
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2008 |
17. |
P. A. Terekhin, “On the components of summable functions represented by elements of families of wavelet functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, 2, 53–59 ; Russian Math. (Iz. VUZ), 52:2 (2008), 51–57 |
18. |
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 ; Math. Notes, 83:5 (2008), 657–674 |
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2007 |
19. |
P. A. Terekhin, “Basis conditions for systems of translates and dilates of functions in $L_p$-spaces”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:1 (2007), 39–44 |
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2005 |
20. |
P. A. Terekhin, “Multishifts in Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 69–81 ; Funct. Anal. Appl., 39:1 (2005), 57–67 |
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2004 |
21. |
P. A. Terekhin, “Representation Systems and Projections of Bases”, Mat. Zametki, 75:6 (2004), 944–947 ; Math. Notes, 75:6 (2004), 881–884 |
22. |
P. A. Terekhin, “On Perturbations of the Haar System”, Mat. Zametki, 75:3 (2004), 466–469 ; Math. Notes, 75:3 (2004), 435–438 |
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2002 |
23. |
P. A. Terekhin, “Riesz Bases Generated by Contractions and Translations of a Function on an Interval”, Mat. Zametki, 72:4 (2002), 547–560 ; Math. Notes, 72:4 (2002), 505–518 |
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1999 |
24. |
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, 8, 74–81 ; Russian Math. (Iz. VUZ), 43:8 (1999), 70–77 |
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1997 |
25. |
P. A. Terekhin, “Trigonometrical algebras”, Zap. Nauchn. Sem. POMI, 236 (1997), 183–191 ; J. Math. Sci. (New York), 95:2 (1999), 2156–2160 |
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