Persons: Terekhin, Pavel Aleksandrovich

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Terekhin, Pavel Aleksandrovich

Statistics Math-Net.Ru
Total publications:	26
Scientific articles:	26
Presentations:	1

Number of views:
This page:	3198
Abstract pages:	8396
Full texts:	2482
References:	904

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.

http://www.mathnet.ru/eng/person18257

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/656966

Publications in Math-Net.Ru

	2020
1.	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 ; Funct. Anal. Appl., 54:1 (2020), 45–48
	2019
2.	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
	2018
3.	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
4.	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
5.	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
	2016
6.	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
7.	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
8.	P. A. Terekhin, “Affine Riesz bases and the dual function”, Mat. Sb., 207:9 (2016), 111–143 ; Sb. Math., 207:9 (2016), 1287–1318
	2014
9.	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
	2013
10.	P. A. Terekhin, “Affine Quantum Frames and Their Spectrum”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:1(1) (2013), 32–36
	2012
11.	P. A. Terekhin, “On Bessel Systems in a Banach Space”, Mat. Zametki, 91:2 (2012), 285–296 ; Math. Notes, 91:2 (2012), 272–282
	2011
12.	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
	2010
13.	P. A. Terekhin, “Frames in Banach Spaces”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 50–62 ; Funct. Anal. Appl., 44:3 (2010), 199–208
14.	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
	2009
15.	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
16.	P. A. Terekhin, “Projection description of bessel sequences”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:1 (2009), 44–51
17.	P. A. Terekhin, “Banach frames in the affine synthesis problem”, Mat. Sb., 200:9 (2009), 127–146 ; Sb. Math., 200:9 (2009), 1383–1402
	2008
18.	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
19.	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
	2007
20.	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
	2005
21.	P. A. Terekhin, “Multishifts in Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 69–81 ; Funct. Anal. Appl., 39:1 (2005), 57–67
	2004
22.	P. A. Terekhin, “Representation Systems and Projections of Bases”, Mat. Zametki, 75:6 (2004), 944–947 ; Math. Notes, 75:6 (2004), 881–884
23.	P. A. Terekhin, “On Perturbations of the Haar System”, Mat. Zametki, 75:3 (2004), 466–469 ; Math. Notes, 75:3 (2004), 435–438
	2002
24.	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
	1999
25.	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
	1997
26.	P. A. Terekhin, “Trigonometrical algebras”, Zap. Nauchn. Sem. POMI, 236 (1997), 183–191 ; J. Math. Sci. (New York), 95:2 (1999), 2156–2160

Presentations in Math-Net.Ru

1.	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

Saratov State University

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