Professor of the Department of Theory of Functions and Stochastic Analysis, Saratov State University

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Keywords: frames in Banach space, systems of dilations and translations, Hilbert spaces with reproducing kernel.

Education:

→ 1992-1997 – Faculty of Mechanics and Mathematics, Saratov State University;

→ 1997-2000 – graduate school of the Department of Mathematical Analysis, Saratov State University, advisor Prof. D.V. Prokhorov;

→ 2000 – Ph.D. Thesis "Representing properties of systems of dilations and translations of functions";

→ 2010 – Dr. Sci. Thesis "Affine systems of functions and frames in Banach space".

Publications (recent):

2023

→ P. A. Terekhin, "Orthorecursive expansions generated by the Szego kernel", Izv. Saratov Univ. Math. Mech. Inform., 23:4 (2023), 443–455, DOI.

2022

→ S.V. Astashkin, P.A. Terekhin, "On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions", Proc. Steklov Inst. Math., 319 (2022), 13–21, DOI.

→ S.V. Astashkin, P.A. Terekhin, "Sequences of dilations and translations equivalent to the Haar system in \(L_p\)-spaces", J. Approx. Theory, 274 (2022), 105672, DOI.

2020

→ S.V. Astashkin, P.A. Terekhin, "Representation of functions in symmetric spaces by dilations and translations", Funct. Anal. Appl., 54:1 (2020), 45–48, DOI.

→ S.V. Astashkin, P.A. Terekhin, "Representing Systems of Dilations and Translations in Symmetric Function Spaces", Journal of Fourier Analysis and Applications, 26:1 (2020), 13, DOI.

2019

→ S.A. Buterin, P.A. Terekhin, "On solvability of one nonlinear integral equation in the class of analytic functions", Applied Mathematics Letters, 96 (2019), 27–32, DOI.

→ K.S. Speransky, P.A. Terekhin, "On existence of frames based on the Szegö kernel in the Hardy space", Russian Math. (Iz. VUZ), 63:2 (2019), 51–61, DOI.

2018

→ K.S. Speransky, P.A. Terekhin, "A representing system generated by the Szego kernel for the Hardy space", Indagationes Mathematicae, 29:5 (2018), 1318–1325, DOI.

→ S.F. Lukomskii, P.A. Terekhin, S.A. Chumachenko, "Rademacher Chaoses in Problems of Constructing Spline Affine Systems", Math. Notes, 103:6 (2018), 919–928, DOI.

→ S.V. Astashkin, P.A. Terekhin, "Basis properties of affine Walsh systems in symmetric spaces", Izv. Math., 82:3 (2018), 451–476, DOI.

→ S.V. Astashkin, P.A. Terekhin, "Affine Walsh-type systems of functions in symmetric spaces", Sb. Math., 209:4 (2018), 469–490, DOI.

→ S.V. Astashkin, P.A. Terekhin, "Sequences of dilations and translations in function spaces", Journal of Mathematical Analysis and Applications, 457:1 (2018), 645–671, DOI.