Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Keywords: convergence and unconditional convergence almost everywhere,
Walsh system,
absolute convergence,
classical and general orthogonal systems,
multiplicative inequalities,
exponential sums.
UDC: 517.522.3, 517.512.2/.4, 513.881, 517.53, 517.5, 517.522, 577.5
Subject:
Trigonometic and orthogonal series, functional spaces, bases, almost everywhere convergence, exponential sums, BMO and Hardy spaces, multiplicative systems.
Main publications:
S. V. Bochkarev, “A Generalization of Kolmogorov's Theorem to Biorthogonal Systems”, Proc. Steklov Inst. Math., 260 (2008), 37–49
S. V. Bochkarev, “Multiplicative Inequalities for the $L_1$ Norm: Applications in Analysis and Number Theory”, Proc. Steklov Inst. Math., 255 (2006), 49–64
S. V. Bochkarev, “Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems”, Russian Math. Surveys, 59:1 (2004), 103–124
S. V. Bochkarev, “The method of averaging in the theory of orthogonal series and some questions in the theory of bases”, Proc. Steklov Inst. Math., 146 (1980), 1–92
S. V. Bochkarev, “Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin's system”, Math. USSR-Sb., 24:1 (1974), 1–16
