Geodesic
Sergei Viktorovich Bochkarev (obituary)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 77 (2022) no. 2, pp. 355-360 Cet article a éte moissonné depuis la source Math-Net.Ru

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B. S. Kashin; S. V. Konyagin. Sergei Viktorovich Bochkarev (obituary). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 77 (2022) no. 2, pp. 355-360. http://geodesic.mathdoc.fr/item/RM_2022_77_2_a3/

[1] S. V. Bochkarev, “Fourier coefficients of functions of class $\operatorname{Lip}\alpha$ with respect to complete orthonormalized systems”, Math. Notes, 7:4 (1970), 239–242 | DOI | MR | Zbl

[2] S. V. Bočkarev, “On a problem of Zygmund”, Math. USSR-Izv., 7:3 (1973), 629–637 | DOI | MR | Zbl

[3] S. V. Bočkarev, “On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions”, Math. USSR-Sb., 22:2 (1974), 201–216 | DOI | MR | Zbl

[4] S. V. Bočkarev, “Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin's system”, Sb. Math., 24:1 (1974), 1–16 | DOI | MR | Zbl

[5] S. V. Bočkarev, “A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure”, Math. USSR-Sb., 27:3 (1975), 393–405 | DOI | MR | Zbl

[6] S. V. Bočkarev, “A method of averaging in the theory of orthogonal series and some problems in the theory of bases”, Proc. Steklov Inst. Math., 146 (1980), 1–92 | MR | Zbl

[7] S. V. Bočkarev, “Rearrangements of Fourier–Walsh series”, Math. USSR-Izv., 15:2 (1980), 259–275 | DOI | MR | Zbl

[8] S. V. Bochkarev, “Construction of a dyadic interpolation basis in the space of continuous functions using Fejér kernels”, Proc. Steklov Inst. Math., 172 (1987), 29–66 | MR | Zbl

[9] S. V. Bochkarev, “On the problem of the smoothness of functions whose Fourier–Walsh series diverge almost everywhere”, Dokl. Math., 61:2 (2000), 263–266 | MR | Zbl

[10] 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 | DOI | DOI | MR | Zbl

[11] S. V. Bochkarev, “An abstract Kolmogorov theorem, and an application to metric spaces and topological groups”, Sb. Math., 209:11 (2018), 1575–1602 | DOI | DOI | MR | Zbl

[12] S. V. Konyagin, “On divergence of trigonometric Fourier series everywhere”, C. R. Acad. Sci. Paris Sér. I Math., 329:8 (1999), 693–697 | DOI | MR | Zbl

[13] S. Nakata, “On the unconditional convergence of Walsh series”, Anal. Math., 5:3 (1979), 201–205 | DOI | MR | Zbl