Telyakovskii, S. A.; Kholshchevnikova, N. N. Conditions under which the sums of absolute values of blocks in the Fourier-Walsh series for functions of bounded variation belong to spaces \(L^p\). (English. Russian original) Zbl 1510.42007 Proc. Steklov Inst. Math. 319, Suppl. 1, S271-S280 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 226-236 (2022). MSC: 42A20 42C10 42A16 PDFBibTeX XMLCite \textit{S. A. Telyakovskii} and \textit{N. N. Kholshchevnikova}, Proc. Steklov Inst. Math. 319, S271--S280 (2022; Zbl 1510.42007); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 226--236 (2022) Full Text: DOI
Kholshchevnikova, Natalia; Skvortsov, Valentin On \(U\)- and \(M\)-sets for series with respect to characters of compact zero-dimensional groups. (English) Zbl 1435.42024 J. Math. Anal. Appl. 446, No. 1, 383-394 (2017). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{N. Kholshchevnikova} and \textit{V. Skvortsov}, J. Math. Anal. Appl. 446, No. 1, 383--394 (2017; Zbl 1435.42024) Full Text: DOI
Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. (English. Russian original) Zbl 1362.42057 Proc. Steklov Inst. Math. 290, 306-317 (2015); translation from Tr. Mat. Inst. Steklova 290, 323-334 (2015). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 40F99 PDFBibTeX XMLCite \textit{Yu. V. Malykhin} et al., Proc. Steklov Inst. Math. 290, 306--317 (2015; Zbl 1362.42057); translation from Tr. Mat. Inst. Steklova 290, 323--334 (2015) Full Text: DOI
Kholshchevnikova, N. N. On the category of \(U\)-sets for series in the Walsh system. (English. Russian original) Zbl 0797.42015 Math. Notes 53, No. 5, 539-554 (1993); translation from Mat. Zametki 53, No. 5, 129-151 (1993). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDFBibTeX XMLCite \textit{N. N. Kholshchevnikova}, Math. Notes 53, No. 5, 1 (1993; Zbl 0797.42015); translation from Mat. Zametki 53, No. 5, 129--151 (1993) Full Text: DOI