Kaur, Gursimran; Chawla, Meenakshi; Antal, Reena \( \Delta^m\)-statistical convergence of order \(\alpha\) of generalized difference sequences in probabilistic normed spaces. (English) Zbl 07800646 Facta Univ., Ser. Math. Inf. 38, No. 2, 273-283 (2023). MSC: 40G15 40B05 40J05 × Cite Format Result Cite Review PDF Full Text: DOI
Aistleitner, Christoph; Gantert, Nina; Kabluchko, Zakhar; Prochno, Joscha; Ramanan, Kavita Large deviation principles for lacunary sums. (English) Zbl 1506.42007 Trans. Am. Math. Soc. 376, No. 1, 507-553 (2023). Reviewer: Enji Sato (Yamagata) MSC: 42A55 60F10 11L03 37A05 11D45 11K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Frühwirth, Lorenz; Juhos, Michael; Prochno, Joscha The large deviation behavior of lacunary sums. (English) Zbl 1502.42003 Monatsh. Math. 199, No. 1, 113-133 (2022). Reviewer: Enji Sato (Yamagata) MSC: 42A55 42A24 60F10 11L03 37A05 11K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huo, Yingying; Sun, Daochun; Yang, Xiaochuan; Fang, Lulu Natural boundary of the random power series. (English) Zbl 1492.30008 Sci. China, Math. 65, No. 5, 951-970 (2022). MSC: 30B20 × Cite Format Result Cite Review PDF Full Text: DOI
Leobacher, Gunther; Prochno, Joscha Statistical independence in mathematics – the key to a Gaussian law. (English) Zbl 1465.60023 Math. Semesterber. 68, No. 1, 69-104 (2021). MSC: 60F05 60G50 11K65 42A55 42A61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rupčić, Jelena Convergence of lacunary SU(1,1)-valued trigonometric products. (English) Zbl 1434.42006 Commun. Pure Appl. Anal. 19, No. 3, 1275-1289 (2020). MSC: 42A55 40A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakas, Odysseas Variants of the inequalities of Paley and Zygmund. (English) Zbl 1420.43004 J. Fourier Anal. Appl. 25, No. 3, 1113-1133 (2019). Reviewer: Enji Sato (Yamagata) MSC: 43A46 42A55 42A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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Astashkin, S. V. Khintchine inequality for sets of small measure. (English. Russian original) Zbl 1332.46036 Funct. Anal. Appl. 48, No. 4, 235-241 (2014); translation from Funkts. Anal. Prilozh. 48, No. 4, 1-8 (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 46E30 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
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Kahane, Jean-Pierre Géza Freud and lacunary Fourier series. (English) Zbl 0621.42013 J. Approximation Theory 46, 51-57 (1986). Reviewer: W.Luther MSC: 42A55 26A27 × Cite Format Result Cite Review PDF Full Text: DOI
Pommerenke, Ch. Some examples of power series with non-Hadamard gaps. (English) Zbl 0526.30001 Math. Z. 187, 165-170 (1984). MSC: 30B10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Gaposhkin, V. F. Lacunary series in multiplicative systems of functions. I. (English) Zbl 0224.42007 Sib. Math. J. 12, 47-59 (1971). MSC: 42A55 42A20 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Móricz, F. On divergence and absolute convergence of series arising from strongly multiplicative orthogonal functions. (English) Zbl 0223.42013 Acta Math. Acad. Sci. Hung. 22, 15-21 (1971). MSC: 42C15 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tandori, K. Über die absolute Summierbarkeit der Orthogonalreihen. (On sbsolute summability of orthogonal series). (German) Zbl 0221.42012 Acta Math. Acad. Sci. Hung. 22, 215-226 (1971). MSC: 42C05 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Liedl, R. Walshfunktionen und endlichdimensionale Hilberträume. (German) Zbl 0168.11004 Monatsh. Math. 70, 342-348 (1966). × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Prasad, B. N.; Gupta, D. P. On convergence of ultraspherical lacunary series. (English) Zbl 0132.29502 Ann. Mat. Pura Appl., IV. Ser. 67, 395-403 (1965). × Cite Format Result Cite Review PDF Full Text: DOI
Kahane, J.-P. Lacunary Taylor and Fourier series. (English) Zbl 0121.30102 Bull. Am. Math. Soc. 70, 199-213 (1964). × Cite Format Result Cite Review PDF Full Text: DOI
Weiss, Mary Concerning a theorem of Paley on lacunary power series. (English) Zbl 0091.06702 Acta Math. 102, 225-238 (1959). × Cite Format Result Cite Review PDF Full Text: DOI
Paley, R. E. A. C.; Wiener, N.; Zygmund, Antoni Notes on random functions. (English) Zbl 0007.35402 Math. Z. 37, 647-668 (1933). × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Paley, R. E. A. C.; Wiener, N.; Zygmund, A. Notes on random functions. (English) JFM 59.1015.01 M. Z. 37, 647-668 (1933). Reviewer: Hoheisel, G., Prof. (Greifswald) × Cite Format Result Cite Review PDF Full Text: DOI EuDML