Grigoryan, M. G.; Sargsyan, A. A. On the existence and structure of universal functions for weighted spaces \(L^1_\mu [0,1]\). (English) Zbl 07798195 J. Math. Sci., New York 271, No. 5, Series A, 644-657 (2023). Reviewer: Rostom Getsadze (Uppsala) MSC: 42C10 42A16 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Sargsyan}, J. Math. Sci., New York 271, No. 5, 644--657 (2023; Zbl 07798195) Full Text: DOI
Grigoryan, M. G.; Kamont, A.; Maranjyan, A. A. Menshov-type theorem for divergence sets of sequences of localized operators. (English) Zbl 1527.42041 J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 81-92 (2023); and Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 2, 46-62 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C10 42A20 42A24 PDFBibTeX XMLCite \textit{M. G. Grigoryan} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 81--92 (2023; Zbl 1527.42041) Full Text: DOI
Grigoryan, M. G. On the convergence of negative-order Cesàro means of Fourier and Fourier-Walsh series. (English. Russian original) Zbl 1504.42006 Math. Notes 112, No. 3, 476-479 (2022); translation from Mat. Zametki 112, No. 3, 474-477 (2022). Reviewer: Rostom Getsadze (Uppsala) MSC: 42A20 42C10 42A16 40G05 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Math. Notes 112, No. 3, 476--479 (2022; Zbl 1504.42006); translation from Mat. Zametki 112, No. 3, 474--477 (2022) Full Text: DOI
Grigoryan, M. G. On universal Fourier series in the Walsh system. (English. Russian original) Zbl 1503.42025 Sib. Math. J. 63, No. 5, 868-882 (2022); translation from Sib. Mat. Zh. 63, No. 5, 1035-1051 (2022). Reviewer: Iris Athamaica Lopez Palacios (Caracas) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sib. Math. J. 63, No. 5, 868--882 (2022; Zbl 1503.42025); translation from Sib. Mat. Zh. 63, No. 5, 1035--1051 (2022) Full Text: DOI
Grigoryan, M. G. On Fourier series almost universal in the class of measurable functions. (English. Russian original) Zbl 1497.42051 J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 4, 215-221 (2022); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 4, 14-22 (2022). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 4, 215--221 (2022; Zbl 1497.42051); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 4, 14--22 (2022) Full Text: DOI
Grigoryan, Martin G.; Maranjyan, Artavazd A. On the divergence of Fourier series in the general Haar system. (English) Zbl 1505.42005 Armen. J. Math. 13, Paper No. 6, 10 p. (2021). MSC: 42A20 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Maranjyan}, Armen. J. Math. 13, Paper No. 6, 10 p. (2021; Zbl 1505.42005) Full Text: DOI
Avetisyan, Zhirayr; Grigoryan, Martin; Ruzhansky, Michael Approximations in \(L^1\) with convergent Fourier series. (English) Zbl 1478.42001 Math. Z. 299, No. 3-4, 1907-1927 (2021). MSC: 42A10 42C10 42C05 PDFBibTeX XMLCite \textit{Z. Avetisyan} et al., Math. Z. 299, No. 3--4, 1907--1927 (2021; Zbl 1478.42001) Full Text: DOI arXiv
Grigoryan, M. G.; Simonyan, L. S. On the convergence of Bochner-Riesz’s spherical means of Fourier double integrals. (English) Zbl 1488.42124 J. Indian Math. Soc., New Ser. 88, No. 1-2, 88-96 (2021). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{L. S. Simonyan}, J. Indian Math. Soc., New Ser. 88, No. 1--2, 88--96 (2021; Zbl 1488.42124) Full Text: DOI
Grigoryan, M. G. On the existence and structure of universal functions. (English. Russian original) Zbl 1477.42028 Dokl. Math. 103, No. 1, 23-25 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 30-33 (2021). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Dokl. Math. 103, No. 1, 23--25 (2021; Zbl 1477.42028); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 30--33 (2021) Full Text: DOI
Grigoryan, M. G. On unconditional and absolute convergence of the Haar series in the metric of \(L^p[0,1]\) with \(0<p<1 \). (English. Russian original) Zbl 1473.42030 Sib. Math. J. 62, No. 4, 607-615 (2021); translation from Sib. Mat. Zh. 62, No. 4, 747-757 (2021). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sib. Math. J. 62, No. 4, 607--615 (2021; Zbl 1473.42030); translation from Sib. Mat. Zh. 62, No. 4, 747--757 (2021) Full Text: DOI
Grigoryan, M. G.; Ghazaryan, A. L.; Kazaryan, G. G. On the uniform convergence of double Fourier-Walsh series. (English) Zbl 1497.42052 Proc. Yerevan State Univ., Phys. Math. Sci. 54, No. 1, 20-28 (2020). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan} et al., Proc. Yerevan State Univ., Phys. Math. Sci. 54, No. 1, 20--28 (2020; Zbl 1497.42052) Full Text: MNR
Grigoryan, M. G. Functions universal with respect to the Walsh system. (English. Russian original) Zbl 1459.42041 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 376-388 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 51-67 (2020). Reviewer: Iris Athamaica Lopez Palacios (Caracas) MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 376--388 (2020; Zbl 1459.42041); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 51--67 (2020) Full Text: DOI
Gevorkyan, G. G.; Grigoryan, M. G. On convergence of quadratic partial sums of a multiple Franklin series to infinity. (English. Russian original) Zbl 1453.42024 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 1, 5-12 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 1, 9-18 (2020). Reviewer: Rostom Getsadze (Uppsala) MSC: 42C10 42A20 43A15 PDFBibTeX XMLCite \textit{G. G. Gevorkyan} and \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 1, 5--12 (2020; Zbl 1453.42024); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 1, 9--18 (2020) Full Text: DOI
Sargsyan, A.; Grigoryan, M. Universal functions with respect to the double Walsh system for classes of integrable functions. (English) Zbl 1474.42112 Anal. Math. 46, No. 2, 367-392 (2020). MSC: 42C10 43A15 42A16 PDFBibTeX XMLCite \textit{A. Sargsyan} and \textit{M. Grigoryan}, Anal. Math. 46, No. 2, 367--392 (2020; Zbl 1474.42112) Full Text: DOI
Grigoryan, M. G. Functions with universal Fourier-Walsh series. (English. Russian original) Zbl 1447.42031 Sb. Math. 211, No. 6, 850-874 (2020); translation from Mat. Sb. 211, No. 6, 107-131 (2020). MSC: 42C10 42A20 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sb. Math. 211, No. 6, 850--874 (2020; Zbl 1447.42031); translation from Mat. Sb. 211, No. 6, 107--131 (2020) Full Text: DOI
Grigoryan, M. G. Universal Fourier series. (English. Russian original) Zbl 1446.42039 Math. Notes 108, No. 2, 282-285 (2020); translation from Mat. Zametki 108, No. 2, 296-299 (2020). MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Math. Notes 108, No. 2, 282--285 (2020; Zbl 1446.42039); translation from Mat. Zametki 108, No. 2, 296--299 (2020) Full Text: DOI
Grigoryan, Martin G. Functions, universal with respect to the classical systems. (English) Zbl 1445.42019 Adv. Oper. Theory 5, No. 4, 1414-1433 (2020). MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Adv. Oper. Theory 5, No. 4, 1414--1433 (2020; Zbl 1445.42019) Full Text: DOI
Gevorkyan, G. G.; Grigoryan, M. G. Absolute convergence of the double Fourier-Franklin series. (English. Russian original) Zbl 1442.42014 Sib. Math. J. 61, No. 3, 403-416 (2020); translation from Sib. Mat. Zh. 61, No. 3, 513-527 (2020). MSC: 42A20 42C10 PDFBibTeX XMLCite \textit{G. G. Gevorkyan} and \textit{M. G. Grigoryan}, Sib. Math. J. 61, No. 3, 403--416 (2020; Zbl 1442.42014); translation from Sib. Mat. Zh. 61, No. 3, 513--527 (2020) Full Text: DOI
Grigoryan, M. G.; Simonyan, L. S. Double universal Fourier series. (English. Russian original) Zbl 1440.42134 J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 6, 355-364 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 2019, No. 6, 42-53 (2019). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{L. S. Simonyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 6, 355--364 (2019; Zbl 1440.42134); translation from Izv. Nats. Akad. Nauk Armen., Mat. 2019, No. 6, 42--53 (2019) Full Text: DOI
Grigoryan, M. G. On the absolute convergence of Fourier-Haar series in the metric of \(L^p(0, 1)\), \(0 < p < 1\). (English. Russian original) Zbl 1435.42022 J. Math. Sci., New York 243, No. 6, 844-858 (2019); translation from Zap. Nauchn. Semin. POMI 467, 34-54 (2018). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Math. Sci., New York 243, No. 6, 844--858 (2019; Zbl 1435.42022); translation from Zap. Nauchn. Semin. POMI 467, 34--54 (2018) Full Text: DOI
Galoyan, Levon; Grigoryan, Martin Application of negative order Cesàro summability methods to Fourier-Walsh series of functions from \(L^{\infty}[0,1]\). (English) Zbl 1432.42004 Colloq. Math. 158, No. 2, 195-212 (2019). MSC: 42A24 42C10 40G05 PDFBibTeX XMLCite \textit{L. Galoyan} and \textit{M. Grigoryan}, Colloq. Math. 158, No. 2, 195--212 (2019; Zbl 1432.42004) Full Text: DOI
Sargsyan, Artsrun; Grigoryan, Martin Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system. (English) Zbl 1423.42050 Positivity 23, No. 5, 1261-1280 (2019). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{A. Sargsyan} and \textit{M. Grigoryan}, Positivity 23, No. 5, 1261--1280 (2019; Zbl 1423.42050) Full Text: DOI
Grigoryan, Martin; Sargsyan, Artsrun On the structure of universal functions for classes \(L^p[0,1)^2\), \(p\in(0,1)\), with respect to the double Walsh system. (English) Zbl 1418.42044 Banach J. Math. Anal. 13, No. 3, 647-674 (2019). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. Grigoryan} and \textit{A. Sargsyan}, Banach J. Math. Anal. 13, No. 3, 647--674 (2019; Zbl 1418.42044) Full Text: DOI Euclid
Grigoryan, Martin G.; Grigoryan, Tigran M.; Simonyan, L. S. Convergence of Fourier-Walsh double series in weighted \(L_{\mu}^{p}[0,1)^{2}\). (English) Zbl 1418.42043 Delgado, Julio (ed.) et al., Analysis and partial differential equations: perspectives from developing countries, Imperial College London, UK, 2016. Cham: Springer. Springer Proc. Math. Stat. 275, 109-136 (2019). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} et al., Springer Proc. Math. Stat. 275, 109--136 (2019; Zbl 1418.42043) Full Text: DOI
Grigoryan, M. G.; Sargsyan, Stepan A. Almost everywhere convergence of greedy algorithm with respect to Vilenkin system. (English. Russian original) Zbl 1440.42133 J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 331-345 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 13-32 (2018). Reviewer: Esentay Alsynbaeva (Alma-Ata) MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{S. A. Sargsyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 331--345 (2018; Zbl 1440.42133); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 13--32 (2018) Full Text: DOI
Grigoryan, M. G.; Sargsyan, S. A. On the L1-convergence and behavior of coefficients of Fourier-Vilenkin series. (English) Zbl 1440.42132 Positivity 22, No. 3, 897-918 (2018). MSC: 42C10 42C20 42A16 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{S. A. Sargsyan}, Positivity 22, No. 3, 897--918 (2018; Zbl 1440.42132) Full Text: DOI
Grigoryan, Martin G.; Sargsyan, Artsrun A. The structure of universal functions for \(L^p\)-spaces, \(p\in(0,1)\). (English. Russian original) Zbl 1392.42027 Sb. Math. 209, No. 1, 35-55 (2018); translation from Mat. Sb. 209, No. 1, 37-57 (2018). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Sargsyan}, Sb. Math. 209, No. 1, 35--55 (2018; Zbl 1392.42027); translation from Mat. Sb. 209, No. 1, 37--57 (2018) Full Text: DOI
Grigoryan, Martin; Grigoryan, Tigran; Sargsyan, Artsrun On the universal function for weighted spaces \(L^p_{\mu}[0,1], p\geq1\). (English) Zbl 1382.42016 Banach J. Math. Anal. 12, No. 1, 104-125 (2018). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. Grigoryan} et al., Banach J. Math. Anal. 12, No. 1, 104--125 (2018; Zbl 1382.42016) Full Text: DOI arXiv Euclid
Sargsyan, Artsrun; Grigoryan, Martin Universal function for a weighted space \(L^1_{\mu}[0,1]\). (English) Zbl 1378.42015 Positivity 21, No. 4, 1457-1482 (2017). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{A. Sargsyan} and \textit{M. Grigoryan}, Positivity 21, No. 4, 1457--1482 (2017; Zbl 1378.42015) Full Text: DOI arXiv
Grigoryan, Martin G. On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series. (English) Zbl 1376.42037 Banach J. Math. Anal. 11, No. 3, 698-712 (2017). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 42A65 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Banach J. Math. Anal. 11, No. 3, 698--712 (2017; Zbl 1376.42037) Full Text: DOI Euclid
Grigoryan, Martin G.; Navasardyan, Karen A. Universal functions in ‘correction’ problems guaranteeing the convergence of Fourier-Walsh series. (English. Russian original) Zbl 1367.42012 Izv. Math. 80, No. 6, 1057-1083 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 65-91 (2016). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{K. A. Navasardyan}, Izv. Math. 80, No. 6, 1057--1083 (2016; Zbl 1367.42012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 65--91 (2016) Full Text: DOI
Grigoryan, Martin G.; Sargsyan, A. A. On existence of a universal function for \(L^p[0, 1]\) with \(p\in(0, 1)\). (English. Russian original) Zbl 1361.42028 Sib. Math. J. 57, No. 5, 796-808 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1021-1035 (2016). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Sargsyan}, Sib. Math. J. 57, No. 5, 796--808 (2016; Zbl 1361.42028); translation from Sib. Mat. Zh. 57, No. 5, 1021--1035 (2016) Full Text: DOI
Grigoryan, M. G.; Navasardyan, K. A. On behavior of Fourier coefficients by Walsh system. (English. Russian original) Zbl 1343.42038 J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 1, 21-33 (2016); translation from Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 1, 3-20 (2016). MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{K. A. Navasardyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 1, 21--33 (2016; Zbl 1343.42038); translation from Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 1, 3--20 (2016) Full Text: DOI
Grigoryan, M. G.; Sargsyan, A. A. On the universal function for the class \(L^{p}[0,1]\), \(p\in (0,1)\). (English) Zbl 1333.42049 J. Funct. Anal. 270, No. 8, 3111-3133 (2016). MSC: 42C10 43A15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Sargsyan}, J. Funct. Anal. 270, No. 8, 3111--3133 (2016; Zbl 1333.42049) Full Text: DOI
Grigoryan, M. G. Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces. (English. Russian original) Zbl 1336.42019 J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 3, 128-140 (2015); translation from Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 3, 3-21 (2015). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 3, 128--140 (2015; Zbl 1336.42019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 3, 3--21 (2015) Full Text: DOI
Galoyan, L. N.; Grigoryan, M. G.; Kobelyan, A. Kh Convergence of Fourier series in classical systems. (English. Russian original) Zbl 1328.42001 Sb. Math. 206, No. 7, 941-979 (2015); translation from Mat. Sb. 206, No. 7, 55-94 (2015). MSC: 42A24 42A20 42C10 40G05 PDFBibTeX XMLCite \textit{L. N. Galoyan} et al., Sb. Math. 206, No. 7, 941--979 (2015; Zbl 1328.42001); translation from Mat. Sb. 206, No. 7, 55--94 (2015) Full Text: DOI
Grigoryan, M. G.; Krotov, V. G. Luzin’s correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system. (English. Russian original) Zbl 1263.42006 Math. Notes 93, No. 2, 217-223 (2013); translation from Mat. Zametki 93, No. 2, 172-178 (2013). MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{V. G. Krotov}, Math. Notes 93, No. 2, 217--223 (2013; Zbl 1263.42006); translation from Mat. Zametki 93, No. 2, 172--178 (2013) Full Text: DOI
Grigoryan, M. G.; Sargsyan, S. A. Nonlinear approximation of functions from the class \(L^r\) with respect to the Vilenkin system. (English. Russian original) Zbl 1268.42049 Russ. Math. 57, No. 2, 25-33 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 2, 30-39 (2013). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{S. A. Sargsyan}, Russ. Math. 57, No. 2, 25--33 (2013; Zbl 1268.42049); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 2, 30--39 (2013) Full Text: DOI
Grigoryan, M. G. Modifications of functions, Fourier coefficients and nonlinear approximation. (English. Russian original) Zbl 1246.42024 Sb. Math. 203, No. 3, 351-379 (2012); translation from Mat. Sb. 203, No. 3, 49-78 (2012). MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sb. Math. 203, No. 3, 351--379 (2012; Zbl 1246.42024); translation from Mat. Sb. 203, No. 3, 49--78 (2012) Full Text: DOI
Episkoposian, S. A.; Grigorian, M. G. \(L^p\)-convergence of greedy algorithm by generalized Walsh system. (English) Zbl 1238.42011 J. Math. Anal. Appl. 389, No. 2, 1374-1379 (2012). Reviewer: S. F. Lukomskii (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{S. A. Episkoposian} and \textit{M. G. Grigorian}, J. Math. Anal. Appl. 389, No. 2, 1374--1379 (2012; Zbl 1238.42011) Full Text: DOI Link
Grigoryan, M. G.; Sargsyan, A. A. On the coefficients of the expansion of elements from \(C[0,1]\) space by Faber-Schauder system. (English) Zbl 1229.42032 J. Funct. Spaces Appl. 9, No. 2, 191-203 (2011). Reviewer: István Mező (Debrecen) MSC: 42C10 42C15 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{A. A. Sargsyan}, J. Funct. Spaces Appl. 9, No. 2, 191--203 (2011; Zbl 1229.42032) Full Text: DOI
Grigoryan, Martin G. On the Fourier-Walsh coefficients. (English) Zbl 1202.42050 Real Anal. Exch. 35(2009-2010), No. 1, 157-166 (2010). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42C10 42C20 26D15 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Real Anal. Exch. 35, No. 1, 157--166 (2010; Zbl 1202.42050) Full Text: DOI
Grigoryan, M. G. Series by Walsh’s system with monotone coefficients. (English) Zbl 1177.42024 Int. J. Mod. Math. 4, No. 3, 259-267 (2009). MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Int. J. Mod. Math. 4, No. 3, 259--267 (2009; Zbl 1177.42024)
Grigoryan, M. G.; Sargsyan, A. A.; Zink, R. E. Greedy approximation in certain subsystems of the Schauder system. (English) Zbl 1177.42025 Real Anal. Exch. 34(2008-2009), No. 1, 227-238 (2009). Reviewer: István Mező (Debrecen) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan} et al., Real Anal. Exch. 34, No. 1, 227--238 (2009; Zbl 1177.42025) Full Text: DOI
Grigoryan, M. G. The strong \(L^{1}\)- greedy property of the Walsh system. (English. Russian original) Zbl 1160.42313 Russ. Math. 52, No. 5, 20-31 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 26-37 (2008). MSC: 42C10 41A65 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Russ. Math. 52, No. 5, 20--31 (2008; Zbl 1160.42313); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 26--37 (2008) Full Text: DOI
Grigoryan, M. G. Series by Haar system with monotone coefficients. (English. Russian original) Zbl 1188.42011 J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 4, 205-218 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 4, 37-52 (2007). MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 4, 205--218 (2007; Zbl 1188.42011); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 4, 37--52 (2007) Full Text: DOI
Grigoryan, M. G.; Gogyan, S. L. On rearranged series by Haar system. (English. Russian original) Zbl 1231.42026 J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 2, 92-108 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 2, 44-64 (2007). MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan} and \textit{S. L. Gogyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 2, 92--108 (2007; Zbl 1231.42026); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 2, 44--64 (2007) Full Text: DOI
Grigorian, Martin G.; Zink, Robert E. Greedy approximation with respect to certain subsystems of the Walsh orthonormal system. (English) Zbl 1112.42014 Proc. Am. Math. Soc. 134, No. 12, 3495-3505 (2006). MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigorian} and \textit{R. E. Zink}, Proc. Am. Math. Soc. 134, No. 12, 3495--3505 (2006; Zbl 1112.42014) Full Text: DOI
Grigoryan, M. G. On the strong \(L^p_m\)-property of orthonormal systems. (English. Russian original) Zbl 1082.42015 Sb. Math. 194, No. 10, 1503-1532 (2003); translation from Mat. Sb. 194, No. 10, 77-106 (2003). Reviewer: Ferenc Móricz (Szeged) MSC: 42C05 46E30 42C30 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sb. Math. 194, No. 10, 1503--1532 (2003; Zbl 1082.42015); translation from Mat. Sb. 194, No. 10, 77--106 (2003) Full Text: DOI
Grigorian, M. G.; Zink, Robert E. Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for \(L^{p}[0,1]\), \(1\leq p < +\infty\). (English) Zbl 1022.42017 Proc. Am. Math. Soc. 131, No. 4, 1137-1149 (2003). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42C30 PDFBibTeX XMLCite \textit{M. G. Grigorian} and \textit{R. E. Zink}, Proc. Am. Math. Soc. 131, No. 4, 1137--1149 (2003; Zbl 1022.42017) Full Text: DOI
Grigoryan, M. G. On orthogonal series universal in \(L^p_{[0,1]},p>0\). (English. Russian original) Zbl 1160.42309 J. Contemp. Math. Anal., Armen. Acad. Sci. 37, No. 2, 16-29 (2002); translation from Izv. Nats. Akad. Nauk Armen., Mat. 37, No. 2, 3-16 (2002). MSC: 42C05 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 37, No. 2, 16--29 (2002; Zbl 1160.42309); translation from Izv. Nats. Akad. Nauk Armen., Mat. 37, No. 2, 3--16 (2002)
Grigorian, M. G.; Episkoposian, S. A. Representation of functions in the weighted space \(L^1_{\mu}\) by trigonometric and Walsh series. (English) Zbl 1001.42019 Anal. Math. 27, No. 4, 261-277 (2001). Reviewer: G.Gát (Nyíregyháza) MSC: 42C10 42C20 42A16 42C15 PDFBibTeX XMLCite \textit{M. G. Grigorian} and \textit{S. A. Episkoposian}, Anal. Math. 27, No. 4, 261--277 (2001; Zbl 1001.42019) Full Text: DOI
Grigoryan, M. G. Universality systems in \(L^p\), \(1\leq p< 2\). (English. Russian original) Zbl 1016.42016 Russ. Math. 44, No. 5, 17-20 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 5, 19-22 (2000). Reviewer: Ferenc Móricz (Szeged) MSC: 42C15 42C05 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Russ. Math. 44, No. 5, 17--20 (2000; Zbl 1016.42016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 5, 19--22 (2000)
Grigoryan, M. G. On some properties of orthogonal systems. (English. Russian original) Zbl 0822.42017 Russ. Acad. Sci., Izv., Math. 43, No. 2, 261-289 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 75-105 (1993). Reviewer: W.R.Wade (Knoxville) MSC: 42C15 42C10 42B05 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Russ. Acad. Sci., Izv., Math. 43, No. 2, 1 (1993; Zbl 0822.42017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 75--105 (1993) Full Text: DOI
Grigoryan, M. G. The convergence in the \(L^ p\) metric of the Fourier-Laplace series. (English. Russian original) Zbl 0796.42017 Russ. Math. 36, No. 2, 17-23 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 2(357), 17-23 (1992). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Russ. Math. 36, No. 2, 1 (1992; Zbl 0796.42017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 2(357), 17--23 (1992)
Grigoryan, M. G. On the convergence of Fourier-Walsh series in the metric of \(L^ 1\) and almost everywhere. (English. Russian original) Zbl 0727.42018 Sov. Math. 34, No. 11, 9-20 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 11(342), 9-18 (1990). Reviewer: V.Totik (Szeged) MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sov. Math. 34, No. 11, 9--20 (1990; Zbl 0727.42018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 11(342), 9--18 (1990)
Grigoryan, M. G. On the convergence in the \(L^ 1\)-metric and almost everywhere of Fourier series with respect to complete orthonormal systems. (Russian) Zbl 0718.42022 Mat. Sb. 181, No. 8, 1011-1030 (1990). Reviewer: F.Móricz (Szeged) MSC: 42C05 42A20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Mat. Sb. 181, No. 8, 1011--1030 (1990; Zbl 0718.42022) Full Text: EuDML
Grigoryan, M. G. Convergence almost everywhere of Fourier-Legendre series of summable functions. (English. Russian original) Zbl 0711.42011 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 25, No. 1, 31-49 (1990); translation from Izv. Akad. Nauk Arm. SSR, Mat. 25, No. 1, 34-52 (1990). MSC: 42A20 42C10 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 25, No. 1, 31--49 (1990; Zbl 0711.42011); translation from Izv. Akad. Nauk Arm. SSR, Mat. 25, No. 1, 34--52 (1990)
Grigoryan, M. G. On the convergence of Laplace and Fourier series. (English. Russian original) Zbl 0749.42011 Sov. Math., Dokl. 42, No. 3, 736-737 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 265-266 (1990). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sov. Math., Dokl. 42, No. 3, 736--737 (1990; Zbl 0749.42011); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 265--266 (1990)
Grigorian, M. G. Representation of functions from the classes \(L^p[0,1]\), \(1\leq p<2\) by orthogonal series. (Russian) Zbl 0405.42010 Dokl. Akad. Nauk Arm. SSR 67, 269-274 (1978). MSC: 42C05 40A30 33C45 PDFBibTeX XMLCite \textit{M. G. Grigorian}, Dokl., Akad. Nauk Arm. SSR 67, 269--274 (1978; Zbl 0405.42010)