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Found 89 Documents (Results 1–89)

On the issue of convergence and summability of general Fourier series. (English. Russian original) Zbl 07760703

J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 4, 243-252 (2023); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 4, 14-23 (2023).
MSC:  42A20 42A24 42C10
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Uniqueness of series by general Franklin system with convergent subsequence of partial sums. (English. Russian original) Zbl 07760676

J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 67-80 (2023); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 2, 28-45 (2023).
MSC:  42C10 42C25
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On the \(L^p\)-greedy universal functions with respect to the generalized Walsh system. (English. Russian original) Zbl 1510.42038

J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 6, 332-343 (2022); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 6, 17-31 (2022).
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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
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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).
MSC:  42C10 43A15
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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).
MSC:  42C10 42A20 43A15
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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).
MSC:  42C10
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On convergence of partial sums of Franklin series to \(+\infty\). (English. Russian original) Zbl 1439.42040

J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 6, 347-354 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 2019, No. 6, 54-65 (2019).
MSC:  42C05 42A20
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The Gibbs phenomenon for Stromberg’s piecewise linear wavelet. (English. Russian original) Zbl 1431.05091

J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 2, 112-123 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 2, 65-81 (2019).
MSC:  05C40 42C10
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On the structure of functions, universal for weighted spaces \(L_\mu ^p\left[ {0,1} \right],p > 1\). (English. Russian original) Zbl 1440.42136

J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 3, 163-175 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 3, 69-86 (2019).
MSC:  42C10 42A16 42A20
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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).
MSC:  42C10 42C20
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On uniqueness of series by general Franklin system. (English. Russian original) Zbl 1408.42018

J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 4, 223-231 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 4, 3-14 (2018).
MSC:  42C10 42C20
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Uniqueness theorems for series by Vilenkin system. (English. Russian original) Zbl 1440.42131

J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 2, 88-99 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 2, 15-30 (2018).
MSC:  42C10
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On recovery of coefficients of Franklin series with a “good” majorant of partial sums. (English. Russian original) Zbl 1387.42031

J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 5, 254-260 (2017); translation from Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 5, 25-35 (2017).
MSC:  42C10
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On Haar series of \(A\)-integrable functions. (English. Russian original) Zbl 1373.42031

J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 149-160 (2017); translation from Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 3, 30-45 (2017).
MSC:  42C10 42C20
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A uniqueness theorem for Franklin series. (English. Russian original) Zbl 1377.42031

J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 2, 92-101 (2017); translation from Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 2, 26-38 (2017).
MSC:  42C10 42C25
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On local equivalence of the majorant of partial sums and Paley function of Franklin series. (English. Russian original) Zbl 1371.42035

J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 1, 38-47 (2017); translation from Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 1, 47-58 (2017).
MSC:  42C10 46E30
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On unconditional basis property in the space \(H^1(\mathbb R)\) of a system of Franklin functions with vanishing means. (English. Russian original) Zbl 1405.42050

J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 6, 296-315 (2016); translation from Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 6, 43-71 (2016).
MSC:  42C10 42C25 46E30
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On a system of piecewise linear functions with vanishing integrals on \(R\). (English. Russian original) Zbl 1355.42027

J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 2, 68-78 (2016); translation from Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 2, 3-16 (2016).
MSC:  42C05 46E30
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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
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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).
MSC:  42C10
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On a generalization of general Franklin system on \(R\). (English. Russian original) Zbl 1335.42034

J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 6, 309-320 (2014); translation from Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 6, 29–42 (2014).
MSC:  42C10 42C25 46E30
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Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients. (English) Zbl 1329.42027

J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 6, 296-308 (2014) and Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 6, 66–82 (2014).
MSC:  42C10 65L05 65L10
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On absolute convergence of series by a general Franklin system. (English. Russian original) Zbl 1381.42037

J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 2, 53-69 (2014); translation from Izv. Nats. Akad. Nauk Arme., Mat. 49, No. 2, 3-24 (2014).
MSC:  42C10 42C15 42C25
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Estimates for generalized derivatives of quasipolynomials from Muntz system. (English. Russian original) Zbl 1302.42040

J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 6, 356-366 (2013); translation from Izv. Nats. Akad. Nauk Armen., Mat. 48, No. 6, 101-111 (2013).
MSC:  42C05
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A uniqueness theorem for series by Stromberg’s system. (English. Russian original) Zbl 1267.42032

J. Contemp. Math. Anal., Armen. Acad. Sci. 47, No. 6, 278-292 (2012); translation from Izv. Nats. Akad. Nauk Armen., Mat. 47, No. 6, 29-52 (2012).
MSC:  42C10
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On unbounded divergence sets of series in orthonormal bases. (English. Russian original) Zbl 1267.42027

J. Contemp. Math. Anal., Armen. Acad. Sci. 47, No. 5, 234-239 (2012); translation from Izv. Nats. Akad. Nauk Armen., Mat. 47, No. 5, 39-48 (2012).
MSC:  42C05 42A20
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On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. (English) Zbl 1273.42029

J. Contemp. Math. Anal., Armen. Acad. Sci. 47, No. 5, 221-233 (2012) and Izv. Nats. Akad. Nauk Armen., Mat. 47, No. 5, 21-38 (2012).
MSC:  42C10 42C05 42C40
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On greedy algorithm in \(L^{1}(0, 1)\) by regular Haar system. (English. Russian original) Zbl 1302.42043

J. Contemp. Math. Anal., Armen. Acad. Sci. 46, No. 1, 21-31 (2011); translation from Izv. Nats. Akad. Nauk Armen., Mat. 46, No. 1, 3-16 (2011).
MSC:  42C10 42C20
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On some relations for orthogonal on a circle rational functions with fixed poles. IV. (English. Russian original) Zbl 1302.42036

J. Contemp. Math. Anal., Armen. Acad. Sci. 45, No. 5, 253-257 (2010); translation from Izv. Nats. Akad. Nauk Armen., Mat. 45, No. 5, 3-8 (2010).
MSC:  42C05 26C15
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On some relations for orthogonal on the circle rational functions with fixed poles. III. (English. Russian original) Zbl 1302.42035

J. Contemp. Math. Anal., Armen. Acad. Sci. 45, No. 1, 1-7 (2010); translation from Izv. Nats. Akad. Nauk Armen., Mat. 45, No. 1, 3-10 (2010).
MSC:  42C05 26C15
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On convergence of greedy algorithm by Walsh system in the space \(C(0, 1)\). (English. Russian original) Zbl 1302.42041

J. Contemp. Math. Anal., Armen. Acad. Sci. 43, No. 4, 206-213 (2008); translation from Izv. Nats. Akad. Nauk Armen., Mat. 43, No. 4, 18-28 (2008).
MSC:  42C10 41A21
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Orthogonal on the circle rational functions with fixed poles. II. (English. Russian original) Zbl 1171.42305

J. Contemp. Math. Anal., Armen. Acad. Sci. 43, No. 2, 67-78 (2008); translation from Izv. Nats. Akad. Nauk Armen., Mat. 43, No. 2, 3-16 (2008).
MSC:  42C05
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Series with monotone coefficients in the Walsh system. (English. Russian original) Zbl 1188.42012

J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 5, 258-269 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 5, 51-64 (2007).
MSC:  42C10 40A30
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Representation of measurable functions in Franklin general system. (English. Russian original) Zbl 1188.42013

J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 3, 151-160 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 3, 13-22 (2007).
MSC:  42C10
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Divergence of the greedy algorithm in the Faber-Schauder system on a continuum cardinality set. (English. Russian original) Zbl 1231.42027

J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 2, 109-115 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 2, 69-77 (2007).
MSC:  42C10 41A30
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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
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Convergence of multiple Fourier-Walsh series of functions of bounded \(\Lambda\)-variation. (English. Russian original) Zbl 1339.42020

J. Contemp. Math. Anal., Armen. Acad. Sci. 40, No. 2, 1-13 (2005); translation from Izv. Nats. Akad. Nauk Armen., Mat. 40, No. 2, 3-14 (2005).
MSC:  42C10
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Two remarks on quasi-greedy bases in the \(L_1\) spaces. (English. Russian original) Zbl 1339.46026

J. Contemp. Math. Anal., Armen. Acad. Sci. 40, No. 1, 2-14 (2005); translation from Izv. Nats. Akad. Nauk Armen., Mat. 40, No. 1, 5-17 (2005).
MSC:  46E30 42C10 46B15
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On uniqueness of general orthogonal series. (English. Russian original) Zbl 1039.42027

J. Contemp. Math. Anal., Armen. Acad. Sci. 35, No. 5, 76-79 (2000); translation from Izv. Nats. Akad. Nauk Armen., Mat. 35, No. 5, 81-83 (2000).
MSC:  42C25 42C15 42C10
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Unconditional basis property of generalized Franklin systems. (English. Russian original) Zbl 1022.42020

J. Contemp. Math. Anal., Armen. Acad. Sci. 35, No. 4, 2-22 (2000); translation from Izv. Nats. Akad. Nauk Armen., Mat. 35, No. 4, 7-25 (2000).
MSC:  42C10 46E30
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Orthogonal expansions of spaces of solenoidal vector-functions. (English. Russian original) Zbl 1099.35518

J. Contemp. Math. Anal., Armen. Acad. Sci. 35, No. 3, 33-45 (2000); translation from Izv. Nats. Akad. Nauk Armen., Mat. 35, No. 3, 35-47 (2000).
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Unconditional and absolute almost everywhere convergence of series by the general Franklin system. (English. Russian original) Zbl 1002.42019

J. Contemp. Math. Anal., Armen. Acad. Sci. 34, No. 3, 10-25 (1999); translation from Izv. Nats. Akad. Nauk Armen., Mat 34, No. 3, 14-28 (1999).
MSC:  42C10
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A series by Walsh system universal in weighted \(L_\mu^1[0,1]\) spaces. (English. Russian original) Zbl 0969.42014

J. Contemp. Math. Anal., Armen. Acad. Sci. 34, No. 2, 16-32 (1999); translation from Izv. Nats. Akad. Nauk Armen., Mat. 34, No. 2, 20-36 (1999).
MSC:  42C10
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Weyl multipliers for unconditional convergence of series by a general Franklin system. (English. Russian original) Zbl 0977.42012

J. Contemp. Math. Anal., Armen. Acad. Sci. 33, No. 6, 76-80 (1998); translation from Izv. Nats. Akad. Nauk Armen., Mat. 33, No. 6, 71-75 (1998).
MSC:  42C10 42A45 41A15
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On the convergence and Gibbs phenomenon of Franklin series. (English. Russian original) Zbl 0883.42020

J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 1, 51-72 (1996); translation from Izv. Nats. Akad. Nauk Armen., Mat. 31, No. 1, 61-84 (1996).
MSC:  42C10
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Convergence and Gibbs phenomenon for double Fourier-Walsh series of functions of bounded harmonic variation. (English. Russian original) Zbl 0859.42020

J. Contemp. Math. Anal., Armen. Acad. Sci. 30, No. 5, 30-46 (1995); translation from Izv. Nats. Akad. Nauk Armen., Mat. 30, No. 5, 41-59 (1995).
Reviewer: F.Móricz (Szeged)
MSC:  42C10 42B05
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On uniqueness of additive functions of dyadic cubes and series by Haar systems. (English. Russian original) Zbl 0860.42019

J. Contemp. Math. Anal., Armen. Acad. Sci. 30, No. 5, 2-13 (1995); translation from Izv. Nats. Akad. Nauk Armen., Mat. 30, No. 5, 7-21 (1995).
MSC:  42C10
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