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Found 45 Documents (Results 1–45)

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
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Unconditional convergence of general Fourier series. (English. Russian original) Zbl 1511.42026

Proc. Steklov Inst. Math. 319, 74-84 (2022); translation from Tr. Mat. Inst. Steklova 319, 83-93 (2022).
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On the representation of measurable functions by absolutely convergent orthogonal spline series. (English. Russian original) Zbl 1511.42025

Proc. Steklov Inst. Math. 319, 64-73 (2022); translation from Tr. Mat. Inst. Steklova 319, 73-82 (2022).
MSC:  42C10 42A20 41A15
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Bounds of the Nikol’skii polynomial constants in \(L^p\) with Gegenbauer weight. (English. Russian original) Zbl 1494.41005

Proc. Steklov Inst. Math. 315, Suppl. 1, S117-S127 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 4, 126-137 (2020).
MSC:  41A17 33C45
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Discrete orthogonal transforms on multisets associated with complete sequences. (English. Russian original) Zbl 1481.11019

Proc. Steklov Inst. Math. 313, Suppl. 1, S33-S39 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 3, 249-257 (2020).
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Inequalities for orthogonal series and a strengthening of the Carleman-Olevskii theorem for complete orthonormal systems. (English. Russian original) Zbl 1467.42043

Proc. Steklov Inst. Math. 312, 104-123 (2021); translation from Tr. Mat. Inst. Steklova 312, 111-130 (2021).
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Weakly lacunary orthogonal systems and properties of the maximal partial sum operator for subsystems. (English. Russian original) Zbl 1457.42015

Proc. Steklov Inst. Math. 311, 152-170 (2020); translation from Tr. Mat. Inst. Steklova 311, 164-182 (2020).
MSC:  42A55 42C10
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Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. (English. Russian original) Zbl 1458.39015

Proc. Steklov Inst. Math. 311, 1-9 (2020); translation from Tr. Mat. Inst. Steklova 311, 5-13 (2020).
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On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system. (English. Russian original) Zbl 1405.30038

Proc. Steklov Inst. Math. 301, 245-261 (2018); translation from Tr. Mat. Inst. Steklova 301, 259-275 (2018).
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V. A. Steklov’s problem of estimating the growth of orthogonal polynomials. (English. Russian original) Zbl 1342.33016

Proc. Steklov Inst. Math. 289, 72-95 (2015); translation from Tr. Mat. Inst. Steklova 289, 83-106 (2015).
MSC:  33C45 42C05
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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).
MSC:  42C10 40F99
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A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums. (English. Russian original) Zbl 1304.42065

Proc. Steklov Inst. Math. 285, 34-55 (2014); translation from Tr. Mat. Inst. Steklova 285, 41-63 (2014).
MSC:  42C10 42B05
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Some classes of functions and Fourier coefficients with respect to general orthonormal systems. (English. Russian original) Zbl 1293.42029

Proc. Steklov Inst. Math. 280, 156-168 (2013); translation from Tr. Mat. Inst. Steklova 280, 162-174 (2013).
MSC:  42C10 42A16 42C25
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Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. (English. Russian original) Zbl 1317.33004

Proc. Steklov Inst. Math. 272, Suppl. 2, S168-S173 (2011); translation from Sovrem. Probl. Mat. 9, 55-62 (2007).
MSC:  33C45 41A60 30E10
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Four-term recurrence relations for \(\gamma\)-forms. (English. Russian original) Zbl 1317.33008

Proc. Steklov Inst. Math. 272, Suppl. 2, S157-S161 (2011); translation from Sovrem. Probl. Mat. 9, 37-43 (2007).
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Recurrence relations with rational coefficients for multiple orthogonal polynomials determined by the Rodrigues formula. (English. Russian original) Zbl 1308.33006

Proc. Steklov Inst. Math. 272, Suppl. 2, S152-S156 (2011); translation from Sovrem. Probl. Mat. 9, 27-35 (2007).
MSC:  33C45 41A21 42C05
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Asymptotic behavior of the maximal zero of a polynomial orthogonal on a segment with a nonclassical weight. (English. Russian original) Zbl 1312.33023

Proc. Steklov Inst. Math. 264, Suppl. 1, S39-S43 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 38-42 (2008).
MSC:  33C45
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Pointwise estimates of polynomials orthogonal on a circle with respect to a weight not belonging to the spaces \(L^{r} (r > 1)\). (English. Russian original) Zbl 1235.42019

Proc. Steklov Inst. Math. 266, Suppl. 1 (2009, Suppl. 2), 64-77 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009).
MSC:  42C05
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