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Kiselev, Evgenii A.; Minin, Leonid A.; Novikov, Igor Ya.; Ushakov, Sergei N.

Localization of the window functions of dual and tight Gabor frames generated by the Gaussian function. (English. Russian original) Zbl 07891402

Sb. Math. 215, No. 3, 364-382 (2024); translation from Mat. Sb. 215, No. 3, 80-99 (2024).
MSC:  42C15 42C10 42C40 65T60 33C45
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\textit{E. A. Kiselev} et al., Sb. Math. 215, No. 3, 364--382 (2024; Zbl 07891402); translation from Mat. Sb. 215, No. 3, 80--99 (2024)
Full Text: DOI MNR
Galoyan, L. N.; Grigoryan, M. G.

Functions almost universal in the sense of signs with respect to the trigonometric system and the Walsh system. (English. Russian original) Zbl 07885102

Math. Notes 115, No. 6, 1030-1034 (2024); translation from Mat. Zametki 115, No. 6, 935-939 (2024).
Reviewer: Rostom Getsadze (Uppsala)
MSC:  42A20 42C10 42B05 42A16
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\textit{L. N. Galoyan} and \textit{M. G. Grigoryan}, Math. Notes 115, No. 6, 1030--1034 (2024; Zbl 07885102); translation from Mat. Zametki 115, No. 6, 935--939 (2024)
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Magomed-Kasumov, Magomedrasul G.; Shakh-Emirov, Tadgidin N.; Gadzhimirzaev, Ramis M.

Basis property of the Legendre polynomials in variable exponent Lebesgue spaces. (English. Russian original) Zbl 07878638

Sb. Math. 215, No. 2, 234-249 (2024); translation from Mat. Sb. 215, No. 2, 103-119 (2024).
MSC:  42C10 46E30 33C45
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\textit{M. G. Magomed-Kasumov} et al., Sb. Math. 215, No. 2, 234--249 (2024; Zbl 07878638); translation from Mat. Sb. 215, No. 2, 103--119 (2024)
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Butzer, Paul L.; Pichler, Franz; Schipp, Ferenc; Stanković, Radomir S.; Stens, Rudolf L.

2023 – a twofold commemoration: the 100Th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh’s death. (English) Zbl 07860844

Sampl. Theory Signal Process. Data Anal. 22, No. 1, Paper No. 5, 20 p. (2024).
MSC:  01A70 42C10 28A15 94A05 94A12 94A15
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\textit{P. L. Butzer} et al., Sampl. Theory Signal Process. Data Anal. 22, No. 1, Paper No. 5, 20 p. (2024; Zbl 07860844)
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Persson, L. -E.; Schipp, F.; Tephnadze, G.; Weisz, F.

A note on Carleson-hunt type theorems for Vilenkin-Fourier series. (English) Zbl 07857660

Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 157-167 (2024).
Reviewer: Rostom Getsadze (Uppsala)
MSC:  42C10 42B25
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\textit{L. E. Persson} et al., Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 157--167 (2024; Zbl 07857660)
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Grigoryan, M. G.; Grigoryan, T. M.; Simonyan, L. S.

On the convergence Fourier series and greedy algorithm by multiplicative system. (English) Zbl 07857656

Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 117-123 (2024).
MSC:  42A20 42A16 42A10 42C10
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\textit{M. G. Grigoryan} et al., Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 117--123 (2024; Zbl 07857656)
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Potseiko, P. G.; Rovba, E. A.

The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties. (English. Russian original) Zbl 07804697

Sib. Math. J. 65, No. 1, 118-138 (2024); translation from Sib. Mat. Zh. 65, No. 1, 140-163 (2024).
MSC:  42A10 42C10 42A38
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\textit{P. G. Potseiko} and \textit{E. A. Rovba}, Sib. Math. J. 65, No. 1, 118--138 (2024; Zbl 07804697); translation from Sib. Mat. Zh. 65, No. 1, 140--163 (2024)
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Bachmayr, Markus; Eigel, Martin; Eisenmann, Henrik; Voulis, Igor

A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields. arXiv:2403.13770

Preprint, arXiv:2403.13770 [math.NA] (2024).
MSC:  35J25 35R60 41A10 41A63 42C10 65N50 65N30
BibTeX Cite
\textit{M. Bachmayr} et al., ``A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields'', Preprint, arXiv:2403.13770 [math.NA] (2024)
Full Text: arXiv
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Domelevo, Komla; Durcik, Polona; Fragkiadaki, Valentia; Klein, Ohad; Silva, Diogo Oliveira e; Slavíková, Lenka; Wróbel, Błażej

Dimension-free inequalities for low and high degree functions on the Hamming cube. arXiv:2401.07699

Preprint, arXiv:2401.07699 [math.FA] (2024).
MSC:  42C10 41A17 41A63 47A60
BibTeX Cite
\textit{K. Domelevo} et al., ``Dimension-free inequalities for low and high degree functions on the Hamming cube'', Preprint, arXiv:2401.07699 [math.FA] (2024)
Full Text: arXiv
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Biswas, Chetna; Das, Subir; Singh, Anup; Altenbach, Holm

Solution of variable-order partial integro-differential equation using Legendre wavelet approximation and operational matrices. (English) Zbl 1535.65217

ZAMM, Z. Angew. Math. Mech. 103, No. 2, Article ID e202200222, 16 p. (2023).
MSC:  65M70 65T60 65D32 42C10 65M22 35R09 45K05 26A33 35R11 76S05 86A05
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\textit{C. Biswas} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 2, Article ID e202200222, 16 p. (2023; Zbl 1535.65217)
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Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S.

Fourier series for fractals in two dimensions. (English) Zbl 1532.42034

Ruiz, Patricia Alonso (ed.) et al., From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 183-229 (2023).
MSC:  42C10 28A80 42C05
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\textit{J. E. Herr} et al., in: From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. 183--229 (2023; Zbl 1532.42034)
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Sargsyan, S. A.; Galoyan, L. N.

On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system. (English. Russian original) Zbl 1535.42048

J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 5, 370-383 (2023); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 5, 85-101 (2023).
MSC:  42C10 42A20 43A15
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\textit{S. A. Sargsyan} and \textit{L. N. Galoyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 5, 370--383 (2023; Zbl 1535.42048); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 5, 85--101 (2023)
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