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Found 2,957 Documents (Results 1–100)

On the basis property of the system of exponentials and trigonometric systems of sine and cosine functions in weighted grand Lebesgue spaces. (English. Russian original) Zbl 07908862

Mosc. Univ. Math. Bull. 79, No. 2, 85-97 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 2, 15-25 (2024).
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Integrability of series with respect to multiplicative systems and generalized derivatives. (English. Russian original) Zbl 07908231

Russ. Math. 68, No. 3, 1-10 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 3, 3-14 (2024).
MSC:  42A20 42Cxx 43Axx
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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).
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On the convergence Fourier series and greedy algorithm by multiplicative system. (English) Zbl 1540.42005

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).
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Estimate for the rate of uniform convergence of the Fourier series of a continuous periodic function of bounded \(p\)-variation. (English. Russian original) Zbl 07840463

Math. Notes 115, No. 2, 258-268 (2024); translation from Mat. Zametki 115, No. 2, 286-297 (2024).
MSC:  42A20 42A75
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On the embedding between the variable Lebesgue space \(L^{p(\cdot)}(\Omega)\) and the Orlicz space \(L(\log L)^{\alpha}(\Omega)\). arXiv:2406.03392

Preprint, arXiv:2406.03392 [math.CA] (2024).
MSC:  46E30 42A20
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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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Orthorecursive expansion with respect to modified Faber-Schauder system. (English. Russian original) Zbl 1532.42027

Mosc. Univ. Math. Bull. 78, No. 4, 170-178 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 4, 15-22 (2023).
MSC:  42C05 42C15 42A20
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On Fourier series in the multiple trigonometric system. (English. Russian original) Zbl 1535.42011

Russ. Math. Surv. 78, No. 4, 782-784 (2023); translation from Usp. Mat. Nauk 78, No. 4, 201-202 (2023).
MSC:  42B05 42A20
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\(L^1\) convergence of Fourier transforms. Previously published in the journal Analysis and Mathematical Physics, Special issue: Harmonic analysis and partial differential equations 10, No. 4 (2020), 11, No. 1–4 (2021) and 12, No. 2 (2022). (English) Zbl 1526.42007

Golberg, Anatoly (ed.) et al., Harmonic analysis and partial differential equations. In honor of Vladimir Maz’ya. Selected papers based on the presentations at the international conference, Holon, Israel, May 26–31, 2019. Cham: Birkhäuser. 239-249 (2023).
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On the absolute convergence of Fourier series of functions of two variables in the space \(C^{1,\omega}\). (English. Russian original) Zbl 1529.42008

Math. Notes 114, No. 4, 635-638 (2023); translation from Mat. Zametki 114, No. 4, 633-636 (2023).
MSC:  42B05 42A20 42B35
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On the issue of convergence and summability of general Fourier series. (English. Russian original) Zbl 1540.42004

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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On the absolute convergence of double Fourier series of uniform almost periodic functions in a uniform metric. (English. Russian original) Zbl 1522.42006

Russ. Math. 67, No. 4, 56-65 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 65-75 (2023).
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Refinement of the estimate for the rate of uniform convergence of the Fourier series of a continuous periodic function of bounded variation. (English. Russian original) Zbl 1514.42007

Math. Notes 113, No. 4, 525-537 (2023); translation from Mat. Zametki 113, No. 4, 544-559 (2023).
MSC:  42A20
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The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials. (English. Russian original) Zbl 1510.42006

Sib. Math. J. 64, No. 2, 338-346 (2023); translation from Sib. Mat. Zh. 64, No. 2, 339-349 (2023).
MSC:  42A20 46E35
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