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Berezansky, Yu. M.; Kalyuzhnyi, A. A.
Two consequences of the associativity condition for a hypercomplex system with locally compact basis. (English) Zbl 1426.43005
Kuchment, Peter (ed.) et al., Functional analysis and geometry. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 733, 73-80 (2019).
MSC:  43A62
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\textit{Yu. M. Berezansky} and \textit{A. A. Kalyuzhnyi}, Contemp. Math. 733, 73--80 (2019; Zbl 1426.43005)
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Filippov, V. I.
On generalization of Haar system and other function systems in spaces \(E_\phi\). (English. Russian original) Zbl 1392.42026
Russ. Math. 62, No. 1, 76-81 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 87-92 (2018).
Reviewer: Oscar Blasco (Valencia)
MSC:  42C10 46E30 42C30
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\textit{V. I. Filippov}, Russ. Math. 62, No. 1, 76--81 (2018; Zbl 1392.42026); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 87--92 (2018)
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Volosivets, S. S.; Golubov, B. I.
Generalized absolute convergence of series of Fourier coefficients with respect to Haar type systems. (English. Russian original) Zbl 1396.42007
Russ. Math. 62, No. 1, 7-16 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 10-20 (2018).
Reviewer: Ferenc Weisz (Budapest)
MSC:  42C10
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\textit{S. S. Volosivets} and \textit{B. I. Golubov}, Russ. Math. 62, No. 1, 7--16 (2018; Zbl 1396.42007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 10--20 (2018)
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Bazarkhanov, Dauren B.
Hyperbolic cross approximation of some function classes with respect to multiple Haar system on the unit cube. (English) Zbl 06983762
Kalmenov, Tynysbek Sh. (ed.) et al., Functional analysis in interdisciplinary applications, Astana, Kazakhstan, October 2–5, 2017. Cham: Springer (ISBN 978-3-319-67052-2/hbk; 978-3-319-67053-9/ebook). Springer Proceedings in Mathematics & Statistics 216, 32-43 (2017).
MSC:  46E35 41A30
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\textit{D. B. Bazarkhanov}, in: Functional analysis in interdisciplinary applications, Astana, Kazakhstan, October 2--5, 2017. Cham: Springer. 32--43 (2017; Zbl 06983762)
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Meenakshi; Manchanda, P.
Construction and properties of Haar-Vilenkin wavelets. (English) Zbl 1396.42014
Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 193-206 (2017).
MSC:  42C40 42A38 42A55 42C15 43A70
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\textit{Meenakshi} and \textit{P. Manchanda}, in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 193--206 (2017; Zbl 1396.42014)
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Abu-Shammala, Wael; Shiu, Ji-Liang; Torchinsky, Alberto
Characterizations of the Hardy space \(H^1(\mathbb R)\) and BMO\((\mathbb R)\). (English) Zbl 1391.42022
Cwikel, Michael (ed.) et al., Functional analysis, harmonic analysis, and image processing: a collection of papers in honor of Björn Jawerth. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2836-5/pbk; 978-1-4704-4166-1/ebook). Contemporary Mathematics 693, 309-320 (2017).
Reviewer: Ferenc Weisz (Budapest)
MSC:  42B30 42B35
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\textit{W. Abu-Shammala} et al., Contemp. Math. 693, 309--320 (2017; Zbl 1391.42022)
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Gevorkyan, G. G.; Navasardyan, K. A.
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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\textit{G. G. Gevorkyan} and \textit{K. A. Navasardyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 3, 149--160 (2017; Zbl 1373.42031); translation from Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 3, 30--45 (2017)
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Andrianov, P. A.; Vinogradov, O. L.
On the constant and step in Jackson’s inequality for best approximations by trigonometric polynomials and by Haar polynomials. (English. Russian original) Zbl 1357.41009
Math. Notes 100, No. 3, 345-351 (2016); translation from Mat. Zametki 100, No. 3, 323-330 (2016).
MSC:  41A17 42A10
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\textit{P. A. Andrianov} and \textit{O. L. Vinogradov}, Math. Notes 100, No. 3, 345--351 (2016; Zbl 1357.41009); translation from Mat. Zametki 100, No. 3, 323--330 (2016)
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Stasyuk, Sergei A.
Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system. (English. Ukrainian original) Zbl 1342.41009
J. Math. Sci., New York 210, No. 1, 76-85 (2015); translation from Ukr. Mat. Visn. 12, No. 1, 97-109 (2015).
Reviewer: Devendra Kumar (Al-Baha)
MSC:  41A10 41A63 41A50
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\textit{S. A. Stasyuk}, J. Math. Sci., New York 210, No. 1, 76--85 (2015; Zbl 1342.41009); translation from Ukr. Mat. Visn. 12, No. 1, 97--109 (2015)
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Meleshkina, A. V.
Fourier coefficients of characteristic functions of intervals with respect to a complete orthonormal system bounded in \(L^p([0,1])\), \(2<p<\infty\). (English. Russian original) Zbl 1322.42034
Math. Notes 97, No. 4, 647-651 (2015); translation from Mat. Zametki 97, No. 4, 632-635 (2015).
Reviewer: Alexei Lukashov (Saratov)
MSC:  42C10
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\textit{A. V. Meleshkina}, Math. Notes 97, No. 4, 647--651 (2015; Zbl 1322.42034); translation from Mat. Zametki 97, No. 4, 632--635 (2015)
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Vakarchuk, S. B.; Shchitov, A. N.
Estimates for the error of approximation of functions in \(L_p^1\) by polynomials and partial sums of series in the Haar and Faber-Schauder systems. (English. Russian original) Zbl 1321.41022
Izv. Math. 79, No. 2, 257-287 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 45-76 (2015).
Reviewer: Vijay Gupta (New Delhi)
MSC:  41A25 41A30
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\textit{S. B. Vakarchuk} and \textit{A. N. Shchitov}, Izv. Math. 79, No. 2, 257--287 (2015; Zbl 1321.41022); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 45--76 (2015)
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Temlyakov, Vladimir
Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. (English) Zbl 1317.41019
Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0889-7/pbk; 978-3-0348-0890-3/ebook). xi, 261 p. (2015).
Reviewer: Sorin Gheorghe Gal (Oradea)
MSC:  41A65 42A10 41A25 46B20 65D15
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\textit{V. Temlyakov}, Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Basel: Birkhäuser/Springer (2015; Zbl 1317.41019)
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Kashin, B. S.; Meleshkina, A. V.
On \(n\)-term approximations with respect to frames bounded in \(L^p(0,1)\), \(2<p<\infty\). (English. Russian original) Zbl 1365.42024
Math. Notes 95, No. 6, 775-779 (2014); translation from Mat. Zametki 95, No. 6, 830-835 (2014); erratum ibid. 101, No. 4, 751 (2017).
Reviewer: Ashok Kumar Sah (Delhi)
MSC:  42C15
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\textit{B. S. Kashin} and \textit{A. V. Meleshkina}, Math. Notes 95, No. 6, 775--779 (2014; Zbl 1365.42024); translation from Mat. Zametki 95, No. 6, 830--835 (2014); erratum ibid. 101, No. 4, 751 (2014)
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