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Weighted Integrability of Multiple Multiplicative Fourier Transforms
Mathematical Notes, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volosivets, S. S., Golubov, B. I.
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Integrability and Uniform Convergence of Multiplicative Transforms
Mathematical Notes, 2017For multiplicative Fourier transforms the analogues of the results of the papers (Dyachenko et al., J. Math. Anal. Appl., 372:328–338, 2010; Sampson and Tuy, Pac. J. Math., 75:519–537, 1978; Moricz, Stud. Math., 199:199–205, 2010; Liflyand and Tikhonov, C.R. Acad. Sci. Paris, Ser.
B. I. Golubov, S. S. Volosivets
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On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms
gmj, 2009Abstract Analogues of two Hardy–Littlewood theorems are proved for a multiplicative Fourier transform. A Szasz type condition for a multiplicative Fourier transform is given and its nonimprovability is proved. Besides, an analogue of Ul'yanov's theorem on the uniform convergence of a trigonometric series and an analogue of Konyuškov ...
Golubov, Boris I., Volosivets, Sergey S.
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Weighted integrability of multiplicative Fourier transforms
Proceedings of the Steklov Institute of Mathematics, 2010The paper extends some results concerning the classical Fourier transform to the multiplicative Fourier transform (MFT) . In particular, the authors give conditions which ensure that a contraction of an MFT is also an MFT, criteria for determining whether a sufficiently smooth function with nonnegative MFT belongs to \(H^\omega\) or \(h^\omega\) (where
Volosivets, S. S., Golubov, B. I.
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Coordinate Transformation Method for the Extremization of Multiple Integrals
Journal of Optimization Theory and Applications, 2005In this paper, we generalize a coordinate transformation method, due to Leitmann (Ref. 1), for free problems in the calculus of variations to analogous problems with multiple integrals.
D. A. Carlson, G. Leitmann
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