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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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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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Multiple SAR data integration using wavelet transform
Proceedings of IGARSS '93 - IEEE International Geoscience and Remote Sensing Symposium, 2002The paper investigates techniques of SAR image integration to reduce SAR look direction bias for geological application. Two approaches to SAR data integration; 1) the principal component analysis (PCA), and 2) the wavelet transform integration technique are investigated and tested.
J.S. Won, W.M. Moon, H.R. Yoo
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FTMMR: Fusion Transformer for Integrating Multiple Molecular Representations
IEEE Journal of Biomedical and Health InformaticsMolecular property prediction has gained substantial attention due to its potential for various bio-chemical applications. Numerous attempts have been made to enhance the performance by combining multiple molecular representations (1D, 2D, and 3D). However, most prior works only merged a limited number of representations or tried to embed multiple ...
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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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