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Weighted Integrability of Multiple Multiplicative Fourier Transforms

Mathematical Notes, 2022
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Volosivets, S. S., Golubov, B. I.
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Integrability and Uniform Convergence of Multiplicative Transforms

Mathematical Notes, 2017
For 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, 2010
The 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, 2002
The 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 Informatics
Molecular 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 ...
Young-Han Son   +2 more
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On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms

gmj, 2009
Abstract 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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