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Probability & incompressible Navier-Stokes equations: An overview of some recent developments
Probability Surveys, 2005 doaj
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On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms
Georgian Mathematical Journal, 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 ...
Boris I Golubov
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Multiplicative Fourier Transform Algorithm
, 1997 The Cooley-Tukey FFT algorithm and its variants depend upon the existence of nontrivial divisors of the transform size N. These algorithms are called additive algorithms since they rely on the subgroups of the additive group structure of the indexing set.
Richard Tolimieri, Chao Lu, Myoung An
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Generalization of the multiplicative Fourier transform and its properties
Mathematical Notes, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S S Volosivets, Volosivets S S
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Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity
Mathematical NoteszbMATH Open Web Interface contents unavailable due to conflicting licenses.
S S Volosivets, Volosivets S S
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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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Applied Spectroscopy, 2009 Fourier transform infrared (FT-IR) spectroscopy is a powerful tool for characterizing biological tissues and organisms, but it is plagued by replicate variation of various sources. Here, a method for estimating and correcting unwanted replicate variation
Achim Kohler +2 more
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The multiple-parameter fractional Fourier transform
Science in China Series F: Information Sciences, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Lang +3 more
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Asymptotic Expansion of Multiple Fourier Transforms
SIAM Journal on Mathematical Analysis, 1979Asymptotic expansion of multi-dimensional Fourier transforms is derived. An explicit expression for the remainder term is also given, from which an error bound can readily be obtained.
Shivakumar, P. N., Wong, R.
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Multiplicity of fractional Fourier transforms and their relationships
IEEE Transactions on Signal Processing, 2000Summary: The multiplicity of the fractional Fourier transform (FRT), which is intrinsic in any fractional operator, has been claimed by several authors, but never systematically developed. The paper starts with a general FRT definition, based on eigenfunctions and eigenvalues of the ordinary Fourier transform, which allows us to generate all possible ...
CARIOLARO, GIANFRANCO +3 more
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