Results 51 to 60 of about 242,792 (179)
Improved Homomorphic Discrete Fourier Transforms and FHE Bootstrapping
IEEE Access, 2019 Homomorphic encryption (HE), which enables computation on ciphertexts without any leakage, rise as a most promising solution for privacy-preserving data processing, including secure machine learning and secure out-sourcing computation.
Kyoohyung Han +2 more
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Fourier-Mukai transforms for coherent systems on elliptic curves
, 2006 We determine all the Fourier-Mukai transforms for coherent systems consisting of a vector bundle over an elliptic curve and a subspace of its global sections, showing that these transforms are indexed by the positive integers.
Prieto, Carlos Tejero +1 more
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Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
International Journal of Mathematics and Mathematical Sciences, 1992 In [4] we proved some theorems on the Fourier Transforms of functions satisfying conditions related to the Dini-Lipschitz conditions on the n-dimensional Euclidean space Rn and the torus group Tn. In this paper we extend those theorems for functions with
M. S. Younis
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
Acta Polytechnica, 2016 The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
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Four Particular Cases of the Fourier Transform
Mathematics, 2018 In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
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Fourier transform mass spectrometry
Molecular & Cellular Proteomics, 2011 This article provides an introduction to Fourier transform-based mass spectrometry. The key performance characteristics of Fourier transform-based mass spectrometry, mass accuracy and resolution, are presented in the view of how they impact the interpretation of measurements in proteomic applications. The theory and principles of operation of two types
Michaela, Scigelova +3 more
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Assessing Landscape Fragmentation Dynamics with Fourier Transforms
Journal of Landscape EcologyQuantifying landscape fragmentation is crucial for understanding its impact on biodiversity. Within landscape ecology, there is an ongoing effort to create metrics that systematically characterize landscape patterns and predict their effects on various ...
Rahimi Ehsan, Dong Pinliang
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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
Fractal and FractionalThe fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy +2 more
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Wavelet transforms on Gelfand-Shilov spaces and concrete examples
Journal of Inequalities and Applications, 2017 In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the ...
Naohiro Fukuda +2 more
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A 2D Fourier tool for the analysis of photo-elastic effect in large granular assemblies
EPJ Web of Conferences, 2017 Fourier transforms are the basic tool in constructing different types of image filters, mainly those reducing optical noise. Some DIC or PIV software also uses frequency space to obtain displacement fields from a series of digital images of a deforming ...
Leśniewska Danuta
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