Results 1 to 10 of about 5,018 (278)
Mathematics, 2023 In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and ...
Altaf A. Bhat +3 more
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General convolutions of integral transforms and their application to ode and PDE problems
Mathematical Modelling and Analysis, 2006 The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties: where Hv[f] (x) is the Hankel transform. Conditions
L. E. Britvina
semanticscholar +4 more sources
Demonstratio MathematicaAbstract This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities which, in a certain sense, can be seen as the exceptional Young inequalities.
Nguyen Minh Tuan
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A new convolution operator for the linear canonical transform with applications [PDF]
, 2021 The linear canonical transform plays an important role in engineering and many applied fields, as it is the case of optics and signal processing. In this paper, a new convolution for the linear canonical transform is proposed and a corresponding ...
Castro, Luís P. +2 more
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On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem [PDF]
Advances in Mathematics, 2019 In this paper, we show that if we have a sequence of Hadamard triples $\{(N_n,B_n,L_n)\}$ with $B_n\subset \{0,1,..,N_n-1\}$ for $n=1,2,...$, except an extreme case, then the associated Cantor-Moran measure $$ \begin{aligned} \mu = \mu(N_n,B_n ...
Li-Xiang An, Xiaoye Fu, Chun-Kit Lai
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Integral Transforms Characterized by Convolution
Results in Mathematics, 2023 AbstractInspired by Jaming’s characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which characterizes the Fourier transform on any locally compact abelian group. In particular, our characterization encompasses Jaming’s results.
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A Phase Field Model for Continuous Clustering on Vector Fields [PDF]
, 2001 A new method for the simplification of flow fields is presented. It is based on continuous clustering. A well-known physical clustering model, the Cahn Hilliard model, which describes phase separation, is modified to reflect the properties of the data to
Preusser, T +23 more
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Solving singular convolution equations using the inverse fast Fourier transform [PDF]
, 2012 summary:The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle.
Zizler, Václav +4 more
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Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Integral transforms of the formf(x)↦g(x)=(1−d2/dx2){∫0∞k1(y)[f(|x+y−1|)+f(|x−y+1|)−f(x+y+1)−f(|x−y−1|)]dy+∫0∞k2(y)[f(x+y)+f(|x−y|)]dy}fromLp(ℝ+)toLq(ℝ+),(1≤p≤2,p−1+q−1=1)are studied. Watson's and Plancherel's theorems are obtained.
Xuan Thao Nguyen +2 more
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, 2017 We give the exact distribution of the average of n independent beta random variables weighted by the selected cuts of (0; 1) by the order statistics of a random sample of size n−1 from the uniform distribution U(0; 1), for each n.
R. Roozegar, Abouzar Bazyari
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