Results 31 to 40 of about 148,763 (276)
Axioms, 2023 This paper introduces two novel subclasses of the function class Σ for bi-univalent functions, leveraging generalized telephone numbers and Binomial series through convolution. The exploration is conducted within the domain of the open unit disk.
Hasan Bayram +3 more
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The Convolution Theorem Involving Windowed Free Metaplectic Transform
Fractal and Fractional, 2023 The convolution product is widely used in many fields, such as signal processing, numerical analysis and so on; however, the convolution theorem in the domain of the windowed metaplectic transformation (WFMT) has not been studied.
Manjun Cui, Zhichao Zhang
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Singular Measures and Convolution Operators [PDF]
Acta Mathematica Sinica, English Series, 2006 We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated to parallelotopes do not decrease with the dimension.
Aldaz, J.M., Varona, J.L.
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A β-Convolution Theorem Associated with the General Quantum Difference Operator
Journal of Function Spaces, 2022 In this paper, we prove some properties of the β-partial derivative. We define the β-convolution of two functions associated with the general quantum difference operator, Dβft=fβt−ft/βt−t; β is a strictly increasing continuous function.
Enas M. Shehata, Rasha M. El Zafarani
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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On the product formula and convolution associated with the index Whittaker transform
, 2019 We deduce a product formula for the Whittaker $W$ function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which is ...
Guerra, Manuel +2 more
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Periodic homogenization of non-local operators with a convolution type kernel [PDF]
, 2016 The paper deals with homogenization problem for a non-local linear operator with a kernel of convolution type in a medium with a periodic structure. We consider the natural diffusive scaling of this operator and study the limit behaviour of the rescaled ...
Piatnitski, Andrey, Zhizhina, Elena
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Convolution Integral Operators
Siberian Mathematical Journal, 2018 The author considers the space $L_2:=L_2(\mathbb{R}^N)$ consisting of the measurable and square-integrable functions on $\mathbb{R}^{N}$. As in the work by \textit{L. Hörmander} [Acta Math. 104, 93--140 (1960; Zbl 0093.11402)], the author considers the space $L_2^2$ being the set of all continuous linear operators in $L_2$ which commute with shifts ...
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Remote Sensing, 2017 This paper proposes a novel deep learning framework named bidirectional-convolutional long short term memory (Bi-CLSTM) network to automatically learn the spectral-spatial features from hyperspectral images (HSIs).
Qingshan Liu +3 more
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Harmonic analysis on Heisenberg--Clifford Lie supergroups
, 2011 We define a Fourier transform and a convolution product for functions and distributions on Heisenberg--Clifford Lie supergroups. The Fourier transform exchanges the convolution and a pointwise product, and is an intertwining operator for the left regular
Alldridge, Alexander +2 more
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