Results 221 to 230 of about 71,460,248 (256)

Composition method for constructing convolutions for integral transforms

Integral Transforms and Special Functions, 1996
The composition method for constructing convolutions for integral transforms are given. Several original convolutions are described for transforms of Fourier type.
V.A. Kakichev, Nguyen Xuan Thao, Nguyen Thanh Hai   +2 more
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THE DISCRETE FOURIER TRANSFORM AND CYCLIC CONVOLUTION ON INTEGRAL LATTICES

Mathematics of the USSR-Sbornik, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized convolutions for the Fourier integral transforms and applications

2008
Summary: This paper provides some generalized convolutions for the Fourier integral transforms and treats the applications. Namely, there are six generalized convolutions with weight-function for the Fourier integral transforms. As for applications, the normed ring structures on \(L^1(\mathbb{R}^d)\) are constructed, and the explicit solution in \(L^1(\
Bui Thi Giang, Nguyen Minh Tuan
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Vector space transformations used in lieu of the convolution integral†

International Journal of Control, 1970
The purpose of this paper is to present some detailed results which enable the solution of a systom equation by means of transforms instead of the convolution integral. Some common control forces are studied and the results summarized. Application of several control forces and delayed control forces are included in this study.
EARL D. EYMAN, DAVID E. CARTIER
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Images Classification Integrating Transformer with Convolutional Neural Network

Advances in Engineering Technology Research, 2023
Convolutional neural networks (CNN) are one of the most widely used deep learning methods in computer vision, which can effectively extract local spatial information from images, but lack global understanding and dependency modelling of image features. As a result, contextual information cannot be fully utilized by the network.
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Integrating Convolution and Transformer for Enhanced Diabetic Retinopathy Detection

International Journal of Bio-Inspired Computation, 2023
Xinrong Cao, Jie Lin, Xiaozhi Gao 0003, Zuoyong Li   +3 more
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A class of integral transforms related to the fourier cosine convolution

Integral Transforms and Special Functions, 2005
In this work the class of integral transforms related to the Fourier cosine convolution is studied on L 2(R +). Watson’s type theorem is proved. The concept of the symmetric Fourier cosine kernel with a characteristic polynomial is defined. Plancherel’s theorem is formulated. The integral transforms with unsymmetric kernels are studied.
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Regularized inversion of integral transformations of Mellin convolution type

Inverse Problems, 2003
The author describes a new method for constructing regularizing operators for the inversion of real-valued integral transforms. Using the analytical link between regularized and exact inverse transforms, the author analyses the general features and limitation of regularized numerical inversion of integral transforms, and builds a one-parametric set of ...
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Laplace transform and convolution integral for higher-order systems

International Journal of Electronics, 1970
The Laplace transform and convolution integral are well known for their assistance in providing frequency or time responses when using conventional signals and networks. The correct interpretation of these integrals is usually left to the individual but this note shows how both integrals are related and can be used to cover special three-dimensional ...
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Integral transforms of the Mellin convolution type and their generating operators

Integral Transforms and Special Functions, 2008
In this article, the theory of the integral transforms of the Mellin convolution type is presented. The classical integral Laplace and Mellin transforms and their important properties, as well as a general schema for the applications of the integral transforms are first discussed.
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