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Asymptotic properties of convolution products of sequences

, 1974
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Wavelet convolution product involving fractional fourier transform

Fractional Calculus and Applied Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Upadhyay, J. Dubey
semanticscholar   +3 more sources

The Wavelet Convolution Product

, 2009
In this chapter we consider the n-dimensional wavelet transform defined by (3.1.1) and its variant (3.1.2). Using representation (3.1.2) a convolution associated with the wavelet transform is defined in terms of ordinary (Fourier) convolution (1.3.4.).
R. Pathak
semanticscholar   +2 more sources

Convolution and product theorems for the quadratic-phase Fourier transform

Georgian Mathematical Journal, 2022
In this paper, we establish the convolution and product theorems for the quadratic-phase Fourier transform (QPFT) and also deduce the convolution theorem associated with generalized translation.
Pratap Bhanu Sharma, A. Prasad
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Fractional Covers for Convolution Products

Results in Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harrison, K. J., Ward, J. A.
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The Gaussian-Lorentzian Sum, Product, and Convolution (Voigt) functions in the context of peak fitting X-ray photoelectron spectroscopy (XPS) narrow scans

Applications of Surface Science, 2018
X-ray photoelectron spectroscopy (XPS) is arguably the most important vacuum technique for surface chemical analysis, and peak fitting is an indispensable part of XPS data analysis.
Varun Jain, M. Biesinger, M. Linford
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Duhamel convolution product in the setting of quantum calculus

, 2016
In this paper, we introduce the notions of the q-Duhamel product and q-integration operator. We prove that the classical Wiener algebra $$W_+(\mathbb {D})$$W+(D) of all analytic functions on the unit disc $$\mathbb {D}$$D of the complex plane $$\mathbb ...
F. Bouzeffour, M. Garayev
semanticscholar   +1 more source

Tensor Convolution-Like Low-Rank Dictionary for High-Dimensional Image Representation

IEEE transactions on circuits and systems for video technology (Print)
High-dimensional image representation is a challenging task since data has the intrinsic low-dimensional and shift-invariant characteristics. Currently, popular methods, such as tensor-Singular Value Decomposition (t-SVD), have limited ability in ...
Jize Xue, Yongqiang Zhao, Tongle Wu, Jonathan Cheung-Wai Chan   +3 more
semanticscholar   +1 more source