Results 1 to 10 of about 440,251 (233)
Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis [PDF]
, 2013 Recently the basic setting has been established for the development of quaternionic Hermitian Clifford analysis, a theory centred around the simultaneous null solutions, called q-Hermitian monogenic functions, of four Hermitian Dirac operators in a ...
Abreu-Blaya, Ricardo +4 more
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On Integral Transforms and Matrix Functions [PDF]
Abstract and Applied Analysis, 2011 The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.
Hassan Eltayeb +2 more
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Some notes on matrix transforms of summability domains of Cesàro matrices
Mathematical Modelling and Analysis, 2010 In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ ,
Ants Aasma
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Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent
Journal of Numerical Analysis and Approximation Theory, 2021 In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
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Matrix Summability of Walsh–Fourier Series
Mathematics, 2022 The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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New Orthogonal Transforms for Signal and Image Processing
Applied Sciences, 2021 In the paper, orthogonal transforms based on proposed symmetric, orthogonal matrices are created. These transforms can be considered as generalized Walsh–Hadamard Transforms.
Andrzej Dziech
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Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
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Complex and Hypercomplex Discrete Fourier Transforms Based on Matrix Exponential Form of Euler's Formula [PDF]
, 2011 We show that the discrete complex, and numerous hypercomplex, Fourier transforms defined and used so far by a number of researchers can be unified into a single framework based on a matrix exponential version of Euler's formula $e^{j\theta}=\cos\theta+j ...
Ell, Todd A., Sangwine, Stephen J.
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Equiconvergence of matrix transformations [PDF]
Proceedings of the American Mathematical Society, 1978 Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew’s result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.
openaire +2 more sources