On the order of magnitude of Walsh-Fourier transform

Ghodadra, Bhikha Lila; Fülöp, Vanda

doi:10.21136/mb.2019.0075-18

Cited by 2 publications

(2 citation statements)

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“…In particular, Fourier transforms can accommodate with non-periodic functions, which Fourier series can not do. Recently, a number of results on the study of Fourier transforms and its applications have been contributed by Nicola and Trapasso [23], Urieles et al [24], Ghodadra and Fülöp [25], Bergold and Lasser [26] and Al-Lail and Qadir [27].…”

Section: Introductionmentioning

confidence: 99%

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Abdalla

2021

Preprint

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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 transforms and Fourier sine transforms of matrix functions involving generalized Bessel matrix polynomials. With the help of these transforms a number of results are considered which are extensions of the corresponding results in the standard cases. The results given here are of general character and can yield a number of (known and new) results in modern integral transforms.

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Section: Introductionmentioning

confidence: 99%

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Abdalla

2021

Preprint

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“…In particular, Fourier transform can accommodate aperiodic functions, which Fourier series cannot do. Recently, many results on Fourier transform and its applications have been contributed by Nicola and Trapasso [33], Urieles et al [34], Ghodadra and Fülöp [35], Bergold and Lasser [36], and Al-Lail and Qadir [37].…”

Section: Introductionmentioning

confidence: 99%

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Abdalla

Akel

2021

Adv Differ Equ

View full text Add to dashboard Cite

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 matrix functions involving generalized Bessel matrix polynomials. With the help of these transforms several results are obtained, which are extensions of the corresponding results in the standard cases. The results given here are of general character and can yield a number of (known and new) results in modern integral transforms.

show abstract

On the order of magnitude of Walsh-Fourier transform

Cited by 2 publications

References 0 publications

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

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