Cover Image

Efficient application of the Voigt functions in the Fourier transform

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Abrarov, Sanjar M., Siddiqui, Rehan, Jagpal, Rajinder K., Quine, Brendan M.
Format:	Preprint
Published:	2025
Subjects:	General Mathematics 42A38, 65D15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An iterative method for computing $π$ by argument reduction of the tangent function
by: Abrarov, Sanjar M., et al.
Published: (2023)

A proof of irrationality of $π$ based on the nested radicals with roots of $2$
by: Abrarov, Sanjar M., et al.
Published: (2025)

Application of a new iterative formula for computing $π$ and nested radicals with roots of $2$
by: Abrarov, Sanjar M., et al.
Published: (2025)

A rational approximation of the two-term Machin-like formula for $π$
by: Abrarov, Sanjar M., et al.
Published: (2024)

Fourier transform of composed functions
by: Venhoek, David
Published: (2024)

The Resonance Bias Framework: Resonance, Structure, and Arithmetic in Quadrature Error
by: Cook, William
Published: (2025)

An application of Gelfand's formula in approximating the roots of polynomials
by: Hall, Frank J., et al.
Published: (2025)

Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $\mathbb{R}$
by: Ehler, Martin, et al.
Published: (2024)

The system of translates and the special affine Fourier transform
by: Biswas, Md Hasan Ali, et al.
Published: (2022)

On the Failure of Step-Response Tests to Certify Admissibility of Spectral Averaging Operators
by: Grieshop, Justin
Published: (2026)

Explicit constants for Fejer-type smoothing on finite cyclic groups
by: Grieshop, Justin
Published: (2025)

All Zeros of the Riemann Zeta Function in the Critical Strip are Located on the Critical Line and are Simple
by: Stenger, Frank
Published: (2017)

Decay of Fourier transforms and analytic continuation of power-constructible functions
by: Comte, Georges, et al.
Published: (2025)

Fundamental inequalities for the iterated Fourier-cosine convolution with Gaussian weight and its application
by: Phuong, Nguyen Thi Hong, et al.
Published: (2024)

Grüss inequalities for the $β-$integral associated with the general quantum operator
by: Cardoso, J. L., et al.
Published: (2024)

On a dense set of functions determined by sampled Gabor magnitude
by: Wellershoff, Matthias
Published: (2025)

Weighted norm inequalities for integral transforms with splitting kernels
by: Pinos, Alberto Debernardi
Published: (2023)

Single- and Multi-Level Fourier-RQMC Methods for Multivariate Shortfall Risk
by: Hammouda, Chiheb Ben, et al.
Published: (2026)

Real and complex spherical designs and their Gramian
by: Waldron, Shayne
Published: (2025)

Recovery of rational functions via Hankel pencil method and sensitivities of the poles
by: Derevianko, Nadiia
Published: (2024)

New identities for the Laplace, Glasser, and Widder potential transforms and their applications
by: Abdulsalam, Abdulhafeez A., et al.
Published: (2024)

Reconstruction Plans and Efficient Rank-1 Lattice Construction for Chebyshev Expansions Over Lower Sets
by: Moussa, Abdelqoddous, et al.
Published: (2024)

On phase retrieval for continuous and discrete Fourier transforms
by: Novikov, Roman, et al.
Published: (2026)

The Riemann $Ξ$-function from primitive Markovian cycles I: A canonical construction
by: Watson, Douglas F.
Published: (2026)

A modified FC-Gram approximation algorithm with provable error bounds
by: Anand, Akash, et al.
Published: (2024)

Multivariate Generalized Hermite Subdivision Schemes
by: Han, Bin
Published: (2021)

Quantized Orbital Angular Momentum from Discrete Chaotic Phase Surfaces
by: Moriya, Netzer
Published: (2025)

Parameter estimation for multivariate exponential sums via iterative rational approximation
by: Derevianko, Nadiia, et al.
Published: (2025)

Spectral Analysis of Weighted Weyl Fractional Operators: Aging, Infinite Memory, and the Amnesia Effect
by: Dorrego, Gustavo
Published: (2026)

A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
by: Gupta, Bivek, et al.
Published: (2024)

Interpolatory Dual Framelets with a General Dilation Matrix
by: Lu, Ran
Published: (2024)

Construction of Optimal Algorithms for Function Approximation in Gaussian Sobolev Spaces
by: Suzuki, Yuya, et al.
Published: (2024)

The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving $\,_{2}F_{3}$ hypergeometric functions that arise from them
by: Straton, Jack C.
Published: (2023)

Differential approximation of the Gaussian by short cosine sums with exponential error decay
by: Derevianko, Nadiia, et al.
Published: (2023)

Analog version of Hausdorff--Young's theorem for quadratic Fourier transforms and boundedness of oscillatory integral operator
by: Tuan, Trinh, et al.
Published: (2024)

Multiscale analysis via pseudo-reversing and applications to manifold-valued sequences
by: Mattar, Wael, et al.
Published: (2023)

Fourier transforms of bounded functions
by: Talvila, Erik
Published: (2026)

Point-to-ellipse Fourier series
by: Nilsson, John-Olof
Published: (2025)

X-ray multiple-beam (n-baem) dynamical diffraction theories, numerical methods to solve them and experimental verification by using the synchrotron X-rays
by: Okitsu, Kouhei
Published: (2024)

Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
by: Chiwere, Michael, et al.
Published: (2026)