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Upper bounds for Fourier transforms of exponential functions [PDF]

, 2012
Meaningful upper bounds for the Fourier transform of polynomial exponential functions are often hard to come by. Regarding Fourier transforms of rational exponential functions, which are of importance, for example in Campbell's sampling theorem, the ...
Knockaert, Luc
core   +1 more source

Fourier transforms of Lipschitz functions on the hyperbolic plane H2

International Journal of Mathematics and Mathematical Sciences, 1998
The purpose of the present work is to study the order of magnitude of the Fourier transforms fˆ(λ) for large λ of complex-valued functions f(z) sating certain Lipschitz conditions in the non-Euclidean hyperbolic plane H2.
M. S. Younis
doaj   +1 more source

Fourier transforms in generalized Fock spaces

International Journal of Mathematics and Mathematical Sciences, 1990
A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
doaj   +1 more source

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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P3DFFT: A Framework for Parallel Computations of Fourier Transforms in Three Dimensions [PDF]

SIAM Journal on Scientific Computing, 2012
Fourier and related transforms are a family of algorithms widely employed in diverse areas of computational science, notoriously difficult to scale on high-performance parallel computers with a large number of processing elements (cores).
D. Pekurovsky
semanticscholar   +1 more source

The Fourier transforms of Lipschitz functions on certain domains

International Journal of Mathematics and Mathematical Sciences, 1997
The Fourier transforms of certain Lipschitz functions are discussed and compared with the Hankel transforms of these functions and with their Fourier transforms on the Euclidean Cartan Motion group M(n), n≥2.
M. S. Younis
doaj   +1 more source

New generalized Fourier transforms and their applications to ordinary, partial and fractional differential equations

Miskolc Mathematical Notes
This article presents new generalized definitions of Fourier, Fourier sine, Fourier cosine, inverse Fourier, inverse Fourier sine and inverse Fourier cosine transforms, which encompass various studies on the generalized Fourier transforms in the existing
Enes Ata, İ. Onur Kıymaz
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Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms

Scientific Reports, 2021
The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
doaj   +1 more source

Doppler Spectrum Estimation by Ramanujan Fourier Transforms [PDF]

, 2009
The Doppler spectrum estimation of a weather radar signal in a classic way can be made by two methods, temporal one based in the autocorrelation of the successful signals, whereas the other one uses the estimation of the power spectral density PSD by ...
Bensebti, Messaoud, Lagha, Mohand
core   +4 more sources

Fourier Transforms of Finite Chirps

EURASIP Journal on Advances in Signal Processing, 2006
Chirps arise in many signal processing applications. While chirps have been extensively studied as functions over both the real line and the integers, less attention has been paid to the study of chirps over finite groups.
Fickus Matthew, Casazza Peter G
doaj   +1 more source