We prove equiconvergence of the Bochner-Riesz means of the Fourier series and integral of distributions with compact support from the Liouville spaces. Convergence of the Fourier series and integral ...
The Fourier integral representations for the Bloch-Nordsieck distribution ρ(ω) and its derivatives ϱ(n)(ω)(n=1,2,...) are not Cauchy convergent. The theory therefore contains ambiguities. Consequently ...
The tsquad package provides general purpose integration routines. For simple integration tasks this package is as good as the standard routines available e.g. by scipy. Although, the tsquad routines ...
ABSTRACT: The exponential transform or modified Fourier transform is an integral transform where the Kernel function is K a ( ξ,t )= a −iξt , and a∈] 1,+∞ [ . This is a general case of the Fourier ...
In this paper, we study the L1-boundedness of Fourier integral operator T_{\phi,a} with rough symbol a\in L^{\infty}S^{m}_{\rho} and a new class of rough phase \phi. In this class, we extend the ...
Abstract: This work presents a novel numerical inverse Fourier transform for electromagnetic transient analysis emphasizing the lightning phenomena. The inverse Fourier integral is separated into ...
Abstract: Efficiently implementing nonlinear Bayesian estimators is still not a fully solved problem. For practical applications, a trade-off between estimation quality and demand on computational ...
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