Sectorial Extensions, via Laplace Transforms, in Ultraholomorphic Classes Defined by Weight Functions
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DOI: 10.1007/s00025-018-0951-1
Abstract: We prove several extension theorems for Roumieu ultraholomorphic classes of functions in sectors of the Riemann surface of the logarithm which are defined by means of a weight function or weight matrix. Our main aim… read more here.
Keywords: via laplace; laplace; ultraholomorphic classes; laplace transforms ... See more keywords
Discrete Fourier–Laplace Transforms of Lipschitz Functions in the Spaces $$S^{(p,q)}(\sigma ^{m-1})$$
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DOI: 10.1007/s11785-021-01117-3
Abstract: In this paper, we extend the classical Titchmarsh theorem on the image under the discrete Fourier–Laplace transform of a set of functions satisfying a generalized Lipschitz and Dini–Lipschitz condition in the space $$S^{(p,q)}(\sigma ^{m-1})$$ ,… read more here.
Keywords: fourier laplace; laplace transforms; transforms lipschitz; discrete fourier ... See more keywords
On a Space of Functions with Entire Laplace Transforms and its Connection with the Optimality of the Ingham-Karamata Theorem
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DOI: 10.1007/s11785-025-01704-8
Abstract: We study approximation properties of the Fréchet space of all continuously differentiable functions τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document} such that τ′(x)=o(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}… read more here.
Keywords: theorem; space; document; laplace transforms ... See more keywords
Laplace transforms and valuations
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DOI: 10.1016/j.jfa.2016.09.011
Abstract: It is proved that the classical Laplace transform is a continuous valuation which is positively GL(n) covariant and logarithmic translation covariant. Conversely, these properties turn out to be sufficient to characterize this transform. read more here.
Keywords: laplace transforms; transforms valuations;
Fitting Data Containing Multiple Exponentials Using Functionals Derived from Finite Laplace Transforms of Time Moments of the Data
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DOI: 10.1080/00295450.2017.1299494
Abstract: Abstract Functionals derived from the finite Laplace transforms of time moments of experimental data are used to fit these data to exponential functions. The functionals provide linear relationships for individually determining parameter values successively. This… read more here.
Keywords: derived finite; finite laplace; functionals derived; time ... See more keywords
Regularized Kaczmarz Solvers for Robust Inverse Laplace Transforms
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DOI: 10.3390/math13132166
Abstract: Inverse Laplace transforms (ILTs) are fundamental to a wide range of scientific and engineering applications—from diffusion NMR spectroscopy to medical imaging—yet their numerical inversion remains severely ill-posed, particularly in the presence of noise or sparse… read more here.
Keywords: kaczmarz solvers; laplace transforms; wasserstein kaczmarz; inverse laplace ... See more keywords