Results 1 to 10 of about 155 (108)
Cauchy Integral and Boundary Value for Vector-Valued Tempered Distributions
Axioms, 2022 Using the historically general growth condition on scalar-valued analytic functions, which have tempered distributions as boundary values, we show that vector-valued analytic functions in tubes TC=Rn+iC obtain vector-valued tempered distributions as ...
Richard D Carmichael
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On the Support of Tempered Distributions [PDF]
Proceedings of the Edinburgh Mathematical Society, 2010 AbstractWe show that if the summability means in the Fourier inversion formula for a tempered distribution f ∈ S′(ℝn) converge to zero pointwise in an open set Ω, and if those means are locally bounded in L1(Ω), then Ω ⊂ ℝn\supp f. We prove this for several summability procedures, in particular for Abel summability, Cesàro summability and Gauss ...
Jasson Vindas, Ricardo Estrada
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Tempered Infinitely Divisible Distributions and Processes [PDF]
Theory of Probability and Its Applications, 2011 In this paper, we construct the new class of tempered infinitely divisible (TID) distributions. Taking into account the tempered stable distribution class, as introduced in the seminal work of Rosiński [Stochastic Process. Appl., 117 (2007), pp. 677–707], a modification of the tempering function allows one to obtain suitable properties.
Aaron Y. S. Kim, S T Rachev
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Approximations related to tempered stable distributions
Modern Stochastics: Theory and ApplicationsIn this article, we first obtain, for the Kolmogorov distance, an error bound between a tempered stable and a compound Poisson distribution (CPD) and also an error bound between a tempered stable and an α-stable distribution via Stein’s method.
Kalyan Barman +2 more
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Polynomial tempered distributions
Karpatsʹkì Matematičnì Publìkacìï, 2010 In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions ...
Sharyn S.V.
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An Algebraic Approach to Tempered Distributions
Journal of Mathematical Analysis and Applications, 2011 The space \(S'(\mathbb{R}^N)\) of tempered distributions is shown to be isomorphic to a space \(B= B(M,G)\) of pseudoquotients. The Fourier transform of \(F\in B\) is defined as \(\widehat F: B\to S'\). The inverse Fourier transform is proved to be a continuous mapping from \(S'\) to \(B\).
Piotr Mikusinski, Dennis Nemzer
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Tempered Stable Distributions [PDF]
SpringerBriefs in Mathematics, 2016 Michael Grabchak
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Multipliers of temperate distributions [PDF]
Mathematica Bohemica, 2005 Summary: Spaces \(\mathcal {O}_q\), \(q \in \mathbb N \), of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
Kučera, Jan, Bosch, Carlos
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The Tempered Discrete Linnik distribution [PDF]
Statistical Methods & Applications, 2017 18 pages, 4 ...
Barabesi, Lucio +2 more
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Automatic Tempered Posterior Distributions for Bayesian Inversion Problems
Mathematics, 2021 We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise are carried out using distinct (but interacting) methods.
Luca Martino +4 more
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