Results 1 to 10 of about 5,565 (215)
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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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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PAC-Bayes Bounds on Variational Tempered Posteriors for Markov Models
Entropy, 2021 Datasets displaying temporal dependencies abound in science and engineering applications, with Markov models representing a simplified and popular view of the temporal dependence structure.
Imon Banerjee +2 more
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Polynomial tempered distributions
Karpatsʹkì Matematičnì Publìkacìï, 2013 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 ...
S. V. Sharyn
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Vector-Valued Analytic Functions Having Vector-Valued Tempered Distributions as Boundary Values
Axioms, 2023 Vector-valued analytic functions in Cn, which are known to have vector-valued tempered distributional boundary values, are shown to be in the Hardy space Hp,1 ...
Richard D. Carmichael
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Four Particular Cases of the Fourier Transform
Mathematics, 2018 In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
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A note on the convolution and the product in D′ and S′
International Journal of Mathematics and Mathematical Sciences, 1991 Examples of tempered distibutions are shown such that the convolution and product exist in D′ and are tempered distributions, but they do not exist in S′.
A. Kamiński, R. Rudnicki
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Feynman's Transition Amplitudes in the Space S'_n
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2007 In this paper we propose a rigorous formulation for Feynman's propagator of Quantum Mechanics; the space in which we build up the propagator is the space of tempered distributions Sn'.
Carfi', D
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Evolutionary Sequential Monte Carlo Samplers for Change-Point Models
Econometrics, 2016 Sequential Monte Carlo (SMC) methods are widely used for non-linear filtering purposes. However, the SMC scope encompasses wider applications such as estimating static model parameters so much that it is becoming a serious alternative to Markov-Chain ...
Arnaud Dufays
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Axioms, 2023 We consider five types of entropies for Gaussian distribution: Shannon, Rényi, generalized Rényi, Tsallis and Sharma–Mittal entropy, establishing their interrelations and their properties as the functions of parameters.
Anatoliy Malyarenko +3 more
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