Results 11 to 20 of about 952,579 (232)
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
doaj +2 more sources
Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
International Journal of Mathematics and Mathematical Sciences, 2013 Let be the generalized tempered distributions of -growth with restricted order , where the function grows faster than any linear functions as . We show the convergence of multiresolution expansions of in the test function space of .
Byung Keun Sohn
doaj +2 more sources
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
doaj +1 more source
Tempered Stable Distributions: Properties And Extensions [PDF]
, 2011 It has been observed that data often appears to be well approximated by infinite variance stable distributions in some central region, but the tails of the distribution are actually lighter. Tempered stable distributions, which were introduced in [Ros07],
Grabchak, Michael
core +6 more sources
Discrete Tempered Stable Distributions [PDF]
Methodology and Computing in Applied Probability, 2021 A discrete tempered stable (DTS) random variable \(X\) with parameters \(\alpha\in(0,1)\) and \(\eta\geq0\), and with tempering function \(q\) satisfying \(\lim_{x\downarrow0}q(x)=1\) and \(\mathrm{ess}\sup q(x)
openaire +1 more source
Mixed tempered stable distribution [PDF]
Quantitative Finance, 2014 In this paper we introduce a new parametric distribution, the Mixed Tempered Stable. It has the same structure of the Normal Variance Mean Mixtures but the normality assumption leaves place to a semi-heavy tailed distribution. We show that, by choosing appropriately the parameters of the distribution and under the concrete specification of the mixing ...
Rroji E, Mercuri L
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source