Results 31 to 40 of about 987 (103)
Convolution of n-dimensional Tempered Ultradistributions and Field Theory [PDF]
, 2003 In this work, a general definition of convolution between two arbitrary Tempered Ultradistributions is given. When one of the Tempered Ultradistributions is rapidly decreasing this definition coincides with the definition of J. Sebastiao e Silva.
Bollini, C. G., Rocca, M. C.
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Superprocesses on ultradistributions [PDF]
Stochastics, 2016 Stochastic solutions provide new rigorous results for nonlinear PDE's and, through its local non-grid nature, are a natural tool for parallel computation. There are two different approaches for the construction of stochastic solutions: McKean's and superprocesses.
openaire +2 more sources
The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics [PDF]
, 2016 We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces.
Kostadinova, Sanja +3 more
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Characterization of the w-Tempered ultradistributions
Boletim da Sociedade Paranaense de Matemática, 2021 We use apreviously obtained characterization of test functions of w-Tempered Ultradistributions to charcterize the space w-Tempered Ultradistributions using Riesz representation Theorem.
Ibraheem Amohammad Abu-Falahah +1 more
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Optimal embeddings of ultradistributions into differential algebras
, 2017 We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in these algebras
Debrouwere, Andreas +2 more
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Structural theorems for quasiasymptotics of ultradistributions [PDF]
, 2019 We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ...
Neyt, Lenny, Vindas Diaz, Jasson
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Progressive Gelfand‐Shilov Spaces and Wavelet Transforms
Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012 We discuss progressive Gelfand‐Shilov spaces consisting of analytic signals with almost exponential decay in time and frequency variables. It is shown that such signals enjoy an additional localization property. We define wavelet transform and inverse wavelet transform in (progressive) Gelfand‐Shilov spaces and study their continuity properties.
Dušan Rakić +2 more
wiley +1 more source
Application of the functional calculus to solving of infinite dimensional heat equation
Karpatsʹkì Matematičnì Publìkacìï, 2016 In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions.
S.V. Sharyn
doaj +1 more source
Translation-modulation invariant Banach spaces of ultradistributions [PDF]
, 2018 We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products; furthermore, they have a natural Banach convolution module structure over
Dimovski, Pavel +3 more
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Structure Theorem for Functionals in the Space 𝔖ω1,ω2′
International Journal of Mathematics and Mathematical Sciences, Volume 2008, Issue 1, 2008., 2008 We introduce the space 𝔖ω1,ω2 of all C∞ functions ϕ such that sup|α|≤m∥ekω1∂αϕ∥∞ and sup|α|≤m∥ekω2∂αϕ∧∥∞ are finite for all k ∈ ℕ0, α∈ℕ0n, where ω1 and ω2 are two weights satisfying the classical Beurling conditions. Moreover, we give a topological characterization of the space 𝔖ω1,ω2 without conditions on the derivatives.
Hamed M. Obiedat +3 more
wiley +1 more source