Results 31 to 40 of about 989 (103)
Some Remarks on the Extended Hartley‐Hilbert and Fourier‐Hilbert Transforms of Boehmians
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We obtain generalizations of Hartley‐Hilbert and Fourier‐Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance.
S. K. Q. Al-Omari +2 more
wiley +1 more source
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
Eigenfunction expansions of ultradifferentiable functions and ultradistributions [PDF]
, 2016 In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold $X$.
Dasgupta, Aparajita, Ruzhansky, Michael
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The wavelet transforms in Gelfand-Shilov spaces [PDF]
, 2015 We describe local and global properties of wavelet transforms of ultradifferentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand-Shilov type spaces and their duals. In particular, we introduce
Pilipovic, Stevan +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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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
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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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
An Introduction to Extended Gevrey Regularity
AxiomsGevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when ...
Nenad Teofanov +2 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