Boundary value problems and convolutional systems over rings of ultradistributions [PDF]
, 2010 One dimensional boundary value problems with lumped controls are considered. Such systems can be modeled as modules over a ring of Beurling ultradistributions with compact support. This ring appears naturally from a corresponding Cauchy problem. The heat
Mounier, Hugues +2 more
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Hilbert transform and singular integrals on the spaces of tempered ultradistributions [PDF]
, 2000 The Hilbert transform on the spaces $S'*(R^d)$ of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a ...
Pilipović, Stevan +2 more
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Multi-anisotropic Gevrey classes and ultradistributions [PDF]
, 2008 We consider a relevant generalization of the standard Gevrey classes, the so-called multi-anisotropic spaces, defined in terms of a given complete polyhedron. With respect to the previous literature on the subject, we concentrate here in the study of the
MORANDO, Alessandro, Calvo, Daniela
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A Review of the Classical Canonical Ensemble Treatment of Newton's Gravitation. [PDF]
Entropy (Basel), 2019 Pennini F, Plastino A, Rocca M, Ferri G.
europepmc +1 more source
Laplace ultradistributions on a half line and a strong quasi-analyticity principle [PDF]
, 1996 Several representations of the space of Laplace ultradistributions supported by a half line are given.
Łysik, Grzegorz
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On a space of smooth functions on a convex unbounded set in ℝn admitting holomorphic extension in ℂn
Open Mathematics, 2012 Musin Il’dar, Yakovleva Polina
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Ultradistributions, III. Vector valued ultradistributions and the theory of kernels
Ultradistributions, III. Vector valued ultradistributions and the theory of kernelsapplication ...
openaire
On Tempered Ultradistributions in Classical Sobolev Spaces [PDF]
We study the inclusion of tempered ultradistributions (or functions of slow growth) in the notion of classical Sobolev spaces. We investigate basically the properties of tempered ultradistribution spaces in Sobolev spaces.
Egwe, M. E., Amaonyeiro, A. U.
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Spaces of tempered ultradistributions and differential equations
Novi Sad Journal of Mathematics - NSJOM, 2000 Summary: In the paper we considere the Laplace equation and apply the heat kernel method to obtain some properties of solutions.
Lozanov-Crvenković, Zagorka +1 more
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On Extended Family of Fractional Sobolev Spaces Via Ultradistributions of Slow Growth [PDF]
This paper considers a new version of fractional Sobolev spaces $\widetilde{\mathcal{W}}_{\mathcal{U}}^{β,p}(\mathbb{C}^{n})$ defined using the concept of tempered ultradistributions with respect to the spaces of ultradifferentiable functions $\mathcal{U}
Egwe, Murphy E, Amaonyeiro, Anslem
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