Results 21 to 30 of about 370 (125)

Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions [PDF]

Journal of Pseudo-Differential Operators and Applications
In the first part we analyze space $\mathcal G^*(\mathbb R^{n}_+)$ and its dual through Laguerre expansions when these spaces correspond to a general sequence $\{M_p\}_{p\in\mathbb N_0}$, where $^*$ is a common notation for the Beurling and Roumieu cases of spaces.
Pilipović, Stevan, Vučković, Đorđe
openaire   +4 more sources

Projective descriptions of spaces of functions and distributions

Mathematische Nachrichten, Volume 296, Issue 3, Page 915-937, March 2023., 2023
Abstract We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by seminorms, which are defined by a combination of classical norms and multiplication or convolution with certain functions.
Christian Bargetz, Eduard A. Nigsch, Norbert Ortner   +2 more
wiley   +1 more source

Action of Ornstein-Uhlenbeck Semigroup on (w1,w2)-Tempered Ultradistributions [PDF]

, 2020
Using a previously obtained structure theorem for (w1,w2)-tempered ultradistributions by the classical Riesz representation theorem, we investigate the action of the Ornstein-Uhlenbeck semigroup on (w1,w2)-tempered ultradistributions.
Al-Sa’di, Sa’ud, Qadomi, Ala, Abu-Dalu, Maysam   +2 more
core   +2 more sources

On One Evolution Equation of Parabolic Type with Fractional Differentiation Operator in S Spaces

International Journal of Differential Equations, Volume 2020, Issue 1, 2020., 2020
In the paper, we investigate a nonlocal multipoint by a time problem for the evolution equation with the operator A = (I − Δ)ω/2, Δ = (d2/dx2), and ω ∈ [1; −2) is a fixed parameter. The operator A is treated as a pseudodifferential operator in a certain space of type S. The solvability of this problem is proved.
V. V. Gorodetskiy, R. S. Kolisnyk, N. M. Shevchuk, Mayer Humi   +3 more
wiley   +1 more source

A multidimensional Tauberian theorem for Laplace transforms of ultradistributions [PDF]

, 2020
We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bounded sets in spaces of ultradistributions with supports in a convex acute ...
Vindas Diaz, Jasson, Neyt, Lenny
core   +1 more source

Inhomogeneous Gevrey classes and ultradistributions [PDF]

, 2004
The inhomogeneous Gevrey classes, defined in terms of Fourier transform, are a natural extension of the standard Gevrey classes. We find equivalent characterizations and discuss algebraic and topological properties. We therefore introduce the dual spaces,
MORANDO, Alessandro, Rodino, Luigi Giacomo, Rodino, Luigi, Calvo, Daniela   +3 more
core   +1 more source

Treatment of Gamow States, Using Tempered Ultradistributions [PDF]

, 2022
In the present manuscript, and with the use of tempered ultradistributions, we extend analitically the pseudonorm of Gamow states as defined originally by T. Berggren.
De Paoli, Ángel Luis, Rocca, Mario Carlos, Estevez, M. A., Vucetich, Héctor   +3 more
core   +3 more sources

Convolution equations for ultradifferentiable functions and ultradistributions [PDF]

, 2004
We characterize surjectivity of convolution operators on spaces of ultradifferentiable functions and ultradistributions of Beurling type in the spirit of Hörmander's convexity conditions. This completes results of Bonet, Galbis, and Meise. In contrast to
Frerick, L., Wengenroth, J.
core   +1 more source

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, Hamed M. Obiedat   +1 more
openaire   +3 more sources

Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support

International Journal of Mathematics and Mathematical Sciences, Volume 2018, Issue 1, 2018., 2018
Let Sω′(R) be the space of tempered distributions of Beurling type with test function space Sω(R) and let Eω,p be the space of ultradifferentiable functions with arbitrary support having a period p. We show that Eω,p is generated by Sω(R). Also, we show that the mapping Sω(R)→Eω,p is linear, onto, and continuous and the mapping Sω,p′(R)→Eω,p′ is linear
Byung Keun Sohn, Jean Michel Rakotoson
wiley   +1 more source