On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space
-
Yasuyuki Oka
yasuyu-o@hoffman.cc.sophia.ac.jp
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000300015Abstract
In this paper, we claim two subjects. One is that the Weyl transform with symbol in the Gel‘fand-Shilov space 
, is a trace class operator. The other one is that the Weyl transform with symbol in the generalized function 
, is a continuous linear transformation from the Gel‘fand-Shilov space 
to 
. As r > 1, Z. Lozanov-Crvenković and D. Perišić have proved in [6] this result. Our second claim includes their result.
Keywords
Similar Articles
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Manoj Bhardwaj, Alexander V. Osipov, Some observations on a clopen version of the Rothberger property , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- M.I. Belishev, Dynamical Inverse Problem for the Equation ð’°áµ¼áµ¼ − Δ𒰠− ∇ln𜌠· ∇𒰠= 0 (the BC Method) , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Stanislas Ouaro, Noufou Sawadogo, Nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary condition , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Gina Lusares, Armando Rodado Amaris, Parametrised databases of surfaces based on Teichmüller theory , CUBO, A Mathematical Journal: Vol. 18 No. 1 (2016): CUBO, A Mathematical Journal
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Reji T., Jinitha Varughese, Ruby R., On graphs that have a unique least common multiple , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Adusei-Poku Afful, Ernest Yankson, Agnes Adom-Konadu, Existence and stability of solutions of totally nonlinear neutral Caputo q-fractional difference equations , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2010-10-01
How to Cite
[1]
Y. Oka, “On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space”, CUBO, vol. 12, no. 3, pp. 241–253, Oct. 2010.
Issue
Section
Articles
