Abstract
The purpose of this work is to prove the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces
Funding statement: The authors were supported by the Laboratory of Mathematical Analysis and Applications, Université d’Oran 1.
References
[1] P. Bolley and J. Camus, Powers and Gevrey’s regularity for a system of differential operators, Czechoslovak Math. J. 29(104) (1979), no. 4, 649–661. 10.21136/CMJ.1979.101644Suche in Google Scholar
[2] C. Bouzar and R. Chaili, Gevrey vectors of multi-quasi-elliptic systems, Proc. Amer. Math. Soc. 131 (2003), no. 5, 1565–1572. 10.1090/S0002-9939-02-06799-0Suche in Google Scholar
[3] D. Calvo, G. De Donno and L. Rodino, Operators with polynomial coefficients and generalized Gelfand–Shilov classes, Pliska Stud. Math. Bulgar. 21 (2012), 7–24. Suche in Google Scholar
[4] D. Calvo and L. Rodino, Iterates for operators and Gelfand–Shilov classes, Integral Transforms Spec. Funct. 22 (2011), no. 4–5, 269–276. 10.1080/10652469.2010.541037Suche in Google Scholar
[5] M. Cappiello and L. Rodino, SG-pseudodifferential operators and Gelfand–Shilov spaces, Rocky Mountain J. Math. 36 (2006), no. 4, 1117–1148. 10.1216/rmjm/1181069407Suche in Google Scholar
[6] M. Cappiello and J. Toft, Pseudo-differential operators in a Gelfand–Shilov setting, Math. Nachr. 290 (2017), no. 5–6, 738–755. 10.1002/mana.201500465Suche in Google Scholar
[7] R. Chaïli, Systems of differential operators in anisotropic Roumieu classes, Rend. Circ. Mat. Palermo (2) 62 (2013), no. 2, 189–198. 10.1007/s12215-012-0101-7Suche in Google Scholar
[8] G. M. Constantine and T. H. Savits, A multivariate Faà di Bruno formula with applications, Trans. Amer. Math. Soc. 348 (1996), no. 2, 503–520. 10.1090/S0002-9947-96-01501-2Suche in Google Scholar
[9] I. M. Gelfand and G. E. Shilov, Generalized Functions. Vol. 2, Academic Press, New York, 1968. Suche in Google Scholar
[10] H. Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105. Suche in Google Scholar
[11] F. Nicola and L. Rodino, Global Pseudo-Differential Calculus on Euclidean Spaces, Pseudo Diff. Oper. 4, Birkhäuser, Basel, 2010. 10.1007/978-3-7643-8512-5Suche in Google Scholar
[12] L. Zanghirati, Iterates of quasielliptic operators, and Gevrey classes, Boll. Un. Mat. Ital. B (5) 18 (1981), no. 2, 411–428. Suche in Google Scholar
© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform
Artikel in diesem Heft
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform