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Global Hypoellipticity and Simultaneous Approximability

✍ Scribed by A.Alexandrou Himonas; Gerson Petronilho


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
148 KB
Volume
170
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES


Global analytic, Gevrey and C∞ hypoellip
✍ A. Alexandrou Himonas; Gerson Petronilho; L. A. Carvalho dos Santos πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 223 KB

## Abstract It is proved that a class of sub‐Laplacians on the 3‐dimensional torus is globally analytic, Gevrey and __C__^∞^ hypoelliptic if and only if either a Diophantine condition holds or there is a point of finite type for the vector fields defining the operator under consideration. This work

Global smoothness preservation and simul
✍ George A. Anastassiou πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 235 KB

In this article we continue with the study of multivariate smooth general singular integral operators over R N , N β‰₯ 1, regarding their simultaneous global smoothness preservation property with respect to the L p norm, 1 ≀ p ≀ ∞, by involving multivariate higher order moduli of smoothness. Also we s

Simultaneous Approximation and Quasi-Int
✍ Kang Zhao πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 748 KB

It is shown that the shift-invariant space S(.) generated by . # W m 2 (R s ) provides simultaneous approximation order k, with k>m, iff S(D : .) provides approximation order k&m in the L 2 (R s )-norm to all functions in D : W k 2 (R s ) for each |:| =m. Without appealing to the argument of polynom