Perturbations of Globally Hypoelliptic Operators
β Scribed by A.P. Bergamasco
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 454 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The purpose of this paper is to establish the following result. Let L 1 and L 2 be subelliptic operators on R n x and R m y , respectively. Assume that \* # C (R n x ) with \* 0, assume that \* has a zero of infinite order at the origin and that all other zeroes of \* are of finite order. Then the
## Abstract We describe the essential spectrum of a hypoelliptic pseudoβdifferential operator which is the sum of a constantcoefficients operator and an operator with coefficients vanishing at infinity. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
An improvement of a perturbation theory lemma by M. M. Skriganov which gives an upper bound to the shift of eigenvalues is presented along with other related theorems. These results are also compared with Temple's inequality and the generalized Temple's inequality. Applications to spectral theory of