Lp-Estimates for Functions of Elliptic Operators on Manifolds of Bounded Geometry

Russian Journal of Mathematical Physics

Volumn 7, Issue 2, 2000, Pages 216-229

  Kordyukov, Yu A ^a  

^a Ufa University of Science and Technology   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034418570     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Cheeger, J., Gromov, M., and Taylor, M., Finite Propagation Speed, Kernel Estimates for Functions of the Laplace Operator and the Geometry of Complete Riemannian Manifolds, J. Diff. Geom., 1982, vol. 17, pp. 15-53.
2. p-Theory of Elliptic Differential Operators on Manifolds of Bounded Geometry, Acta Appl. Math., 1991, vol. 23, pp. 223-260.
3. Kordyukov, Yu. A., Transversally Elliptic Operators on G-Manifolds of Bounded Geometry, Russ. J. Math. Phys., 1994, vol. 2, no. 2, pp. 175-198.
4. Meladze, G. A. and Shubin, M. A., A Functional Calculus of Pseudodifferential Operators on Unimodular Lie Groups, J. Soviet Math., 1989, vol. 47, pp. 2607-2637.
5. Reed, M., and Simon, B., Methods of Mathematical Physics 2: Fourier Analysis, Self-Adjointness, New York: Academic, 1975.
6. Seeley, R., Complex Powers of Elliptic Operators, Proc. Symp. in Pure Math., 1967, vol. 10, pp. 288-307.
7. Shubin, M. A., Spectral Theory of Elliptic Operators on Non-Compact Manifolds, Astérisque, 1992, vol. 207, pp. 35-108.
8. Shubin, M. A., Pseudodifferential Operators and Spectral Theory, Berlin: Springer, 1987.
9. Taylor, M., Pseudodifferential Operators, Princeton: Princeton Univ. Press, 1981.
10. p-Estimates on Functions of the Laplace Operator, Duke Math. J., 1989, vol. 58, pp. 773-793.