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Manifolds with group actions and elliptic operators

About this Title

Vladimir Ya. Lin and Yehuda Pinchover

Publication: Memoirs of the American Mathematical Society
Publication Year 1994: Volume 112, Number 540
ISBNs: 978-0-8218-2604-1 (print); 978-1-4704-0119-1 (online)
MathSciNet review: 1230774
MSC: Primary 58G03; Secondary 35C15, 35J15

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Table of Contents


  • 1. Introduction
  • 2. Some notions connected with group actions
  • 3. Some notions and results connected with elliptic operators
  • 4. Elliptic operators and group actions
  • 5. Positive multiplicative solutions
  • 6. Nilpotent groups: extreme points and multiplicative solutions
  • 7. Nonnegative solutions of parabolic equations
  • 8. Invariant operators on a manifold with boundary
  • 9. Examples and open problems
  • 10. Appendix: analyticity of $\Lambda (\xi - \mathcal {L})$