Sum rules for spectral densities of differential operators and generalized heat kernel expansion
✍ Scribed by Guido Cognola; Luciano Vanzo; Sergio Zerbini
- Book ID
- 113356728
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 306 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0370-2693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper derives inequalities for multiple integrals from which sharp inequalities for ratios of heat kernels and integrals of heat kernels of certain Schro dinger operators follow. Such ratio inequalities imply sharp inequalities for spectral gaps. The multiple integral inequalities, although ver
In this work we consider the eigenfunction V , t satisfying a condition at Ž . infinity of a singular second order differential operator on 0, qϱ . We give an < < asymptotic expansion of this solution with respect to the variable as ª qϱ, which permits us to establish a generalized Schlafli integral