Convergence of regularized traces of powers of the Laplace-Beltrami operator with potential on the sphere S{sup n}
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
For the Laplace-Beltrami operator -{delta} on the sphere S{sup n} perturbed by the operator of multiplication by an infinitely smooth complex-valued function q, the convergence without brackets of regularized traces is studied. Sharp estimates of {alpha} in the cases of absolute and conditional convergence are obtained. Explicit formulae for the coefficients {chi}{sub j} are obtained for odd potentials q.
- OSTI ID:
- 21202890
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 190; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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