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Spectral projections and the commutant of the Laplace operator in

✍ Scribed by Ricker, Werner J.

Publisher
Springer-Verlag
Year
1987
Weight
416 KB
Volume
57
Category
Article
ISSN
0370-7377

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πŸ“œ SIMILAR VOLUMES

The Commutant of the Laplace Operator in
The Commutant of the Laplace Operator in Lp(R)
✍ Werner J. Ricker πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 477 KB

## Abstract Let __L__ = ‐ __d__^2^/__dx__^2^ be the Laplace operator in __L^p^__(R), 1<__p__ < ∞. It is shown that a bounded operator __T__ in __L^p^__(R) commutes with __L__, in the sense that the domain __D__ of __L__ is __T__‐invariant and __TLf__ = __LTf__ for each __f__ in __D__, if and only i