Spectral Multipliers for Schr ¨ Odinger Operators with P ¨ Oschl-teller Potential

Content Provider	Semantic Scholar
Author	Zheng, Shijun
Copyright Year	2008
Abstract	We prove a sharp Mihlin-Hormander multiplier theo- rem for Schrodinger operators H on R n . The method, which allows us to deal with general potentials, improves Hebisch's method re- lying on heat kernel estimates for positive potentials (22, 12). Our result applies to, in particular, the negative Poschl-Teller potential V (x) = −�(� + 1)sech 2 x, � ∈ N, for which H has a resonance at zero.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/math/0610096v2.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article