On Schrödinger Oscillatory Integrals Associated with the Dunkl Transform
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DOI: 10.1007/s00041-018-9597-3
Abstract: In the paper we study the Schrödinger oscillatory integrals $$T^t_{\lambda ,a}f(x)$$Tλ,atf(x) ($$\lambda \ge 0$$λ≥0, $$a>1$$a>1) associated with the one-dimensional Dunkl transform $${\mathscr {F}}_{\lambda }$$Fλ. If $$a=2$$a=2, the function $$u(x,t):=T^t_{\lambda ,2}f(x)$$u(x,t):=Tλ,2tf(x) solves the free Schrödinger equation… read more here.
Keywords: schr dinger; oscillatory integrals; dunkl transform; dinger oscillatory ... See more keywords