T. Umeda

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math.SP2003

Generalized eigenfunctions of relativistic Schroedinger operators I

Tomio Umeda

Generalized eigenfunctions of the 3-dimensional relativistic Schrödinger operator $Δ + V (x)$ with $∣ V (x) ∣ \leq C < x >^{- σ}$ , $σ > 1$ , are considered. We show that the generalize…

math.SP1999

Resolvent estimates of the Dirac operator

Chris Pladdy, Yoshimi Saito, Tomio Umeda

We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that t…