most citedSpectral criteria for solutions of evolution equations and comments on reduced spectra

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math.FA2010★ 10 cited

Spectral criteria for solutions of evolution equations and comments on reduced spectra

Bolis Basit, Hans Günzler

We revisit the notion of reduced spectra $sp_{\Cal {F}} (ϕ)$ for bounded measurable functions , ${\Cal {F}}\subset L^1_{loc}(J,\Bbb{X})$. We show that…

math.FA2010

Spectral characterization of absolutely regular vector-valued distributions

Bolis Basit, Alan J. Pryde

We study the reduced Beurling spectra $sp_{\Cal {A},V} (F)$ of functions $F \in L^1_{loc} (\jj,X)$ relative to certain function spaces $\Cal{A}\st L^{\infty}(\jj,X)$ and $V\st L^1…