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This monograph is concerned with the properties of rational functions with coefficients which are partial differential operators; the Laplace transform calculus will follow from these properties in a standard way once the properties themselves have been established. A general ex…
Introduction Notations and conventions $\mathcal R$-Boundedness and Sectorial Operators: Sectorial operators The classes ${\mathcal{BIP}}(X)$ and $\mathcal H^\infty(X)$ $\mathcal R$-bounded families of operators $\mathcal R$-sectorial operators and maximal $L_p$-regularity Ellip…
