Resumen de Unbounded operators: functional calculus, generation, perturbations

Charles Batty

• These lectures review the H1-functional calculus of sectorial operators and related classes of unbounded operators. Their theory is related to the well established theory of C0- semigroups and cosine functions. In most cases the existence of a bounded H1-calculus is equivalent to certain quadratic estimates arising from harmonic analysis. In addition to describing the topic in general, the lectures include recent results in perturbation theory for functional calculus and for di®erentiable semigroups.